Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

3. (a) Find the 5th order Taylor polynomial about a = 7r for sin 2:. 1_11r - (b) Use this Taylor polynomial to approximate sin

image text in transcribed
3. (a) Find the 5th order Taylor polynomial about a = 7r for sin 2:. 1_11r - (b) Use this Taylor polynomial to approximate sin 12 1n terms of powers of 112 (c) The remainder term for a polynomial of order n expanded about gr = a is (IE _ a)'n+1 RM 2 f (71%) (71+ 1)! where 6 lies between a and .161 Write down the remainder term for the polynomial that you have found in part (a). (d) Use the remainder term that you have found in part (c ) to show that theTaylor polynomial approximation to sin 111\" that you found 1n part (b) is within 106 of the actual value of 5111117r Use your 2calculator to verify that the difference between 12 sin 11\" and your approximation is indeed less than 10 6

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Probability Theory A Concise Course

Authors: Y A Rozanov

1st Edition

0486321142, 9780486321141

More Books

Students also viewed these Mathematics questions

Question

4 What is specific in constructivist approach to group coaching?

Answered: 1 week ago

Question

8. How can an interpreter influence the message?

Answered: 1 week ago