Answered: 4. (a) Compute Sc₁(0) dz. (b) Use your…

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4. (a) Compute Sc₁(0) dz. (b) Use your answer in (a) to show that ecost cos(sint)dt = π.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.5: Applications

Problem 17EQ

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Question

For 4b, the integral should be from p to 2pi NOT from 0 to pi. Also, in 4b, we need to prove that the integral is equal to 2pi instead of proving it is equal to pi.

4. (a) Compute
Sc₁(0) dz.
(b) Use your answer in (a) to show that ecost cos(sint)dt = π.

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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