# Laboratory Project: Taylor Polynomials: Question 4: Approximating Square Roots

1

• 41
• 0
• 0.830

• Published on Dec 02, 2020

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!

View video notes on the Hive blockchain: https://peakd.com/mathematics/@mes/laboratory-project-taylor-polynomials-question-4-approximating-square-roots

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 .

SUBSCRIBE via EMAIL: https://mes.fm/subscribe

DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate

Like, Subscribe, Favorite, and Comment Below!

MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: https://peakd.com/@mes
Gab: https://gab.ai/matheasysolutions
Minds: https://minds.com/matheasysolutions
Pinterest: https://pinterest.com/MathEasySolns
Instagram: https://instagram.com/MathEasySolutions
Email me: contact@mes.fm

Free Calculators: https://mes.fm/calculators

BMI Calculator: https://bmicalculator.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

###### Tags :

To comment on this video please connect a HIVE account to your profile: Connect HIVE Account

23:13
2 views a year ago \$
01:09:22
38 views a year ago \$
03:27
0 views 2 years ago \$
02:32:13
63 views 2 years ago \$
09:56
1 views 2 years ago \$

#### More Videos

02:39
1 views 6 months ago \$
05:03:52
0 views 2 years ago \$
05:22
4 views 2 months ago \$
13:45
1 views 4 months ago \$
01:23:58
104 views a year ago \$
05:40
38 views 2 years ago \$
02:08:57
5 views 2 years ago \$
04:40
15 views 2 years ago \$
03:54
0 views a year ago \$
06:48
0 views 8 months ago \$
12:26
21 views a year ago \$
01:53
2 views a year ago \$
12:09
2 views 2 years ago \$
01:09:51
11 views a year ago \$
23:01
7802 views a year ago \$
01:03:07
10 views a year ago \$
13:44
0 views 10 months ago \$
11:26
10 views a year ago \$
32:08
4 views 2 years ago \$
10:42
3 views a year ago \$
19:51
40 views 2 years ago \$
13:48
3 views a year ago \$
09:33
22 views 2 years ago \$
36:19
18 views a year ago \$
02:03
4 views 8 months ago \$