a. Find the sixth Taylor polynomainl centered at 9 for f(x) = sqrt(x) b. Use this polynominal to approximate f(10)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 46E
icon
Related questions
Question

a. Find the sixth Taylor polynomainl centered at 9 for f(x) = sqrt(x)

b. Use this polynominal to approximate f(10)

Expert Solution
Step 1

We first find the first 6 derivatives of f(x)

Calculus homework question answer, step 1, image 1

Then we find them at a=9

Calculus homework question answer, step 1, image 2

 

Step 2

Then we use them in the 6th degree Taylor series

Calculus homework question answer, step 2, image 1

 

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Knowledge Booster
Numerical Differentiation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning