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Calculus Help
saxi753
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1
Differential Equation Integrating Factor by Inspection: (x^2 y + y^3- y)dx + (x^3+xy^2+x)dy=0
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saxi753
Differential Equation Integrating Factor by Inspection: (x^2 y + y^3- y)dx + (x^3+xy^2+x)dy=0
#DifferentialEquations
#Inspection
#Calculus
2
Calculus Differential Equations - Integrating Factor by Inspection: (x^3+xy^2-y)dx+(y^3+x^2 y+x)dy=0
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saxi753
Calculus Differential Equations - Integrating Factor by Inspection: (x^3+xy^2-y)dx+(y^3+x^2 y+x)dy=0
Calculus Differential Equations - Integrating Factor by Inspection: (x^3+xy^2-y)dx+(y^3+x^2 y+x)dy=0
#Calculus
#DifferentialEquations
#Inspection
#Technqiues
3
Calculus Help: Separable Differential Equations - y^2 (y^2+1)dx+x (y^2-1) dy=0
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saxi753
Here is the technique to solve this differential equation and how to find them in step-by-step
Calculus Help: Separable Differential Equations - y^2 (y^2+1)dx+x (y^2-1) dy=0
#SeparableDifferentialEquations
#DifferentialEuqations
4
Calculus Help: ∫ (20x^3)/(1+x^4 )^4 dx - Integration by substitution #Substitution #Integrals
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saxi753
Calculus Help: ∫ (20x^3)/(1+x^4 )^4 dx - Integration by substitution #Substitution #Integrals
#Antiderivative
#Calculus
5
Calculus Help: Find the limits - lim (x→1) (x^2-1)/(√x-1 ) - Techniques
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saxi753
Calculus Help: Find the limits - lim (x→1) (x^2-1)/(√x-1 ) - Techniques
#Limits
#Calculus
#Techniques
6
Calculus Help: Separable Differential equations - y=2xy'-2y'+1 - Techniques
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saxi753
Separable Differential equations - y=2xy'-2y'+1 - Techniques
#separabledifferentialequations
#differentialequation
7
Calculus Help: Bernoulli's Equations - dy/dx-4y=2xy^2 ,y(0)=-4
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saxi753
Calculus Help: Bernoulli's Equations - dy/dx-4y=2xy^2 ,y(0)=-4
#BernoulliEquations
#Equations
#CalculusHelp
8
Calculus Help: Separable Differential Equations: (e^t y+t e^t y) dt+(t e^t+2)dy=0 ,y(0)=-1
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saxi753
(e^t y+t e^t y) dt+(t e^t+2)dy=0 ,y(0)=-1
#SeparableDifferentialEquations
#DifferentialEquations
#CalculusHelp
#Techniques
9
Calculus Help: How to compute double summation ∑∑ (i - j) - Basic - Step-by-step
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saxi753
Calculus Help: How to compute double summation ∑∑ (i - j) - Basic - Step-by-step
#DoubleSummation
#Summation
#Calculus
10
The graph above shows the base of an object. Compute the exact value of the
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saxi753
The graph above shows the base of an object. Compute the exact value of the volume of the object, given that cross sections (perpendicular to the base) are squares.
#CrossSection
#Area
#Volume
#Integrals
11
Calculus Help: A ball of radius 13 has a round hole of radius 9 drilled through its center.
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saxi753
A ball of radius 13 has a round hole of radius 9 drilled through its center.
#Radius
#Calculus
#Integral
#Volume
#Integrations
12
Calculus Help: Find 4∑ (5i)i=1 First write out the summation: Find the answer
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saxi753
Calculus Help: Find 4∑ (5i)i=1 First write out the summation: Find the answer
#Summation
#Calculus
13
Calculus Help: Calculus Help: If I_n=∫ x^n e^x dx ,n∈NProve that I_n=x^n e^x-nI_(n-1) #Parts
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Calculus Help: If I_n=∫ x^n e^x dx ,n∈NProve that I_n=x^n e^x-nI_(n-1) #Parts #Integrals
#Techniques
14
Calculus Help: Reverse the order with the order of integration and evaluate ∫ ∫ cos(32π x^6) dx dy
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saxi753
#DoubleIntegrals
#Integrations
#Reversed
#Calculus
15
Calculus Help: Find the limit: lim (x→0) sin^2 (3x) /(1-cos2x) - Techniques
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saxi753
Calculus Help: Find the limit: lim (x→0) sin^2 (3x) /(1-cos2x) - Techniques
#Calculus
#Limit
#Functions
16
Calculus Help: Separable Differential Equations: √(4+x^2 ) y^'-xy^2=0 ,y(0)=-1/4
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saxi753
Calculus Help: Separable Differential Equations: √(4+x^2 ) y^'-xy^2=0 ,y(0)=-1/4
#SeparableDifferentialEquations
#DifferentialEquations
17
Calculus Help: An object of mass m is dropped into the sea at the surface. It is subject to a
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saxi753
An object of mass m is dropped into the sea at the surface. It is subject to a constant gravitational acceleration g and water resistance. (a) (4 points) If the water resistance is proportional to the object's velocity v(t) with coefficient b ≫ 0, so that Newton's second law gives b dv/dt =g- b/m v show that the object's velocity as a function of time t is given by v(t) = mg/b (1-e^(-bt/m)). We take downward to be the positive direction and the object is at rest when it is dropped at t=0. (b) (4 points) If instead the water resistance is quadratic in the velocity, so that Newton's second law gives dv/dt =g- b/m v^2 dt m dv dt find the object's velocity as a function of time t, again assuming that the object is dropped from rest. [Hint: Write Newtons' law as = g(1 − k^2v^2) where k = √b/mg. Then the algebra is a little less messy. After obtaining the final answer in terms of k, remember to replace k by √b/mg.] (c) (2 points) If the object could fall forever under these conditions without hitting the bottom, show that as t→ ∞ the velocity in part (a) approaches terminal velocity v → mg/b. What terminal velocity does the velocity in part (b) approach?
#CalculusHelp
#Integrals
#differentialequations
#PartialFractions
18
Calculus : Multivariable Limit - lim((x,y)→(0,0)) (x^4+y^4)/(x^3-y^3 ) - Techniques
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saxi753
Calculus Help: Multivariable Limit - lim((x,y)→(0,0)) (x^4+y^4)/(x^3-y^3 ) - Techniques
#MultivariableLimit
#Limits
#Calculus
19
Calculus Inverse Laplace Transformation L^(-1) {1/(1+s^2 )^2 } - Techniques
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saxi753
Inverse Laplace Transformation
L^(-1) {1/(1+s^2 )^2 }
#InverseLaplaceTransformation
#LaplaceTransformation
#Calculus
20
Integral: ∫ cosx cos^2 (sinx)dx ∫ sinx cos^2 (cosx) dx ∫ cosx sin^2 (sinx)dx ∫sinx sin^2(cosx)dx
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saxi753
Here is the technique to solve these 4 integrals by integration by substitution
∫ cosx cos^2 (sinx) dx
∫ sinx cos^2 (cosx) dx
∫ cosx sin^2 (sinx) dx
∫ sinx sin^2 (cosx) dx
#CalculusHelp
#Integral
#Integrations
#IntegrationbySubstitution
#Substitution
21
Calculus Help: Integral ∫ sin2x/e^x dx - Integration by parts - Techniques
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saxi753
Calculus Help: Integral ∫ sin2x/e^x dx - Integration by parts - Techniques
#Integral
#Integrations
#Calculus
#Formula
#Parts
22
Calculus Help: Euler's Method Approximation: Given initial value: x=0.1,0.2,0.3 dy/dx=y(6-y), y(0)=4
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Calculus Help: Euler's Method Approximation: Given initial value: x=0.1,0.2,0.3 dy/dx=y(6-y), y(0)=4
#Euler
#Approximation
#Calculus
23
Calculus Help: Integral ∫ 1/(3+2tanx) dx - Find the coefficient - Integration by substitution
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Calculus Help: Integral ∫ 1/(3+2tanx) dx - Find the coefficient - Integration by substitution
#Integral
#Integrations
#Calculus
#Antiderivative
24
Second-order homogeneous linear difference equation with constant coefficients - Recurrence relation
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saxi753
Second-order homogeneous linear difference equation with constant coefficients - Recurrence relation
#Calculus
#Techniques
25
Calculus: First-order Linear Difference Equations with Constant Coefficient - recurrence relations
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saxi753
Calculus: First-order Linear Difference Equations with Constant Coefficient - recurrence relations
#Calculus
#Techniques
26
Calculus Help: Integral ∫ (x+1) e^2x e^(x^2 ) dx - Integration by substitution
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saxi753
Calculus Help: Integral ∫ (x+1) e^2x e^(x^2 ) dx - Integration by substitution
#Calculus
#Integral
#Integrations
#Substitution
27
Calculus Help: Integral ∫ ∛(e^arccot(4x) )/(16x^2+1) dx - Integration by substitution
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saxi753
∫▒〖∛(e^arccot(4x) )/(16x^2+1) dx〗
Integration by substitution
#Integration
#Calculus
#Substitution
#Techniques
28
Calculus Help: ∫ (2+(lnx)^2)/(x(2-lnx)) dx - Integration by substitution
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saxi753
Here is the technique to solve this integration and how to find them in step-by-step
#Integral
#Integrations
#Calculus
#Substitution
29
Calculus Help: Integral of ∫ arctanx / x^2 dx - Integration by parts and division
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saxi753
Calculus Help: Integral of ∫ arctanx / x^2 dx - Integration by parts and division
#Integral
#Calculus
#Parts
30
Calculus Help: Integral ∫ 1/(x^3+x) dx - Integration by trigonometric substitution
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saxi753
Calculus Help: Integral ∫ 1/(x^3+x) dx - Integration by trigonometric substitution
#Integral
#Integrations
#Calculus
#Techniques
#TrigonometricSubstitution
31
Calculus Help: Integral ∫ dx/(x^2 √(x^2-1)) - Integration by trigonometric substitution
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saxi753
Calculus Help: Integral ∫ dx/(x^2 √(x^2-1)) - Integration by trigonometric substitution
#Integral
#Integrations
#Trigonometric
#Techniques
32
Calculus Help: Integral of dx/(x^3 √(x^2-1)) - Integration of trigonometric substitution
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saxi753
Calculus Help: Integral of dx/(x^3 √(x^2-1)) - Integration of trigonometric substitution
#Integral
#Substitution
#Trigonometric
33
Calculus Help: Integral ∫ x^3/√(x^2+100) dx - Integration by trigonometric substitution
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saxi753
Calculus Help: Integral ∫ x^3/√(x^2+100) dx - Integration by trigonometric substitution
#Integral
#Trigonometric
#Substitution
#Calculus
34
Calculus Help: Integral ∫ dx/(x^2 √(x^2-9)) - Integration by trigonometric substitution
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saxi753
Calculus Help: Integral ∫ dx/(x^2 √(x^2-9)) - Integration by trigonometric substitution
#Trigonometric
#Substitution
#Integrals
#Calculus
35
Calculus Help: Integral from 0 to 1 x^x dx - Gamma Function - Taylor Series - Substitution
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Calculus Help: Integral from 0 to 1 x^x dx - Gamma Function - Taylor Series - Substitution
Here is the technique to solve this question and how to find them in step-by-step
#Techniques
#Solutions
#Answers
#Formula
#GammaFunctions
#Substitution
36
Calculus Help: ∫ √(1+x^2 )/x dx - Integration by trigonometric substitution - Techniques - SOLVED!
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Calculus Help: ∫ √(1+x^2 )/x dx - Integration by trigonometric substitution - Techniques - SOLVED!
#TrigonometricSubstitution
#Substitution
#Calculus
In 2004, an art collector paid $72719000 for a particular painting. The same painting sold for
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saxi753
In 2004, an art collector paid $72719000 for a particular painting. The same painting sold for $34000 in 1950.
a) Find the exponential growth rate k, three decimal places, and determine the exponential growth function V, for which V(t) is the painting's value, in dollars, t years after 1950
b) Predict the value of the painting in 2026
c) Estimate the rate of change of the painting's value in 2026
d) How long after 1950 will the value of the painting be $4 billion
#ExponentialFunction
#Exponential
#Calculus
38
Calculus Help: Separable Differential Equations - (1+y^2 )dx+(1+x^2 )dy=0
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saxi753
Calculus Help: Separable Differential Equations - (1+y^2 )dx+(1+x^2 )dy=0
#DifferentialEquations
#Calculus
#Separable
#Techniques
#CalculusHelp
39
Calculus Help: Integral ∫ x sin(x/a)dx - Integration by parts - Techniques
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saxi753
Here is the technique to solve this integration and how to find them in step-by-step
#Integral
#Integrations
#Parts
#Calculus
40
Calculus Help: Find the value of integral of x^2 lnx dx - Integration by parts
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Calculus Help: Find the value of integral of x^2 lnx dx - Integration by parts
#Integral
#Integration
#Calculus
#Parts
41
Calculus Help: Improper Integrals - ∫ From 1 to ∞ 1/x^2 dx - Integration - Techniques
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Calculus Help: Improper Integrals - ∫ From 1 to ∞ 1/x^2 dx - Integration - Techniques
#ImproperIntegrals
#Integrations
#Calculus
#Integral
#Antiderivative
42
Calculus Help: Integral ∫ (x^2-3x)/√(x+4) dx - Integration by substitution - Techniques
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Calculus Help: Integral ∫ (x^2-3x)/√(x+4) dx - Integration by substitution - Techniques
#Integrals
#Integrations
#Calculus
#Antiderivative
43
Calculus Help: How to determine One-to-one function by illustration
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Calculus Help: How to determine One-to-one function by illustration
#OneToOne
#Functions
#Calculus
#Algebra
44
Calculus Help: Reverse the inverse function: f^(-1) (x) = 2x^3 + 3, write the original function f(x)
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Calculus Help: Reverse the inverse function: f^(-1) (x) = 2x^3 + 3, write the original function f(x)
#InverseFunctions
#Functions
#Calculus
45
Calculus Help: Find the inverse functions - y=2x/(x-3) - Techniques
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Calculus Help: Find the inverse functions - y=2x/(x-3) - Techniques
#Techniques
#Calculus
46
Find the domain of the function: √(x-1)/(x-5) ,3x/√(x+4) ,x/(x^2-9)
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Find the domain of the function: √(x-1)/(x-5) ,3x/√(x+4) ,x/(x^2-9)
#Domain
#Functions
#Calculus
#Formula
47
Calculus Help: Find the domain of function y=x^2/(x-1) y= √(x^2-5x+6) - Techniques
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Calculus Help: Find the domain of function y=x^2/(x-1) y= √(x^2-5x+6) - Techniques
#Domain
#Calculus
#Functions
48
Calculus Help: How to find the domain and the range of inverse function by f(x) graph?
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Calculus Help: How to find the domain and the range of inverse function by f(x) graph?
#Domain
#Range
#InverseFunctions
#Calculus
49
Calculus Help: Find domain: f(x)=(x-3)/(x^2-3x-4); g(x)=4-√(x+9), h(x)=√((x-6)/(x+1)) , f(u)=√(u+1)
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saxi753
Calculus Help: Find domain: f(x)=(x-3)/(x^2-3x-4); g(x)=4-√(x+9), h(x)=√((x-6)/(x+1)) , f(u)=√(u+1)
#Domain
#Calculus
#Techniques
50
Piecewise Function: How to graph the function step-by-step? (Basic)
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saxi753
Piecewise function
f(x): x+2 , x ≤ -1; x^2 , x > -1
f(x): x^2 , x ≥ 1 , √x , 0 ≤ x < 1
#StepbyStep
#PiecewiseFunction
#Calculus
51
Calculus Help: Find the inverse function, range and domain :y=ln((x-1)/(x+1))
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saxi753
Calculus Help: Find the inverse function, range and domain :y=ln((x-1)/(x+1))
#InverseFunction
#Domain
#Range
52
Evaluate ∭_E z dV where E lies above the paraboloid z=x^2+y^2 and below the plane z=2y
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saxi753
Evaluate ∭_E z dV where E lies above the paraboloid z=x^2+y^2 and below the plane z=2y
#PolarCoordinates
#Techniuqes
#Evaluate
#TripleIntegrals
53
Bernoulli Differential Equations: y'+xy=xy^2 , x^2 y'+2xy=y^4 , y'+y=y^4 , y'+1/x y=1/y - SOLVED!!!
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saxi753
Bernoulli Differential Equations: y'+xy=xy^2 , x^2 y'+2xy=y^4 , y'+y=y^4 , y'+1/x y=1/y - SOLVED!!!
#Bernoulli
#BernoulliDifferentialEquations
#DifferentialEquations
#Calculus
#Techniques
54
Calculus Help: Bernoulli's Equations - x^3 y'+x^2 y=2y^(-4/3) - Techniques - SOLVED!!!
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saxi753
Calculus Help: Bernoulli's Equations - x^3 y'+x^2 y=2y^(-4/3) - Techniques - SOLVED!!!
#Bernoulli
#BernoulliEquation
#DifferentialEquations
55
Calculus Help: Bernoulli's Differential Equations - x^2 y'+2xy=5y^3 - Techniques
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saxi753
x^2 y'+2xy=5y^3
Bernoulli' s Equation
#BernoulliEquation
#Bernoulli
#DifferentialEquations
#LinearODE
56
Laplace Transformation - System of Differential Equations: dx/dt+x-2y=0, dy/dt+x+4y=0, x(0)=1,y(0)=1
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saxi753
Laplace Transformation - System of Differential Equations: dx/dt+x-2y=0, dy/dt+x+4y=0, x(0)=1,y(0)=1
#LaplaceTransformation
#DifferentialEquations
#Calculus
#Techniques
#ToanCaoCap
#ToanGiaiTich
57
Laplace Transformation-f(t)=3t^3-5t^2+6, f(t)=6e^5t-5t, f(t)=cos(3t)+3e^2t, f(t)=3cos(2t)-sin(4t)
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saxi753
Laplace Transformation-f(t)=3t^3-5t^2+6, f(t)=6e^5t-5t, f(t)=cos(3t)+3e^2t, f(t)=3cos(2t)-sin(4t)
#LaplaceTransformation
#ToanCaoCap
#ToanGiaiTich
58
Calculus Help: Integral of ∫ dx/√(25-x^2 ) - Integration by trigonometric substitution
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saxi753
Calculus Help: Integral of ∫ dx/√(25-x^2 ) - Integration by trigonometric substitution
#Integral
#TrigonometricSubstitution
#Calculus
59
y''-4y^'+4y=7sinx-cosx - Complementary Solutions and Particular Solutions - Differential Equations
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saxi753
y''-4y^'+4y=7sinx-cosx - Complementary Solutions and Particular Solutions - Differential Equations
#DifferentialEquations
#Calculus
#Techniques
#Solutions
#ComplementarySolutions
#ParticularSolutions
60
Calculus Help: Differential Equations - Linear ODE - y'+x/(x^2+1) y=x - Step-by-step
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saxi753
Here is the technique to solve this question and how to find them in step-by-step
#Integral
#DifferentialEquations
#Calculus
61
Calculus Help: Differential Equations - Homogeneous - y'=(y+2√xy)/x ,x>0,y(1)=1
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saxi753
Here is the technique to solve this differential equations and how to find them in step-by-step
#DifferentialEquations
#Calculus
#Formula
#Homogeneous
62
Calculus Help: Find the limits - lim (x→3) (x^3-27)/(x-3) - Techniques - SOLVED!!!
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saxi753
Calculus Help: Find the limits - lim (x→3) (x^3-27)/(x-3) - Techniques - SOLVED!!!
#Limit
#Functions
#Calculus
63
Calculus Help: Integral: x e^(x^2) dx - Integration by substitution - Techniques - Solutions
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saxi753
Calculus Help: Integral: x e^(x^2) dx - Integration by substitution - Techniques - Solutions
#Integration
#Calculus
#Substitution
64
Calculus Help: Integral of e^(x^2) - Imaginary Error Function
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saxi753
Calculus Help: Integral of e^(x^2) - Imaginary Error Function
#Integral
#ImaginaryErrorFunction
#Calculus
65
Calculus Help: Determine the area under the curve y^2=4x and y-2x+4=0 - Application of Integration
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saxi753
Here is the technique to solve this integration and how to find them in here
#Integral
#Integration
#Calculus
#Formula
#Techniques
#Answers
66
Calculus Help: Integral ∫ From 0 to 1 sinx tanx dx - Basic Trigonometry
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saxi753
Here is the technique to solve this question and how to find them in step-by-step
#Integral
#Integrations
#Calculus
#Formula
67
Calculus Help: Integral of 1/(x^2 √(9-x^2 )) dx - Integration by Trigonometric Substitution
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saxi753
Calculus Help: Integral of 1/(x^2 √(9-x^2 )) dx - Integration by Trigonometric Substitution
#Integration
#Integrals
#Trigonometric
#Substitution
#Calculus
68
Calculus Help: ∫_0^1 arcsinx dx Integration by parts and substitution
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saxi753
Here is the technique to solve this integration and how to find it
∫_0^1▒arcsinx dx
Integration by parts
#Integral
#Integrations
#Calculus
#Substitution
69
Calculus Help: Integral ∫ 0^2 x√(3x^2+5) dx - Integration by substitution
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saxi753
Here is the technique to solve this question and how to find them in step-by-step
#Calculus
#Integral
#Integrations
70
Calculus Help: Find the limits - lim(x→2) (4-2x)/(4-x^2 ) - Techniques - SOLVED!!
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saxi753
Calculus Help: Find the limits - lim(x→2) (4-2x)/(4-x^2 ) - Techniques - SOLVED!!
#Limits
#CalculusHelp
71
Complementary and Particular: y''-4y'+4y=2+8x-4x^2- Undetermined Coefficients -Differential Equation
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saxi753
Complementary and Particular: y''-4y'+4y=2+8x-4x^2- Undetermined Coefficients -Differential Equation
#DifferentialEquations
#ComplementarySolutions
#UndeterminedCoefficients
72
Calculus: Complementary and Particular Solutions: y'' - y' - 2y = e^(3x) - Differential Equations
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saxi753
Calculus: Complementary and Particular Solutions: y'' - y' - 2y = e^(3x) - Differential Equations
#DifferentialEquations
#ComplementaryAndParticularSolutions
#UndeterminedCoefficients
73
Undetermined Coefficients: Differential Equations -y''+9y=2cos2x- Complementary/Particular Solutions
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saxi753
Undetermined Coefficients: Differential Equations -y''+9y=2cos2x- Complementary/Particular Solutions
#DifferentialEquations
#UndeterminedCoefficients
#CalculusHelp
74
Calculus Help: Find the arc length y=4/3 x^(3/2) on the interval [0,1]
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saxi753
Here is the technique to solve the question and find the arc length
#ArcLength
#Calculus
#Formula
75
Calculus Help: Find the area between the curve y=x^2 and y=-x^2 + 18x
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saxi753
Calculus Help: Find the area between the curve y=x^2 and y=-x^2 + 18x
#Calculus
#Integral
#Integrations
#Area
76
Calculus Help: ∫ 1/√(1+9x^2 ) dx - Integration by trigonometric substitution - Step-by-step
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saxi753
Here is the technique to solve this integration and how to find them in step-by-step
#Integral
#Integration
#Calculus
#Formula
77
Calculus Help: Integral of x^2 sinx dx - Integration by parts by using the table
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saxi753
Calculus Help: Integral of x^2 sinx dx - Integration by parts by using the table
#Integral
#Integrations
#Calculus
#Parts
#IntegrationByParts
78
Calculus Help: The cost function, in dollars, of a company that manufactures food
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saxi753
The cost function, in dollars, of a company that manufactures food processors is given by C(x)=250+6/x+x^2/5 where x is the number of food processors manufactured
a) Find the marginal cost function
b) F'(11)
#Derivative
#Calculus
#ApplicationOfDerivative
79
Calculus Help: Use cylindrical shells to find the volume of the solid generated when: y=x^2 1 to 6
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saxi753
Calculus Help: Use cylindrical shells to find the volume of the solid generated when: y=x^2 1 to 6
#Integral
#Integrations
#Calculus
#Techniques
80
Calculus Help: Find the limits - lim (x→0)(1/tanx-1/sinx) - Techniques - SOLVED!!
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saxi753
Calculus Help: Find the limits - lim (x→0)(1/tanx-1/sinx) - Techniques - SOLVED!!
#Limits
#Functions
#Calculus
#Techniques
81
Vietnam High School Math Grade 12: Elon Musk had developed the rockets that could allow to return
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saxi753
Elon Musk had developed the rockets that could allow to return back the rocket launch station
There are 2 scenarios below.Find the rate of change of the angle of audience
. Let a is the rate of change (rad/km) after launching and b is the rate of change (rad/km) before going back the station
Find a^2+b (Round the final result by one decimal place)
#HighSchoolMath
#Grade12
#ApplicationOfDerivative
#Derivative
82
If the function f(x) has continuous derivative, 2f(x)+3f(1-x)=√(1-x^2 ) then ∫_0^1 f'(x) dx
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saxi753
If the function f(x) has continuous derivative on [0;1] and satisfies the condition
2f(x)+3f(1-x)=√(1-x^2 ) then calculate ∫_0^1 f'(x) dx
A.I=0 B.I=1 C.I=1/2 D.I=3/2
#CalculusHelp
#Integral
#Integrations
#Solutions
83
Find the approximation of c such that ∫ from c to x f(t) dt = x^3 + 3x^2 + 2x - 3
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saxi753
#Integral
#Integrations
#Antiderivative
84
Calculus Help: ∫ dx/(x^2 √(a^2-x^2 )) - Integration by trigonometric substitution
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saxi753
Calculus Help: ∫ dx/(x^2 √(a^2-x^2 )) - Integration by trigonometric substitution
#CalculusHelp
#Integrals
#Integrations
#TrigonometricSubstitution
#Substitution
85
Calculus Help The upper right-hand corner of a piece of paper, 30 centimeters by 20 centimeters fold
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saxi753
The upper right-hand corner of a piece of paper, 30 cm by 20 cm, as in the figure, is folded over to the bottom edge. How would you fold it so as to minimize the length of the fold? In other words, how would you choose x to minimize y?
#Calculus
#Derivative
86
Calculus Help: Find the limits - lim(x→1) (x-√(2-x^2 ))/(2x-√(2+2x^2 )) - Techniques
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saxi753
Calculus Help: Find the limits - lim(x→1) (x-√(2-x^2 ))/(2x-√(2+2x^2 )) - Techniques
#Calculus
#Limits
#Functions
#Techniques
87
Calculus Help: Integral ∫ tanx/tan2x dx - Integration by basic trigonometry - Techniques
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saxi753
Here is the technique to solve Integral tanx/tan2x dx - Integration by basic trigonometry - Techniques
#Integral
#Integrations
#Calculus
#Techniques
88
Calculus Help: Integral ∫ cos^2 x dx and ∫ sin^2 x dx - Integration by Trigonometric identities
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saxi753
Here is the technique to solve this question and how to find the question
#Calculus
#Integrals
#Integrations
#Solutions
#TrigonometricSubstitution
89
Calculus Help: Application of Parabola and Integration (Arc Length) - Ballistic Missile - Red Alert
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saxi753
Here is the technique to solve this question related to the parabolic projectile and find the distance of the ballistic missile after reaching the target.
#Calculus
#BallisticMissile
#Missile
#ArcLength
#Techniques
#Solutions
#Formula
90
Calculus Help: Integral of dx/√(1+x^2 ) - Integration by trigonometric substitution
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saxi753
Here is the technique to trigonometric substitution and how to solve it
#Integral
#integration
#Technique
#Calculus
#Formula
#Solution
#Technique
#Answer
91
Calculus Help: Integral ∫ x √(x^2+4) dx - Integration by substitution - 置換積分
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saxi753
Here is the technique to solve this integration and how to find them in step-by-step
#Integral
#Integrations
#Solutions
#Calculus
92
Calculus Help: ∫ x/√(x^2+4) dx - Integration by substitution
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saxi753
Here is the technique to solve this integration and how to find them in step-by-step
#Integral
#Integrations
#Calculus
#Formula
93
Calculus Help: Differential Equations - (6y^3-xy-y)dx+2x dy=0 Bernoulli' s Equation
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saxi753
Here is the technique to solve this differential equations and how to find them in step-by-step
#DifferentialEquations
#IntegratingFactor
#LinearODE
#OrdinaryDifferentialEquations
94
Calculus Help: Reduction Variables - y'=(x+y)/(1-3x-3y) - Techniques - SOLVED!!!
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saxi753
Here is the technique to solve differential equations by Reduction Variables - y'=(x+y)/(1-3x-3y) - Techniques - SOLVED!!!
#DifferentialEquations
#Calculus
#Formula
#Techniques
95
Calculus Help: Separable Differential Equations - y'=y/(x-√x) ,y(4)=e - Techniques
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saxi753
Separable Differential Equations - y'=y/(x-√x) ,y(4)=e - Techniques
Here is the technique to solve this differential equation and how to find them in step-by-step
#Integral
#Integrations
#DifferentialEquations
#Calculus
96
Calculus Help: Integral ∫ √(1-x^2 )/x^4 dx - Integration by trigonometric substitution
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saxi753
Calculus Help: Integral ∫ √(1-x^2 )/x^4 dx - Integration by trigonometric substitution
#Integral
#Integrations
#Substitution
#TrigonometricSubstitution
97
Calculus Help: Find the limits - lim (x→0^+ ) (1/x-1/(e^x-1)) - Techniques - Solutions
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saxi753
Here is the technique to solve this limit and how to find them in step-by-step
#Limits
#Functions
#Calculus
98
Calculus Help: ∫ ∛x/(∛x+1) dx, ∫ 1/(1+√3x) dx - Integration by substitution - Techniques
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saxi753
Here is the technique to solve these 2 integrals and how to find them in step-by-step
#Calculus
#Integrals
#Integrations
#substitution
#integrationbysubstitution
99
Calculus Help: Find the limits - lim (x→4) (x^2-16)/sin(x-4) - Techniques
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saxi753
Here is the technique to solve this limit and how to find them in step-by-step
#Integrals
#Integration
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100
Calculus Help: A Norman window is constructed by adjoining a semicircle to the top of an ordinary
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saxi753
Here is the technique to solve this question and how to find them in step-by-step
#Techniques
#Derivative
#ApplicationOfDerivative
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101
Calculus Help: Find the limits - lim (x→0) (cosx-1)/x^2 - Techniques - SOLVED!!!
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saxi753
Here is the technique to solve the limit and how to find them in step-by-step
#Limits
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#Techniques
102
Calculus Help: Basic Integral ∫ √(3x-10) dx - Integration - Techniques
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saxi753
Here is the technique to solve this integration and how to find them
#Integrals
#Integrations
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Transcript
103
Calculus Help: Integral of lnx/x^2 dx - Integration by parts - Techniques
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saxi753
Here is the technique to solve this question and how to find them in step-by-step
#Integral
#Integrations
#Calculus
#Formula
104
Calculus Help: Integral ∫ x sin(3x) dx - Integration by parts - Techniques - Solutions
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saxi753
Here is the technique to solve this integration by parts and how to find them in step-by-step
#Integrals
#Integrations
#Calculus
#Formula
105
Calculus Help: Integral of ∫ e^ax cos(bx)dx - Integration by parts and techniques
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saxi753
Here is the technique to solve this integral and how to find them in step-by-step
#Integrals #Integrations
#IntegrationByParts
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#Formula
106
Calculus Help: Integral ∫ x^2 cos(2x) dx - Integration by parts - Techniques - SOLVED!!!
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saxi753
Here is the technique to solve the question and how to find by integration by parts
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#Integration
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#IntegrationByParts
107
Calculus Help: Integral ∫ xe^(1/2 x) dx - Integration by parts - Techniques
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saxi753
Here is the technique to solve the question and integration by parts
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108
Calculus Help: Find the limits - lim (x→2) (x^2-2x)/(x^2-x-2) - Techniques - SOLVED!!!
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saxi753
Here is the technique to solve the limit and how to find them in step-by-step
#Limits
#Functions
#Calculus
109
Calculus Help: Find the limit - Techniques - lim(x→0) x^2/(cosx-1)
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saxi753
Here is the technique to solve this limit and how to find them in step-by-step
#Limits
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#Techniques
110
Integral ∫ From 2 to 4 √(ln(9-x) )/(√(ln(9-x) )+√(ln(3+x))) dx - Integration by substitution
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saxi753
Here is the technique to solve this question and how to find them in step-by-step
#Techniques
#Calculus
#Formula
#Substitution
#Integrals
#Integrations
111
Calculus Help: Find the limits - lim (x→0) (1-cosx)/sin2x - Techniques - SOLVED!!!
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saxi753
Here is the technique to solve this limit and how to find them in step-by-step
#Limits
#Functions
#Calculus
112
Find the derivative of inverse trigonometry: y=ln(arccos(sinx) ) - Techniques
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saxi753
Here is the technique to solve this question and how to find them in step-by-step
#Trigonometry
#InverseFunctions
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113
Calculus Help: Integral ∫ cot^3 x csc^4 x dx - Integration with Substitution - trigonometry
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saxi753
Here is the technique to solve this integration and how to find them in step-by-step
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#Integrations
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#Antiderivative
114
Calculus Help: Integral of ∫ cot^5 x dx - Integration by substitution - Trigonometry
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saxi753
Here is the technique to solve this integration and how to find them in step-by-step
#Integral
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115
Calculus Help: Integral ∫ tan^6 x sec^4 x dx - Integration by substitution - Trigonometry
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saxi753
Here is the technique to solve the integration and how to find
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116
Calculus Help: Integral of ∫ tan^6 x dx - Integration by substitution - Trigonometry
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saxi753
Here is the technique to solve this integration and how to find them in step-by-step
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#Formula
117
Calculus Help: Basic Derivative - Introduction: Derivative √(x^2+5)
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saxi753
Here is the technique to solve this question and how to find them in step-by-step
#Derivative
#Calculus
#Introduction
118
Derivative Help: Introduction of Calculus: y = √((9-x^2)/x^2 )
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saxi753
Here is the technique to solve this derivative and how to find them in step-by-step
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#Calculus
#Introduction
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1
comment
119
Polar Coordinates: Evaluate the volume of the cylinder x^2+z^2=9, bounded by the planes
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saxi753
Evaluate the volume of the cylinder x^2+z^2=9,
bounded by the planes x=0, y=0, z=0 and x+2y=2 on first octant
Here is the technique to solve the question related to polar coordinates and how to find them in step-by-step
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#PolarCoordinates
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120
Calculus Help: Integral ∫ sin(2-6x) dx - Basic Integration
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saxi753
Here is the technique to solve this question and how to find them in step-by-step
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121
Introduction to Calculus Find the derivative by definition - Derivative by definition y=2/x^2
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saxi753
Here is the technique to solve and find the derivative by definition
#Derivative
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#Calculus
122
Introduction of Calculus Basic Derivative: y = (x^2+4x+5)/x - Step-by-step - Power
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saxi753
Here is the technique to solve the question related to calculus and how to find them in step-by-step
#Calculus
#Derivative
#Solutions
123
Introduction of Calculus First Derivative of Trigonometry and Inverse Trigonometry
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saxi753
Here is the technique to solve these questions related to Calculus and Derivative
#Derivative
#Calculus
#Solutions
124
Introduction to Calculus: Basic First Derivative - Technique to solve - Step-by-step
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saxi753
Here is the technique to solve these questions about Derivative and how to find them in step-by-step
#Derivative
#Calculus
#Basic
#Techniques
125
Prove inverse trigonometry - sin^(-1) x =tan^(-1) ( x/√(1-x^2 ) or arcsinx = arctan(x/√(1-x^2)
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saxi753
Here is the technique to find the derivative of inverse trigonometry and how to find them in step-by-step
#InveseFunction
#Function
#Techniques
126
Calculus Help: Integral of sin^3 x cosx dx - Integration by substitution
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saxi753
Here is the technique to solve this integration and how to find them in step-by-step
#Integral
#Integration
#Calculus
#Substitution
127
Calculus Help: ∫ √(16-9x^2 ) dx - Integration by trigonometric substitution
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saxi753
Here is the technique to solve this integration and how to find them in step-by-step
#Integral
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128
Integration by Substitution: ∫ (7x+4)^5 dx, ∫ e^x/(2e^x+3)^7 dx, ∫ (x^2+2x)/(x^3+3x^2-4) dx
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saxi753
∫ (7x+4)^5 dx, ∫ e^x/(2e^x+3)^7 dx, ∫ (x^2+2x)/(x^3+3x^2-4) dx
Here is the technique to solve these integrations and how to find them in step-by-step
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#Integrations
#Antiderivative
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#Substitution
#IntegrationBySubstitution
129
Introduction of Integration: Calculus - ∫ (x^2+1/(2x)^3 )dx ∫ (7x^4+8x^3+9^x )dx
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saxi753
∫ (x^2+1/(2x)^3 )dx
∫ (7x^4+8x^3+9^x )dx
∫ (3 csc^2x-5secx tanx) dx
#Calculus
#Integrals
#Integrations
#Introduction
130
lim(x→∞) ln(√x)/x^2, lim(x→0) (x 3^x)/(3^x+1), lim(x→∞) √xe^(-x/2), lim(x→1^+ ) lnx tan(πx/2)
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saxi753
Here is the technique to solve these 4 questions and how to find them in step-by-step
#Techniques
#Integrals
#Limits
#Solutions
131
Calculus Help: Derivative by Limit Definition - f'(-1) with f(x)=4/(3x+5 ), f'(2) f(x)=5x^2-2x-3
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saxi753
Here is the technique to solve this question of Limit by definition
#Limit
#Functions
#Calculus
132
The Hardest High School Math by Trigonometric Substitution in Vietnam - Integral with long series
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saxi753
Here is the technique to solve the integral
Integral ( 1 + tan^2 x)(1 + tan^3 x)...(1 + tan^2020 x) + ... + (1+tanx)(1 + tan^2 x)... (1 + tan^2019 x) / (1 + tanx)(1 + tan^2 x)(1 + tan^3 x) ... (1+tan^2020 x) dx
#Integral
#Integrations
#Calculus
#TheHardestHighSchoolMath
#TrigometricSubstitution
133
Transform the polar equation:r=4cosθ/(cos^2θ+1) into its Cartesian form and identify the curve
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saxi753
Here is the technique to solve the question related to polar coordinates and how to find them in step-by-step
#PolarCoordinates
#Calculus
#CartesianForm
#Solutions
134
Exponential Growth: In a study of an insect population, there were about 118 insects four weeks
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saxi753
In a study of an insect population, there were about 118 insects four weeks after the study began and about 295 insects after two more weeks. Assuming an exponential model, how many insects in the initial population?
#ExponentialGrowth
#LogarithmicFunction
#Calculus
#Insect
135
Calculus Help: Find the limits - lim (x→0) (1-cosx)/sinx - Techniques - SOLVED!!!
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saxi753
Here is the technique to solve this limit without using L'Hospital
#Limits
#Calculus
#Techniques
#Maths
136
Calculus Convergent and Divergent ∑(n=1)^∞ 1/2^n ∑_(n=1)^∞ sinh(n)/cosh(2n) : Ratio, Integral Test
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saxi753
Here is the technique to solve two questions related to the series about convergent or divergent
#Convergent
#Divergent
#Techniques
#Calculus
137
Calculus Help: Divergent and Convergent Test: Root Test: ∑_(n=1) to ∞ n/(ln n )^n
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saxi753
Here is the technique to find convergent or divergent of the function/the series
#Convergent
#Divergent
#Calculus
#RootTest
138
Determine if the equation is exact and if so find the solution: -xy^2-4xy+(-x^2 y-2x^2+3)dy/dx=0
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saxi753
Here is the technique to solve this differential equation and how to find them in step-by-step
#DifferentialEquations
#ExactDifferentialEquations
139
Determine whether the given equation is exact (2y-1/x+cos(3x) dy/dx +y/x^2-4x^3-3ysin(3x)=0
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saxi753
Here is the technique to solve this question related to exact differential equation and how to find them in step-by-step
#DifferentialEquations
#Exact
#ExactDifferentialEquations
140
Calculus Help: Exact Differential Equations: 3y^3 dx+9xy^2 dy=0 - Techniques
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saxi753
Here is the technique to solve this differential equation and how to find them in step-by-step
#DifferentialEquations
#Calculus
#ExactDifferentialEquations
141
Calculus: Differential Equation - y' = y-xy^3 e^(-2x) - Integrating Factor - Bernoulli's Equation
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saxi753
Here is the technique to solve this differential equation and how to find them in step-by-step
#DifferentialEquations
#CalculusHelp
#IntegratingFactor
#Bernoulli
142
Differential Equations: Linear ODE - Integrating Factor - dy/dx- y=11/8 e^(-x/3)
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saxi753
Here is the technique to solve the question about differential equations and how to find them in step-by-step
#Techniques
#IntegratingFactor
#LinearODE
#Calculus
143
Calculus Help: Find the limits - lim (x→0) x cotx - Techniques - SOLVED!!!
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saxi753
Here is the technique to solve this question with basic L'Hospital
#LHospital
#Calculus
#Derivative
#Limits
144
Calculus Help: Find the limits: lim (x→0) (tanx-sinx)/x^3 - Technique to solve
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saxi753
Here is the technique to solve this limit and how to find
#LHospital
#Limit
#Calculus
#Derivative
145
Differential Equations: Transform into exact: 6x(x^2+1)y+4xy^2+((x^2+1)^2+2y(x^2+1)) dy/dx=0
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saxi753
Here is the technique to solve this question and how to find them in step-by-step
#DifferentialEquations
#Calculus
#Exact
#ExactDifferentialEquations
146
Calculus Help: Separable Differential Equations -> dy/dx = -y/x , y(1) = 2
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saxi753
Here is the technique to solve this differential equation and how to find them in step-by-step
#DifferentialEquations
#Calculus
#CalculusHelp
#Techniques
147
Integral: 3 sin(2x) ; 5 sin(3x) cos^3 (3x) ; e^2x/(e^2x+3) ; x√(x+3) ; (x)/∛(x+1) ∫1/(x√(7-x^2 ))

saxi753
Here is the technique to solve these integrations and how to find them in step-by-step
#Integrals
#Integrations
#Calculus
148
Calculus Techniques: Integration ∫ 1 dx/(1+tanx) - Integration by substitution - SOLVED!!
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saxi753
Here is the technique to solve this integration and how to find them
#Integral
#Integration
#Calculus
#Formula
#Techniques
149
Calculus Help: Integrating Factor - Linear ODE: 3(y+1)dx=2xdy
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saxi753
Here is the technique to solve this integration factor and how to solve the linear ODE
#LinearODE
#IntegratingFactor
#DifferentialEquations
150
Calculus Help: For the function f(x)=2√(-4x^6 + 6e^x) find f'(x)
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saxi753
Here is the technique to solve this derivative of the function
#Function
#Derivative
#Techniques
151
Geometry Help: Find the equation of the line passing through (5,2)and perpendicular to the line
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saxi753
Here is the technique to solve this question and how to find them in step-by-step
with derivative and perpendicular
#Perpendicular
#Parallel
#Calculus
152
Calculus Help: f(x)=√(x^2-4) , g(x)=1/√(x^2-1) Find fog and gof .Find domains and composition
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saxi753
Here is the technique to solve the composition and find the domains with ranges in 2 functions
#Domain
#Range
#Composition
#Calculus
153
Calculus Help: Basic Integral - Integral of x^2025 dx - Basic Formula
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saxi753
Here is the technique to solve the basic Integration and how to find them in step-by-step
154
Calculus Help: Eliminate the arbitrary constants: y= C1 e^(3x) + C2 e^(2x) + C3 e^x - Techniques
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saxi753
Here is the basic way to do elimination of the arbitrary constants for differential equations
#DifferentialEquations
#ArbitraryConstants
#Techniques
#Calculus
155
Calculus Help: How to find the graph of function: Asymptotes and y-intercept
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saxi753
Here is the full video to answer the question and how to find the graph of the function
#Graph
#Functions
#Asymptotes
156
Integral Help: ∫ √(1+x^2 )/x dx - Integration by trigonometric substitution - Solutions
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saxi753
Here is the technique to solve this integration and how to find them in step-by-step
#Integral
#Integrations
#Solutions
157
Calculus Help: Integral from 4 to 7 - dx/(x^2-5x+6) - Techniques - Partial Fractions
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saxi753
Here is the technique to solve this question and how to find them in step-by-step
#PartialFractions
#Integrations
#Integrals
#Calculus
158
Integral Help: ∫ Integration from 5 to 10 x^2 lnx dx - Integration by parts - Techniques in Cal
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saxi753
Here is the full video to show how to solve the integration and how to find them in step-by-step
#Integrals
#Integrations
#Parts
#Answered
159
Calculus Help: Integration from 4 to 9 √x/(√x-1) dx - Techniques - Integration by substitution
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saxi753
Here is the full video to solve this question and how to find them in step-by-step
#Integrals
#Integrations
#Solutions
#Calculus
160
Calculus Help: Find the limits lim (x→64) (√x-8)/(∛x-4) - lim(x→6) (2-√(x-2))/(x^2-36)
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saxi753
Here is the technique to solve 3 limits and how to solve them in here:
lim┬(x→64)〖(√x-8)/(∛x-4)〗
lim┬(x→6)〖(2-√(x-2))/(x^2-36)〗
lim┬(x→9)〖(2x^5-162x^3)/(x^5-6x^4-27x^3 )〗
#Calculus
#Techniques
#Solutions
#Answers
161
Calculus Help: Cauchy-Reimann Equations : 1/z - Step-by-step - Derivative of Complex Numbers
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saxi753
Here is the technique to solve this equation and how to find them
#Solving
#ComplexNumbers
#Solutions
#Reimann
#Cauchy
162
Calculus Help: Find the Integral of (2x^2+4x-3)/x^2 dx - Techniques - Solutions
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saxi753
Here is the technique to solve this integration and how to find them in step-by-step
#Techniques
#Solutions
#Answered
163
Calculus Help: Find the limits: lim (x→3) (x^3-27)/(x^2-9) - Technique to solve
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saxi753
Here is the technique to solve this question and how to find them in step-by-step
#Calculus
#Limit
#Solutions
164
Calculus Help: Integral of (x+1)dx/(x^3+x^2-6x) - Integration by partial fractions

saxi753
Here is the technique to solve this integration and how to find them in step-by-step
#Techniques
#Solutions
#Answered
#PartialFractions
165
Calculus Help: Integrals: A solid lies between planes perpendicular to the x-axis at x = 0 and x=9
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saxi753
Full question: A solid lies between planes perpendicular to the x-axis at x = 0 and x=9. The cross sections perpendicular to the x-axis between these planes are squares whose bases run from the parabola y = - 4√x to the parabola y = 4√x. Find the volume of the solid
#CalculusHelp
#CrossSection
#Integral
166
Calculus Help: Integral ∫ x^3/(4x^2+9)^(3/2) dx - Integration by substitution - Techniques

saxi753
Here is the technique to solve this integration and how to find them in step-by-step
#Integral
#Integration
#Solutions
#Answered
#Substitution
167
Integral: ∫ dx/(e^x - 1) and how to solve - Integration - Step-by-step
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saxi753
Here is the technique to solve this integration and how to find them in step-by-step
#Integral
#Integration
#Step-by-step
#Calculus
168
Calculus Help: Triple Integrals - ∫ From 0 to 1 ∫ From 0 to 1 ∫ From 0 to 1 e^(x+y+z) dx dy dz
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saxi753
Here is the technique to solve this question and how to find them in step-by-step
#Techniques
#Integrals
#Integrations
#TripleIntegrals
169
Calculus Help: ∫ x^3 sinx dx - Integration by parts - Techniques - Solutions
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saxi753
Here is the technique to solve this integration and how to find them in here by integration by parts
#Integral
#Integration
#Calculus
#Formula
#Solutions
170
Calculus Help: Apply L'Hospital and How to solve it lim {x→1/2}(tan(3πx))/(sec(πx))
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saxi753
Here is the technique to find this limit and how to solve it
#Limit
#Calculus
#Formula
#Techniques
171
A 6-ft-tall person walks away from a 10-ft lamppost at a constant rate of 3ft/sec. What is rate
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saxi753
Full question:
A 6-ft-tall person walks away from a 10-ft lamppost at a constant rate of 3ft/sec. What is the rate that the tip of the shadow moves away from the pole when the person is 10ft away from the pole?
#Techniques
#Calculus
#Answered
#Solutions
172
Calculus Help: Homogeneous - Differential Equations - ( x-y lny+y lnx) dx+x( lny-lnx )dy=0
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saxi753
Here is the technique to find all solutions about differential equations and how to find it in step-by-step
#DifferentialEquations
#Techniques
#Solutions
#Answered
#Homogeneous
#Techniques
173
Calculus Help: Integral of ∫ arctan(3x)dx - Integration by parts and how to solve

saxi753
Here is the technique to solve this question and how to find them in step-by-step
#Integral
#Integrations
#Solutions
#Answered
174
Calculus Help: sin^2 x dx / sqrt(1-cosx) - sin^2 x dx/ √(1 - cosx) - Integration by substitution

saxi753
Here is the technique to solve this integration and how to find them in step-by-step
#Techniques
#Solutions
#Integrals
#Integration
175
Calculus Help: Integral ∫ (2x^2-x+4)/(x^3+4x) dx - Integration by division - Techniques
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saxi753
Here is the technique to solve this question and how to find them in step-by-step
#Calculus
#Solutions
#Techniques
#Division
#Integrations
176
Calculus Help: Integral ∫ x/√(36-x^2 ) dx - Integration by trigonometric substitution - 三角関数での置換
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saxi753
Here is the technique to solve this question and how to find them in step-by-step
#三角関数での置換
#Techniques
#Solutions
#Answer
#TrigonometricSubstitution
177
Calculus Help: Integral of cos2x sin3x dx - Integration by Trigonometric identities

saxi753
Here is the technique to solve and find the value of the function and how to find the function
#Calculus
#Integral
#Integrations
#Functions
178
Calculus Help: ∫ sin^4 x cos^6 x dx - Integration with trigonometry - Equation - Integrals

saxi753
Here is the technique to solve this integration and how to find them in step-by-step
#Techniques
#Solutions
#Answered
179
Calculus Help: Find the first three non-zero terms of Maclaurin expansion
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saxi753
Here is the technique to find first three non-zero terms of Maclaurin expansion
#MaclaurinExpansion
#MaclaurinSeries
#Series
#Calculus
180
Calculus Help: Differential Equations - dy/dx=(3x+2y)/(3x+2y+2) ,y(-1)=-1 - Reduction Variable
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saxi753
Here is the technique to solve this question and how to find them in step-by-step: Calculus Help: Differential Equations - dy/dx=(3x+2y)/(3x+2y+2) ,y(-1)=-1 - Reduction Variable
#DifferentialEquations
#IntegratingFactor
#Techniques
#Solutions
181
Calculus Help: Differential Equations - dy/dx-tany/(1+x)=(1+x) e^x secy - Techniques

saxi753
Here is the technique to solve this differential equations and how to find them in step-by-step
#DifferentialEquations
#Calculus
#Solutions
182
Calculus Help: Integral of cos^3x/(1-sinx) dx - Integration by substitution - Trigonometry

saxi753
Here is the technique to solve this integration and how to find them in step-by-step
#Techniques
#Calculus
#Solutions
#Substitution
183
Calculus Help: Separable Differential Equation: dy/dx=e^(x-y) - Exponent and Power Equation

saxi753
Here is the technique to solve the question and how to find this separable differential equation
#DiffernetialEquations
#Calculus
#SeparableDifferentialEquations
#Exponent
184
Calculus Help: Integral ∫ sinx √(1+cosx)dx - Integration by substitution - Techniques

saxi753
Here is the technique to solve this integration and how to find them in step-by-step
#Techniques
#Calculus
#Integrations
#Integrals
#Solutions
185
Calculus Help: Differential Equation - Transform into Homogeneous - dy/dx=(x+y+4)/(x-y-6)

saxi753
Here is the technique to solve this question and how to find them in step-by-step
Differential Equation - Transform into Homogeneous - dy/dx=(x+y+4)/(x-y-6)
186
Calculus Help: Differential Equations - (x+1) dy/dx+y=lnx,y(1)=10 - Techniques - Integrating Factor

saxi753
Here is the technique to solve this differential equation and how to find them in step-by-step
(x+1) dy/dx+y=lnx,y(1)=10 - Techniques - Integrating Factor
#IntegratingFactor
#Techniques
#Solutions
187
Calculus Help: Limit with L'Hospital - Lim x approaches to 0 1/x-1/sinx

saxi753
Here is the technique to find the limit of 1/x-1/sinx
#Limit
#LHospital
#Calculus
#Trigonometry
188
Calculus Help: Integral of ∫sin4x cos4x dx (Two ways) - Trigonometry Identities and Substitution

saxi753
Here is the technique to solve this integration and how to solve it
#Integral
#Integration
#Calculus
#Formula
189
Calculus Help: Find the limits: Lim {x approaches 1+ } (1/lnx - 1/(x-1)) - L'Hospital - Derivative
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saxi753
Here is the technique to solve this limit and how to find them.
#Limits
#functions
#Formula
190
Calculus Help: Integral ∫ x^2/√(9-25x^2 ) dx - Integration by trigonometric substitution

saxi753
Here is the technique to solve this question and how to find them in step-by-step
#Techniques
#Calculus
#Integrals
#Integrations
#Solutions
191
Calculus Help: Separable Differential Equation: xdx + ydy = 0

saxi753
Here is the technique to solve this differential equation and how to solve them
#DifferentialEquation
#Calculus
#Formula
192
Calculus Help: Integral dx/(x√(x^2-4)) - Integration by substitution dx/(x sqrt(x^2-4)) Square root

saxi753
Here is the technique to solve integration and how to find them in step-by-step
#Integral
#Integrations
#Solutions
193
Calculus Help: Integral of dx/√(3-2x-x^2 ) - Integration by Trigonometric Substitution

saxi753
Here is a technique to answer the integral of dx/√(3-2x-x^2 )
#Integrals
#integrations
#Formula
#Calculus
194
Calculus Help: Differential Equations - dy/dx=cos(x+y) ,y(0)=π/4 - Reduction variable

saxi753
Here is the technique to solve this question and how to find them in step-by-step
#Techniques
#Solutions
#Answers
#DifferentialEquations
#Equations
195
Calculus Help: Exact Differential Equation: (1+y^2+xy^2 )dx+(x^2 y+y+2xy)dy=0

saxi753
Here is the technique to solve this question related to differential equation and how to find them in here
#Differential
#Equation
#Techniques
196
Calculus Help: Exact - Differential Equations - (3x^2+6xy^2 ) dx+(6x^2 y+4y^3 ) dy=0

saxi753
Here is the technique to solve this question and how to find them in step-by-step
#Techniques
#Limits
#Formula
#Solutions
#Answered
197
Calculus Help: Integral of ∫ cscx cotx dx - Integration by substitution

saxi753
Here is the technique to solve this question and how to find the integral
#Techniques
#Solutions
#Answered
198
Calculus Help: Find the exact length of the curve y=ln(1-x^2 ),0≤x≤1/8 - Arc Length - Integration

saxi753
Here is the technique to solve this question and how to find it in step-by-step:
199
Calculus Help: Differential Equation - y''+9y=0 ,y(0)=1,y' (0)=-2 - Complementary Solutions

saxi753
Here is the technique to solve this question and how to find them in step-by-step
#Calculus
#DifferentialEquations
200
Calculus Help: Find the limits: lim (x→π/2) (1-sinx)/cosx - Without Using L'Hospital

saxi753
Here is the technique to find the limit and how to find it
#Limits
#Techniques
#Solutions
#Answers
In 2004, an art collector paid $72719000 for a particular painting. The same painting sold for
3 months ago
15
In 2004, an art collector paid $72719000 for a particular painting. The same painting sold for $34000 in 1950.
a) Find the exponential growth rate k, three decimal places, and determine the exponential growth function V, for which V(t) is the painting's value, in dollars, t years after 1950
b) Predict the value of the painting in 2026
c) Estimate the rate of change of the painting's value in 2026
d) How long after 1950 will the value of the painting be $4 billion
#ExponentialFunction
#Exponential
#Calculus
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