1. Let f(z,y) = cos(z - y) and C be the line segment from (-1,1) to (3,-2). Set up but do NOT evaluate the following: f(x,y) ds

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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1.
Let f(x, y) cos(-y) and C be the line segment from (-1, 1) to (3,-2). Set up but do
NOT evaluate the following.
2.
=
√ 1(2₁0
f(x,y) ds
Note to your future self about how to do this problem:
Consider the vector field F(x, y) = (x,y). Let C be the upper half of the circle of radius 1
centered at the origin (² + y² = 1) that is traced once counterclockwise. Evaluate the line integral:
SF. di
Note to your future self about how to do this problem:
(Ja
Transcribed Image Text:1. Let f(x, y) cos(-y) and C be the line segment from (-1, 1) to (3,-2). Set up but do NOT evaluate the following. 2. = √ 1(2₁0 f(x,y) ds Note to your future self about how to do this problem: Consider the vector field F(x, y) = (x,y). Let C be the upper half of the circle of radius 1 centered at the origin (² + y² = 1) that is traced once counterclockwise. Evaluate the line integral: SF. di Note to your future self about how to do this problem: (Ja
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