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Calculus Help
saxi753
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1
Calculus Help: Integral ∫ 1/(x^3+x) dx - Integration by trigonometric substitution
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Calculus Help: Integral ∫ 1/(x^3+x) dx - Integration by trigonometric substitution
#Integral
#Integrations
#Calculus
#Techniques
#TrigonometricSubstitution
2
Calculus Help: Integral ∫ dx/(x^2 √(x^2-1)) - Integration by trigonometric substitution
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Calculus Help: Integral ∫ dx/(x^2 √(x^2-1)) - Integration by trigonometric substitution
#Integral
#Integrations
#Trigonometric
#Techniques
3
Calculus Help: Integral of dx/(x^3 √(x^2-1)) - Integration of trigonometric substitution
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Calculus Help: Integral of dx/(x^3 √(x^2-1)) - Integration of trigonometric substitution
#Integral
#Substitution
#Trigonometric
4
Calculus Help: Integral ∫ x^3/√(x^2+100) dx - Integration by trigonometric substitution
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Calculus Help: Integral ∫ x^3/√(x^2+100) dx - Integration by trigonometric substitution
#Integral
#Trigonometric
#Substitution
#Calculus
5
Calculus Help: Integral ∫ dx/(x^2 √(x^2-9)) - Integration by trigonometric substitution
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Calculus Help: Integral ∫ dx/(x^2 √(x^2-9)) - Integration by trigonometric substitution
#Trigonometric
#Substitution
#Integrals
#Calculus
6
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
7
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
8
In 2004, an art collector paid $72719000 for a particular painting. The same painting sold for
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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
9
Calculus Help: Separable Differential Equations - (1+y^2 )dx+(1+x^2 )dy=0
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Calculus Help: Separable Differential Equations - (1+y^2 )dx+(1+x^2 )dy=0
#DifferentialEquations
#Calculus
#Separable
#Techniques
#CalculusHelp
10
Calculus Help: Integral ∫ x sin(x/a)dx - Integration by parts - Techniques
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Here is the technique to solve this integration and how to find them in step-by-step
#Integral
#Integrations
#Parts
#Calculus
11
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
12
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
13
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
14
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
15
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
16
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
17
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
18
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
19
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
20
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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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
21
Piecewise Function: How to graph the function step-by-step? (Basic)
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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
22
Calculus Help: Find the inverse function, range and domain :y=ln((x-1)/(x+1))
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Calculus Help: Find the inverse function, range and domain :y=ln((x-1)/(x+1))
#InverseFunction
#Domain
#Range
23
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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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
24
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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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
25
Calculus Help: Bernoulli's Equations - x^3 y'+x^2 y=2y^(-4/3) - Techniques - SOLVED!!!
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Calculus Help: Bernoulli's Equations - x^3 y'+x^2 y=2y^(-4/3) - Techniques - SOLVED!!!
#Bernoulli
#BernoulliEquation
#DifferentialEquations
26
Calculus Help: Bernoulli's Differential Equations - x^2 y'+2xy=5y^3 - Techniques
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x^2 y'+2xy=5y^3
Bernoulli' s Equation
#BernoulliEquation
#Bernoulli
#DifferentialEquations
#LinearODE
27
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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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
28
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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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
29
Calculus Help: Integral of ∫ dx/√(25-x^2 ) - Integration by trigonometric substitution
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Calculus Help: Integral of ∫ dx/√(25-x^2 ) - Integration by trigonometric substitution
#Integral
#TrigonometricSubstitution
#Calculus
30
y''-4y^'+4y=7sinx-cosx - Complementary Solutions and Particular Solutions - Differential Equations
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y''-4y^'+4y=7sinx-cosx - Complementary Solutions and Particular Solutions - Differential Equations
#DifferentialEquations
#Calculus
#Techniques
#Solutions
#ComplementarySolutions
#ParticularSolutions
Calculus Help: Differential Equations - Linear ODE - y'+x/(x^2+1) y=x - Step-by-step
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Here is the technique to solve this question and how to find them in step-by-step
#Integral
#DifferentialEquations
#Calculus
32
Calculus Help: Differential Equations - Homogeneous - y'=(y+2√xy)/x ,x>0,y(1)=1
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Here is the technique to solve this differential equations and how to find them in step-by-step
#DifferentialEquations
#Calculus
#Formula
#Homogeneous
33
Calculus Help: Find the limits - lim (x→3) (x^3-27)/(x-3) - Techniques - SOLVED!!!
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Calculus Help: Find the limits - lim (x→3) (x^3-27)/(x-3) - Techniques - SOLVED!!!
#Limit
#Functions
#Calculus
34
Calculus Help: Integral: x e^(x^2) dx - Integration by substitution - Techniques - Solutions
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Calculus Help: Integral: x e^(x^2) dx - Integration by substitution - Techniques - Solutions
#Integration
#Calculus
#Substitution
35
Calculus Help: Integral of e^(x^2) - Imaginary Error Function
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Calculus Help: Integral of e^(x^2) - Imaginary Error Function
#Integral
#ImaginaryErrorFunction
#Calculus
36
Calculus Help: Determine the area under the curve y^2=4x and y-2x+4=0 - Application of Integration
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Here is the technique to solve this integration and how to find them in here
#Integral
#Integration
#Calculus
#Formula
#Techniques
#Answers
37
Calculus Help: Integral ∫ From 0 to 1 sinx tanx dx - Basic Trigonometry
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Here is the technique to solve this question and how to find them in step-by-step
#Integral
#Integrations
#Calculus
#Formula
38
Calculus Help: Integral of 1/(x^2 √(9-x^2 )) dx - Integration by Trigonometric Substitution
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Calculus Help: Integral of 1/(x^2 √(9-x^2 )) dx - Integration by Trigonometric Substitution
#Integration
#Integrals
#Trigonometric
#Substitution
#Calculus
39
Calculus Help: ∫_0^1 arcsinx dx Integration by parts and substitution
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Here is the technique to solve this integration and how to find it
∫_0^1▒arcsinx dx
Integration by parts
#Integral
#Integrations
#Calculus
#Substitution
40
Calculus Help: Integral ∫ 0^2 x√(3x^2+5) dx - Integration by substitution
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Here is the technique to solve this question and how to find them in step-by-step
#Calculus
#Integral
#Integrations
41
Calculus Help: Find the limits - lim(x→2) (4-2x)/(4-x^2 ) - Techniques - SOLVED!!
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Calculus Help: Find the limits - lim(x→2) (4-2x)/(4-x^2 ) - Techniques - SOLVED!!
#Limits
#CalculusHelp
42
Complementary and Particular: y''-4y'+4y=2+8x-4x^2- Undetermined Coefficients -Differential Equation
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Complementary and Particular: y''-4y'+4y=2+8x-4x^2- Undetermined Coefficients -Differential Equation
#DifferentialEquations
#ComplementarySolutions
#UndeterminedCoefficients
43
Calculus: Complementary and Particular Solutions: y'' - y' - 2y = e^(3x) - Differential Equations
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Calculus: Complementary and Particular Solutions: y'' - y' - 2y = e^(3x) - Differential Equations
#DifferentialEquations
#ComplementaryAndParticularSolutions
#UndeterminedCoefficients
44
Undetermined Coefficients: Differential Equations -y''+9y=2cos2x- Complementary/Particular Solutions
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Undetermined Coefficients: Differential Equations -y''+9y=2cos2x- Complementary/Particular Solutions
#DifferentialEquations
#UndeterminedCoefficients
#CalculusHelp
45
Calculus Help: Find the arc length y=4/3 x^(3/2) on the interval [0,1]
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Here is the technique to solve the question and find the arc length
#ArcLength
#Calculus
#Formula
46
Calculus Help: Find the area between the curve y=x^2 and y=-x^2 + 18x
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Calculus Help: Find the area between the curve y=x^2 and y=-x^2 + 18x
#Calculus
#Integral
#Integrations
#Area
47
Calculus Help: ∫ 1/√(1+9x^2 ) dx - Integration by trigonometric substitution - Step-by-step
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Here is the technique to solve this integration and how to find them in step-by-step
#Integral
#Integration
#Calculus
#Formula
48
Calculus Help: Integral of x^2 sinx dx - Integration by parts by using the table
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Calculus Help: Integral of x^2 sinx dx - Integration by parts by using the table
#Integral
#Integrations
#Calculus
#Parts
#IntegrationByParts
49
Calculus Help: The cost function, in dollars, of a company that manufactures food
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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
50
Calculus Help: Use cylindrical shells to find the volume of the solid generated when: y=x^2 1 to 6
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Calculus Help: Use cylindrical shells to find the volume of the solid generated when: y=x^2 1 to 6
#Integral
#Integrations
#Calculus
#Techniques
51
Calculus Help: Find the limits - lim (x→0)(1/tanx-1/sinx) - Techniques - SOLVED!!
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Calculus Help: Find the limits - lim (x→0)(1/tanx-1/sinx) - Techniques - SOLVED!!
#Limits
#Functions
#Calculus
#Techniques
52
Vietnam High School Math Grade 12: Elon Musk had developed the rockets that could allow to return
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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
53
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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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
54
Find the approximation of c such that ∫ from c to x f(t) dt = x^3 + 3x^2 + 2x - 3
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#Integral
#Integrations
#Antiderivative
55
Calculus Help: ∫ dx/(x^2 √(a^2-x^2 )) - Integration by trigonometric substitution
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Calculus Help: ∫ dx/(x^2 √(a^2-x^2 )) - Integration by trigonometric substitution
#CalculusHelp
#Integrals
#Integrations
#TrigonometricSubstitution
#Substitution
56
Calculus Help The upper right-hand corner of a piece of paper, 30 centimeters by 20 centimeters fold
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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
57
Calculus Help: Find the limits - lim(x→1) (x-√(2-x^2 ))/(2x-√(2+2x^2 )) - Techniques
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Calculus Help: Find the limits - lim(x→1) (x-√(2-x^2 ))/(2x-√(2+2x^2 )) - Techniques
#Calculus
#Limits
#Functions
#Techniques
58
Calculus Help: Integral ∫ tanx/tan2x dx - Integration by basic trigonometry - Techniques
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Here is the technique to solve Integral tanx/tan2x dx - Integration by basic trigonometry - Techniques
#Integral
#Integrations
#Calculus
#Techniques
59
Calculus Help: Integral ∫ cos^2 x dx and ∫ sin^2 x dx - Integration by Trigonometric identities
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Here is the technique to solve this question and how to find the question
#Calculus
#Integrals
#Integrations
#Solutions
#TrigonometricSubstitution
60
Calculus Help: Application of Parabola and Integration (Arc Length) - Ballistic Missile - Red Alert
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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
61
Calculus Help: Integral of dx/√(1+x^2 ) - Integration by trigonometric substitution
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Here is the technique to trigonometric substitution and how to solve it
#Integral
#integration
#Technique
#Calculus
#Formula
#Solution
#Technique
#Answer
62
Calculus Help: Integral ∫ x √(x^2+4) dx - Integration by substitution - 置換積分
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Here is the technique to solve this integration and how to find them in step-by-step
#Integral
#Integrations
#Solutions
#Calculus
63
Calculus Help: ∫ x/√(x^2+4) dx - Integration by substitution
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Here is the technique to solve this integration and how to find them in step-by-step
#Integral
#Integrations
#Calculus
#Formula
64
Calculus Help: Differential Equations - (6y^3-xy-y)dx+2x dy=0 Bernoulli' s Equation
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Here is the technique to solve this differential equations and how to find them in step-by-step
#DifferentialEquations
#IntegratingFactor
#LinearODE
#OrdinaryDifferentialEquations
65
Calculus Help: Reduction Variables - y'=(x+y)/(1-3x-3y) - Techniques - SOLVED!!!
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Here is the technique to solve differential equations by Reduction Variables - y'=(x+y)/(1-3x-3y) - Techniques - SOLVED!!!
#DifferentialEquations
#Calculus
#Formula
#Techniques
66
Calculus Help: Separable Differential Equations - y'=y/(x-√x) ,y(4)=e - Techniques
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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
67
Calculus Help: Integral ∫ √(1-x^2 )/x^4 dx - Integration by trigonometric substitution
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Calculus Help: Integral ∫ √(1-x^2 )/x^4 dx - Integration by trigonometric substitution
#Integral
#Integrations
#Substitution
#TrigonometricSubstitution
68
Calculus Help: Find the limits - lim (x→0^+ ) (1/x-1/(e^x-1)) - Techniques - Solutions
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Here is the technique to solve this limit and how to find them in step-by-step
#Limits
#Functions
#Calculus
69
Calculus Help: ∫ ∛x/(∛x+1) dx, ∫ 1/(1+√3x) dx - Integration by substitution - Techniques
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Here is the technique to solve these 2 integrals and how to find them in step-by-step
#Calculus
#Integrals
#Integrations
#substitution
#integrationbysubstitution
70
Calculus Help: Find the limits - lim (x→4) (x^2-16)/sin(x-4) - Techniques
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Here is the technique to solve this limit and how to find them in step-by-step
#Integrals
#Integration
#Limits
#Calculus
71
Calculus Help: A Norman window is constructed by adjoining a semicircle to the top of an ordinary
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Here is the technique to solve this question and how to find them in step-by-step
#Techniques
#Derivative
#ApplicationOfDerivative
#Calculus
72
Calculus Help: Find the limits - lim (x→0) (cosx-1)/x^2 - Techniques - SOLVED!!!
saxi753
Here is the technique to solve the limit and how to find them in step-by-step
#Limits
#Calculus
#Formula
#Techniques
73
Calculus Help: Basic Integral ∫ √(3x-10) dx - Integration - Techniques
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Here is the technique to solve this integration and how to find them
#Integrals
#Integrations
#Calculus
#Basic
Transcript
74
Calculus Help: Integral of lnx/x^2 dx - Integration by parts - Techniques
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Here is the technique to solve this question and how to find them in step-by-step
#Integral
#Integrations
#Calculus
#Formula
75
Calculus Help: Integral ∫ x sin(3x) dx - Integration by parts - Techniques - Solutions
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Here is the technique to solve this integration by parts and how to find them in step-by-step
#Integrals
#Integrations
#Calculus
#Formula
76
Calculus Help: Integral of ∫ e^ax cos(bx)dx - Integration by parts and techniques
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Here is the technique to solve this integral and how to find them in step-by-step
#Integrals #Integrations
#IntegrationByParts
#Calculus
#Formula
77
Calculus Help: Integral ∫ x^2 cos(2x) dx - Integration by parts - Techniques - SOLVED!!!
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Here is the technique to solve the question and how to find by integration by parts
#Integrals
#Integration
#Calculus
#Formula
#Techniques
#IntegrationByParts
78
Calculus Help: Integral ∫ xe^(1/2 x) dx - Integration by parts - Techniques
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Here is the technique to solve the question and integration by parts
#IntegrationByParts
#Techniques
#Solutions
#Calculus
#Integrals
#Integrations
79
Calculus Help: Find the limits - lim (x→2) (x^2-2x)/(x^2-x-2) - Techniques - SOLVED!!!
saxi753
Here is the technique to solve the limit and how to find them in step-by-step
#Limits
#Functions
#Calculus
80
Calculus Help: Find the limit - Techniques - lim(x→0) x^2/(cosx-1)
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Here is the technique to solve this limit and how to find them in step-by-step
#Limits
#CalculusHelp
#Techniques
81
Integral ∫ From 2 to 4 √(ln(9-x) )/(√(ln(9-x) )+√(ln(3+x))) dx - Integration by substitution
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Here is the technique to solve this question and how to find them in step-by-step
#Techniques
#Calculus
#Formula
#Substitution
#Integrals
#Integrations
82
Calculus Help: Find the limits - lim (x→0) (1-cosx)/sin2x - Techniques - SOLVED!!!
saxi753
Here is the technique to solve this limit and how to find them in step-by-step
#Limits
#Functions
#Calculus
83
Find the derivative of inverse trigonometry: y=ln(arccos(sinx) ) - Techniques
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Here is the technique to solve this question and how to find them in step-by-step
#Trigonometry
#InverseFunctions
#InverseTrigonometry
#Calculus
#Derivative
84
Calculus Help: Integral ∫ cot^3 x csc^4 x dx - Integration with Substitution - trigonometry
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Here is the technique to solve this integration and how to find them in step-by-step
#Integral
#Integrations
#Calculus
#Trigonometry
#Antiderivative
85
Calculus Help: Integral of ∫ cot^5 x dx - Integration by substitution - Trigonometry
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Here is the technique to solve this integration and how to find them in step-by-step
#Integral
#Integrations
#Calculus
#Formula
#Solutions
86
Calculus Help: Integral ∫ tan^6 x sec^4 x dx - Integration by substitution - Trigonometry
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Here is the technique to solve the integration and how to find
#Integral
#Antiderivative
#Integrations
#Calculus
#Trigonometry
87
Calculus Help: Integral of ∫ tan^6 x dx - Integration by substitution - Trigonometry
saxi753
Here is the technique to solve this integration and how to find them in step-by-step
#Integral
#Integrations
#Calculus
#Formula
88
Calculus Help: Basic Derivative - Introduction: Derivative √(x^2+5)
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Here is the technique to solve this question and how to find them in step-by-step
#Derivative
#Calculus
#Introduction
89
Derivative Help: Introduction of Calculus: y = √((9-x^2)/x^2 )
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Here is the technique to solve this derivative and how to find them in step-by-step
#Derivative
#Calculus
#Introduction
#Solutions
1
comment
90
Polar Coordinates: Evaluate the volume of the cylinder x^2+z^2=9, bounded by the planes
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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
#Calculus
#Techniques
#PolarCoordinates
#TripleIntegrals
91
Calculus Help: Integral ∫ sin(2-6x) dx - Basic Integration
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Here is the technique to solve this question and how to find them in step-by-step
#Integral
#Integrations
#Solutions
#Answered
92
Introduction to Calculus Find the derivative by definition - Derivative by definition y=2/x^2
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Here is the technique to solve and find the derivative by definition
#Derivative
#Techniques
#Solutions
#Calculus
93
Introduction of Calculus Basic Derivative: y = (x^2+4x+5)/x - Step-by-step - Power
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Here is the technique to solve the question related to calculus and how to find them in step-by-step
#Calculus
#Derivative
#Solutions
94
Introduction of Calculus First Derivative of Trigonometry and Inverse Trigonometry
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#Derivative
#Calculus
#Solutions
95
Introduction to Calculus: Basic First Derivative - Technique to solve - Step-by-step
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#Derivative
#Calculus
#Basic
#Techniques
96
Prove inverse trigonometry - sin^(-1) x =tan^(-1) ( x/√(1-x^2 ) or arcsinx = arctan(x/√(1-x^2)
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Here is the technique to find the derivative of inverse trigonometry and how to find them in step-by-step
#InveseFunction
#Function
#Techniques
97
Calculus Help: Integral of sin^3 x cosx dx - Integration by substitution
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Here is the technique to solve this integration and how to find them in step-by-step
#Integral
#Integration
#Calculus
#Substitution
98
Calculus Help: ∫ √(16-9x^2 ) dx - Integration by trigonometric substitution
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Here is the technique to solve this integration and how to find them in step-by-step
#Integral
#Integrations
#Calculus
#Formula
#TrigonometricSubstitution
99
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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∫ (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
#Integrals
#Integrations
#Antiderivative
#Solutions
#Substitution
#IntegrationBySubstitution
100
Introduction of Integration: Calculus - ∫ (x^2+1/(2x)^3 )dx ∫ (7x^4+8x^3+9^x )dx
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∫ (x^2+1/(2x)^3 )dx
∫ (7x^4+8x^3+9^x )dx
∫ (3 csc^2x-5secx tanx) dx
#Calculus
#Integrals
#Integrations
#Introduction
101
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)
saxi753
Here is the technique to solve these 4 questions and how to find them in step-by-step
#Techniques
#Integrals
#Limits
#Solutions
102
Calculus Help: Derivative by Limit Definition - f'(-1) with f(x)=4/(3x+5 ), f'(2) f(x)=5x^2-2x-3
saxi753
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#Limit
#Functions
#Calculus
103
The Hardest High School Math by Trigonometric Substitution in Vietnam - Integral with long series
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
104
Transform the polar equation:r=4cosθ/(cos^2θ+1) into its Cartesian form and identify the curve
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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
105
Exponential Growth: In a study of an insect population, there were about 118 insects four weeks
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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
106
Calculus Help: Find the limits - lim (x→0) (1-cosx)/sinx - Techniques - SOLVED!!!
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Here is the technique to solve this limit without using L'Hospital
#Limits
#Calculus
#Techniques
#Maths
107
Calculus Convergent and Divergent ∑(n=1)^∞ 1/2^n ∑_(n=1)^∞ sinh(n)/cosh(2n) : Ratio, Integral Test
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Here is the technique to solve two questions related to the series about convergent or divergent
#Convergent
#Divergent
#Techniques
#Calculus
108
Calculus Help: Divergent and Convergent Test: Root Test: ∑_(n=1) to ∞ n/(ln n )^n
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Here is the technique to find convergent or divergent of the function/the series
#Convergent
#Divergent
#Calculus
#RootTest
109
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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Here is the technique to solve this differential equation and how to find them in step-by-step
#DifferentialEquations
#ExactDifferentialEquations
110
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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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
111
Calculus Help: Exact Differential Equations: 3y^3 dx+9xy^2 dy=0 - Techniques
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Here is the technique to solve this differential equation and how to find them in step-by-step
#DifferentialEquations
#Calculus
#ExactDifferentialEquations
112
Calculus: Differential Equation - y' = y-xy^3 e^(-2x) - Integrating Factor - Bernoulli's Equation
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Here is the technique to solve this differential equation and how to find them in step-by-step
#DifferentialEquations
#CalculusHelp
#IntegratingFactor
#Bernoulli
113
Differential Equations: Linear ODE - Integrating Factor - dy/dx- y=11/8 e^(-x/3)
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Here is the technique to solve the question about differential equations and how to find them in step-by-step
#Techniques
#IntegratingFactor
#LinearODE
#Calculus
114
Calculus Help: Find the limits - lim (x→0) x cotx - Techniques - SOLVED!!!
saxi753
Here is the technique to solve this question with basic L'Hospital
#LHospital
#Calculus
#Derivative
#Limits
115
Calculus Help: Find the limits: lim (x→0) (tanx-sinx)/x^3 - Technique to solve
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#LHospital
#Limit
#Calculus
#Derivative
116
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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Here is the technique to solve this question and how to find them in step-by-step
#DifferentialEquations
#Calculus
#Exact
#ExactDifferentialEquations
117
Calculus Help: Separable Differential Equations -> dy/dx = -y/x , y(1) = 2
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#DifferentialEquations
#Calculus
#CalculusHelp
#Techniques
118
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
119
Calculus Techniques: Integration ∫ 1 dx/(1+tanx) - Integration by substitution - SOLVED!!
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Here is the technique to solve this integration and how to find them
#Integral
#Integration
#Calculus
#Formula
#Techniques
120
Calculus Help: Integrating Factor - Linear ODE: 3(y+1)dx=2xdy
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Here is the technique to solve this integration factor and how to solve the linear ODE
#LinearODE
#IntegratingFactor
#DifferentialEquations
121
Calculus Help: For the function f(x)=2√(-4x^6 + 6e^x) find f'(x)
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#Function
#Derivative
#Techniques
122
Geometry Help: Find the equation of the line passing through (5,2)and perpendicular to the line
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Here is the technique to solve this question and how to find them in step-by-step
with derivative and perpendicular
#Perpendicular
#Parallel
#Calculus
123
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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Here is the technique to solve the composition and find the domains with ranges in 2 functions
#Domain
#Range
#Composition
#Calculus
124
Calculus Help: Basic Integral - Integral of x^2025 dx - Basic Formula
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Here is the technique to solve the basic Integration and how to find them in step-by-step
125
Calculus Help: Eliminate the arbitrary constants: y= C1 e^(3x) + C2 e^(2x) + C3 e^x - Techniques
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Here is the basic way to do elimination of the arbitrary constants for differential equations
#DifferentialEquations
#ArbitraryConstants
#Techniques
#Calculus
126
Calculus Help: How to find the graph of function: Asymptotes and y-intercept
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#Graph
#Functions
#Asymptotes
127
Integral Help: ∫ √(1+x^2 )/x dx - Integration by trigonometric substitution - Solutions
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Here is the technique to solve this integration and how to find them in step-by-step
#Integral
#Integrations
#Solutions
128
Calculus Help: Integral from 4 to 7 - dx/(x^2-5x+6) - Techniques - Partial Fractions
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#PartialFractions
#Integrations
#Integrals
#Calculus
129
Integral Help: ∫ Integration from 5 to 10 x^2 lnx dx - Integration by parts - Techniques in Cal
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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
130
Calculus Help: Integration from 4 to 9 √x/(√x-1) dx - Techniques - Integration by substitution
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Here is the full video to solve this question and how to find them in step-by-step
#Integrals
#Integrations
#Solutions
#Calculus
131
Calculus Help: Find the limits lim (x→64) (√x-8)/(∛x-4) - lim(x→6) (2-√(x-2))/(x^2-36)
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
132
Calculus Help: Cauchy-Reimann Equations : 1/z - Step-by-step - Derivative of Complex Numbers
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Here is the technique to solve this equation and how to find them
#Solving
#ComplexNumbers
#Solutions
#Reimann
#Cauchy
133
Calculus Help: Find the Integral of (2x^2+4x-3)/x^2 dx - Techniques - Solutions
saxi753
Here is the technique to solve this integration and how to find them in step-by-step
#Techniques
#Solutions
#Answered
134
Calculus Help: Find the limits: lim (x→3) (x^3-27)/(x^2-9) - Technique to solve
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Here is the technique to solve this question and how to find them in step-by-step
#Calculus
#Limit
#Solutions
135
Calculus Help: Integral of (x+1)dx/(x^3+x^2-6x) - Integration by partial fractions
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Here is the technique to solve this integration and how to find them in step-by-step
#Techniques
#Solutions
#Answered
#PartialFractions
136
Calculus Help: Integrals: A solid lies between planes perpendicular to the x-axis at x = 0 and x=9
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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
137
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
138
Integral: ∫ dx/(e^x - 1) and how to solve - Integration - Step-by-step
saxi753
Here is the technique to solve this integration and how to find them in step-by-step
#Integral
#Integration
#Step-by-step
#Calculus
139
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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Here is the technique to solve this question and how to find them in step-by-step
#Techniques
#Integrals
#Integrations
#TripleIntegrals
140
Calculus Help: ∫ x^3 sinx dx - Integration by parts - Techniques - Solutions
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
141
Calculus Help: Apply L'Hospital and How to solve it lim {x→1/2}(tan(3πx))/(sec(πx))
saxi753
Here is the technique to find this limit and how to solve it
#Limit
#Calculus
#Formula
#Techniques
142
A 6-ft-tall person walks away from a 10-ft lamppost at a constant rate of 3ft/sec. What is rate
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
143
Calculus Help: Homogeneous - Differential Equations - ( x-y lny+y lnx) dx+x( lny-lnx )dy=0
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
144
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
145
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
146
Calculus Help: Integral ∫ (2x^2-x+4)/(x^3+4x) dx - Integration by division - Techniques
saxi753
Here is the technique to solve this question and how to find them in step-by-step
#Calculus
#Solutions
#Techniques
#Division
#Integrations
147
Calculus Help: Integral ∫ x/√(36-x^2 ) dx - Integration by trigonometric substitution - 三角関数での置換
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
148
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
149
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
150
Calculus Help: Find the first three non-zero terms of Maclaurin expansion
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Here is the technique to find first three non-zero terms of Maclaurin expansion
#MaclaurinExpansion
#MaclaurinSeries
#Series
#Calculus
151
Calculus Help: Differential Equations - dy/dx=(3x+2y)/(3x+2y+2) ,y(-1)=-1 - Reduction Variable
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
152
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
153
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
154
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
155
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
156
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)
157
Calculus Help: Differential Equations - (x+1) dy/dx+y=lnx,y(1)=10 - Techniques - Integrating Factor
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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
158
Calculus Help: Limit with L'Hospital - Lim x approaches to 0 1/x-1/sinx
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Here is the technique to find the limit of 1/x-1/sinx
#Limit
#LHospital
#Calculus
#Trigonometry
159
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
160
Calculus Help: Find the limits: Lim {x approaches 1+ } (1/lnx - 1/(x-1)) - L'Hospital - Derivative
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Here is the technique to solve this limit and how to find them.
#Limits
#functions
#Formula
161
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
162
Calculus Help: Separable Differential Equation: xdx + ydy = 0
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Here is the technique to solve this differential equation and how to solve them
#DifferentialEquation
#Calculus
#Formula
163
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
164
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
165
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
166
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
167
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
168
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
169
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:
170
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
171
Calculus Help: Find the limits: lim (x→π/2) (1-sinx)/cosx - Without Using L'Hospital
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Here is the technique to find the limit and how to find it
#Limits
#Techniques
#Solutions
#Answers
172
Calculus: The graphs of f and g are given: (a) State the value of f(-4) and g(3), b) Domain Range
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Here is the technique to evaluate and find the value of the function
#Calculus
#Functions
#Techniques
#Solutions
173
Calculus Help: Homogeneous - Differential Equations - xy dx-(x^2+3y^2 ) dy=0 - Techniques
saxi753
Here is the technique to solve this question and how to find them in step-by-step for xy dx-(x^2+3y^2 ) dy=0 - Techniques
#Techniques
#Solutions
#DifferentialEquations
174
Calculus Help: Advance Derivative for Complex Function and Equation
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Here are my techniques on how to solve the derivative in hard equation
#Equation
#Function
#Complex
#Calculus
175
Calculus Help: Find the center, transverse and conjugate axis, the vertices, the foci, and asymtotes
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Here is the basic way to find the center, transverse and conjugate axis, the vertices, the foci, and asymtotes
176
Calculus Help: Integration x^3 ( 2+x^4)^5 dx , (x+1) √(2x+x^2) dx, 1/(1-6x)^4 dx
saxi753
Here is the technique to solve all 3 integrations and how to find them in step-by-step
Integration x^3 ( 2+x^4)^5 dx , (x+1) √(2x+x^2) dx, 1/(1-6x)^4 dx
177
Calculus Help: Integral ∫ x^2 cos2x dx - Integration by parts - Techniques - Solutions
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Here is the technique to solve about the integrals and how to find them in step-by-step ∫ x^2 cos2x dx
178
Calculus Help: Integral of sin^4 3x cos^2 3x dx - Integration by trigonometric identitity
saxi753
Here is the technique to solve this integral and how to find them in step-by-step: Integral of sin^4 3x cos^2 3x dx
179
A rectangular storage container without a lid is to have a volume of 10 m^3 . The length of its base
saxi753
A rectangular storage container without a lid is to have a volume of 10 m^3 . The length of its base is twice the width. Material for the base costs $10 per square meter. Material for the sides costs $6 per square meter. Find the cost of materials for the least expensive such container.
#Derivative
#Solutions
180
Calculus Help: Volume bounded by y=1+secx and y=3 revolve about y=1
saxi753
Here is the technique to find this integration and how to solve about that
#Integral
#Integration
#Calculus
#Formula
181
Calculus Help: Double Integrals: e^(x+y) dydx - Basic Integration
saxi753
Here is the technique to solve this double integral and how to find them in step-by-step
182
Calculus Help: Integral of (x-4)/(x^2-5x+6) dx - Integration by partial Fractions
saxi753
Here is the technique to solve this integration and how to solve about that
#Integral
#Integration
#PartialFractions
#Fractions
183
Double Integrals: Find ∫∫R y/x dA,where R is the region in the first quadrant x^2+y^2=1 ; x^2+y^2=4
saxi753
Here is the technique to find this double integrals by polar coordinates:
Full question: Find ∫∫R y/x dA , where R is the region in the first quadrant lying between the circles x^2+y^2=1 and x^2+y^2=4 and between the lines y=0 and y=x
#Calculus
#DoubleIntegrals
#Intgerations
184
Calculus Help: Separable Differential Equations: sinx siny dx+cosx cosy dy=0 - Integration
saxi753
Here is the technique to solve this question and how to find them in step-by-step with Differential Equations
#Calculus
#Integrals
#Integration
185
Calculus Help: Homogeneous Differential Equation - dy/dx=(2xy+3y^2)/(x^2+2xy) - Techniques
saxi753
Here is the technique to solve this question Homogeneous Differential Equation - dy/dx=(2xy+3y^2)/(x^2+2xy)
#Homogeneous
#DifferentialEquations
#Solutions
186
Calculus Help: Integral of csc^4 x dx - Integration by trigonometric functions
saxi753
Here is the technique to solve this integration and how to find them in step-by-step
#Techniques
#Solutions
#Answered
#Integrals
187
Calculus Help: Integral of sin2x cos4x dx - Integration by trigonometric substitution
saxi753
Here is the technique to solve this question and how to find them in step-by-step
#Trigonometry
#Trigonometric
#Techniques
#Calculus
188
Calculus Help: Exact - Differential Equation - dy/dx=(xy^2-cosx sinx)/(y(1-x^2)),y(0)=2
saxi753
Here is the technique to solve this question and how to find them in step-by-step
#Techniques
#DifferentialEquations
#Answers
#Formula
#calculus
189
Calculus Help: RCQ Philippines: Find the angles between 2 vectors
saxi753
Here is the technique to solve this angle and how to solve it
#Angles
#Cosine
#Technqiues
190
Calculus Help: Integral ∫ (x^2+2x-1)/(2x^3+3x^2-2x) dx - Integration by partial fractions Technique
saxi753
Here is the technique to find the integral and how to solve them in here.
Calculus Help: Integral ∫ (x^2+2x-1)/(2x^3+3x^2-2x) dx - Integration by partial fractions Technique
191
Differential Equation - Laplace Transformation: d^2 y/dx^2 +2dy/dx+2y=5sinx ,y(0)=0 ,dy/dx=0 at x=0
saxi753
Here is the technique to solve the question related to Laplace Transformation and how to find it
192
Calculus Help: Find the sum of the series ∑_(n=2) to ∞ ln(1-1/n^2 ) - Techniques
saxi753
Here is the technique to find the series and how to find them in step-by-step
#Series #Techniques
#Calculus
#Solutions
193
Calculus Help: Integral of dx/(a^2+x^2 )^(3/2) - Integration by trigonometric substitution
saxi753
Here is the technique to answer this integration by trigonometry
#Trigonometric
#Trigonometry
#Calculus
#Formula
#Solution
194
Calculus Help: Exact Differential Equations - (r + sinθ - cosθ) dr + r(sinθ+cosθ) dθ = 0
saxi753
Here is the technique to solve this equation related to differential equations and how to find them in step-by-step
195
Calculus Help:Integral of arcsin(4x)dx -Inverse Trigonometry and Integration by parts/ substitution
saxi753
Here is the technique to solve this integral and how to find them in step-by-step
196
Calculus Help: Exact Differential Equation - (2xy-y)dx+(x^2+x)dy=0 - Transform into exact equation
saxi753
Here is the technique to find the exact differential equation and how to find them in step-by-step
197
Calculus Help: Integral of dx/(x√(4x^2-9)) - How to solve this one?
saxi753
Here is the technique to solve the question and how to find them in step-by-step for this integration
198
Calculus Help: Integral ∫ x e^( ax ) dx - Integration by parts - 部分積分
saxi753
Here is the technique to solve this question and how to find them in step-by-step
199
Suppose that f(1)=2,f(4)=7,f′(1)=5,f′(4)=3 and f′′ is continuous. Find the value of ∫xf′′(x)dx
saxi753
Here is the technique to solve the function and how to find them in step-by-step.
200
Calculus Help: Differential Equation: x dy/dx+2y=x^3
saxi753
Here is the technique to solve this question and how to find it. Calculus Help: Differential Equation: x dy/dx+2y=x^3
Calculus Help: Differential Equations - Linear ODE - y'+x/(x^2+1) y=x - Step-by-step
21 days ago
23
Here is the technique to solve this question and how to find them in step-by-step
#Integral
#DifferentialEquations
#Calculus
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