Let f be a differentiable function with the following values:X0 1f(x)5 8f'(x) 4 11(a) After substitution, which of the following integrals is equivalent to11sin(u) du["6² sin(u) du1³sin(u) du8-fºO-sin(u) duEvaluate the integral. Give an exact answer.(b) After substitution, which of the following integrals is equivalent tooff"F"c(π/2f'(u) duf'(u) du0-1²f'(u) duπ/2f'(u) duEvaluate the integral. Give an exact answer.L'ef'(x).sin(f(x)) dx?π/2sinx.f '(cosx) dx?

Answered: Image /qna-images/answer/86178893-4cb0-42a1-a6f6-6fc05175e731.jpg

Let f be a differentiable function with the following values: X 0 1 f(x) 5 8 f'(x) 4 11 (a) After substitution, which of the following integrals is equivalent to 11 6² O- sin(u) du sin(u) du sin(u) du '8 -6₁² sin(u) du Evaluate the integral. Give an exact answer. (b) After substitution, which of the following integrals is equivalent to of F'(W) (π/2 f'(u) du f'(u) du - [ - √5/²2 f π/2 f'(u) du f'(u) du Evaluate the integral. Give an exact answer. [² F"(x f'(x).sin(f(x)) dx? π/2 sinx-f '(cosx) dx?

Let f be a differentiable function with the following values: X 0 1 f(x) 5 8 f'(x) 4 11 (a) After substitution, which of the following integrals is equivalent to 11 6² O- sin(u) du sin(u) du sin(u) du '8 -6₁² sin(u) du Evaluate the integral. Give an exact answer. (b) After substitution, which of the following integrals is equivalent to of F'(W) (π/2 f'(u) du f'(u) du - [ - √5/²2 f π/2 f'(u) du f'(u) du Evaluate the integral. Give an exact answer. [² F"(x f'(x).sin(f(x)) dx? π/2 sinx-f '(cosx) dx?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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