Let F(x, y, z) = (e* cos y, -eª sin y, 2). (a) Show that F is conservative. (b) Find a potential f for F. That is, find a function f such that F = Vf (Hint: In class we integrated with respect to each variable and ended up with certain unknown functions of the other variable. This problem does not need to be this complicated, remember that any potential function will do.) (c) Evaluate the integral 1 F. dr, where C is the curve extending from the point (In 2, T/2, 1) to (–1, 7, 0).

Let F(x, y, z) = (e* cos y, -eª sin y, 2). (a) Show that F is conservative. (b) Find a potential f for F. That is, find a function f such that F = Vf (Hint: In class we integrated with respect to each variable and ended up with certain unknown functions of the other variable. This problem does not need to be this complicated, remember that any potential function will do.) (c) Evaluate the integral 1 F. dr, where C is the curve extending from the point (In 2, T/2, 1) to (–1, 7, 0).

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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