Premium Only Content
Laboratory Project: Taylor Polynomials: Question 4: Approximating Square Roots
In this video I go over Question 4 of the Laboratory Project: Taylor Polynomials and this time go over an example on approximating a square root function using the quadratic approximation notation from Question 3. The function I approximate is (x + 3)^(1/2) which is also the same function I approximated using linear approximation several years ago. Using the notation from Question 1, using (x – a) and at values near a = 1, I show that the quadratic approximation is better than the linear approximation, again as expected. I graph the function as well as the linear and quadratic approximations, as well as develop a spreadsheet to show that near or far from x = a = 1, the quadratic approximation is more accurate than the linear. This is a very good example to get a firm grip on the quadratic approximation method, which as I will show in later parts of this project, is the basis of higher order approximations known as Taylor Polynomials; so make sure to watch this video!
Video notes and playlist:
- PDF notes: https://1drv.ms/b/s!As32ynv0LoaIh45-at7nZj17TkNC9A
- Excel File: https://1drv.ms/x/s!As32ynv0LoaIh45_mdeGmW3eOH4DKQ
- HIVE notes: https://peakd.com/mathematics/@mes/laboratory-project-taylor-polynomials-question-4-approximating-square-roots
- Laboratory Project playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0GMTZJWnswRe2BYAL-Y2CeB
Related Videos:
Laboratory Project: Taylor Polynomials: Question 3: (x - a) Approximation Form: https://youtu.be/V_u_SHVbTdc
Laboratory Project: Taylor Polynomials: Question 2: Approximation Accuracy: https://youtu.be/MRSs0Qofd_M
Laboratory Project: Taylor Polynomials: Question 1: Quadratic Approximation: https://youtu.be/8bpF3vccvEU
Taylor Polynomials - Introduction and Derivation: http://youtu.be/p2EkXwkbflk
Linear Approximation - Introduction and Examples: http://youtu.be/bXEK8bkWTtM
Differentials Notation in Linear Approximation: http://youtu.be/s0adatWiZg4
Newton's Method of Linear Approximation - Introduction: http://youtu.be/aT4b_5l50RI .
------------------------------------------------------
Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
MES Links: https://mes.fm/links
MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: https://peakd.com/@mes
Email me: contact@mes.fm
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm
Free Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
-
5:42:01
Math Easy Solutions
6 days agoUnedited Hutchison Effect: 5 Hours of Rare 2006 Footage
1673 -
8:50:58
Right Side Broadcasting Network
23 hours ago🎅 LIVE: Tracking Santa on Christmas Eve 2024 NORAD Santa Tracker 🎅
294K41 -
2:48
Steven Crowder
1 day agoCROWDER CLASSICS: What’s This? | Nightmare Before Kwanzaa (Nightmare Before Christmas Parody)
279K12 -
33:49
Quite Frankly
23 hours agoThe Christmas Eve Midnight Telethon
94.4K22 -
2:12:46
Price of Reason
22 hours agoAmber Heard BACKS Blake Lively Lawsuit Against Justin Baldoni! Is Disney CEO Bob Iger in TROUBLE?
51.7K23 -
1:01:17
The StoneZONE with Roger Stone
17 hours agoChristmas Edition: Why the Panama Canal is Part of the America First Agenda | The StoneZONE
122K47 -
18:12:15
LFA TV
1 day agoLFA TV CHRISTMAS EVE REPLAY
138K18 -
13:32
Scammer Payback
18 hours agoChanging the Scammer's Desktop Background to his Location
9.47K3 -
4:21
BIG NEM
20 hours agoNikola Tesla's Secret to Cultivating Creativity & Genius
6.52K1 -
15:03
The Anthony Rogers Show
1 day agoAnthony Rogers - Live at Cusumano's Pizza (Upstairs)
5.16K1