Let C be the curve in space with parametrization r(t)cos ti +ecostj+ sin tk for t E [0, 5). Let F(r, y, z) = e-"In yi - ey'j+ zk.cos t sin t + 1'ComputeF. dr. (Hint: Think.)

Answered: Let C be the curve in space with…

Let C be the curve in space with parametrization r(t) = cos ti + ecoS t j+ sin tk for t € [0, 5]. Let F(r, y, z) = e-²In yi – ey'j+zk. cos t sint + 1' Compute F. dr. (Hint: Think.)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Let C be the curve in space with parametrization r(t)
cos ti +
ecost
j+ sin tk for t E [0, 5). Let F(r, y, z) = e-"In yi - ey'j+ zk.
cos t sin t + 1'
Compute
F. dr. (Hint: Think.)

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