Question 3 All calculations must be in four (4) decimal places. Let f(x)=xcosx-x² sin x Calculate "(3.0) with step size (use radian mode in your calculations) i. by using four-point backward finite difference formula h = 0.5 h =0.1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 70E
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Question 3
All calculations must be in four (4) decimal places.
Let S(x)=xcosx-x' sin x
Calculate "(3.0)
with step size (use radian mode in your calculations)
h = 0.5
i.
by using four-point backward finite difference formula
h=0.1
Given that the exact solution of (x) is ƒ"(x)=(x² - 4) sin x – 5xcosx
Find the absolute error between the exact and approximate solution for each h
in (i).
ii.
i1i.
State the optimal step size.
Transcribed Image Text:Question 3 All calculations must be in four (4) decimal places. Let S(x)=xcosx-x' sin x Calculate "(3.0) with step size (use radian mode in your calculations) h = 0.5 i. by using four-point backward finite difference formula h=0.1 Given that the exact solution of (x) is ƒ"(x)=(x² - 4) sin x – 5xcosx Find the absolute error between the exact and approximate solution for each h in (i). ii. i1i. State the optimal step size.
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