Let F(x, y) == and let C be the circle r (t) = (cost)i + (sint)j, 0 ≤ t≤ 2π. A. Compute მი Note: Your answer should be an expression of x and y; e.g. "3xy - y" ӘР B. Compute y Note: Your answer should be an expression of x and y; e.g. "3xy - y" C. Compute F. dr Note: Your answer should be a number D. Is F conservative? Type Y if yes, type N if no.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 44E
Question
Let F(x, y) == and let C be the circle r (t) = (cost)i + (sint)j, 0 ≤ t≤ 2π.
A. Compute
მი
Note: Your answer should be an expression of x and y; e.g. "3xy - y"
ӘР
B. Compute y
Note: Your answer should be an expression of x and y; e.g. "3xy - y"
C. Compute F. dr
Note: Your answer should be a number
D. Is F conservative? Type Y if yes, type N if no.
Transcribed Image Text:Let F(x, y) == and let C be the circle r (t) = (cost)i + (sint)j, 0 ≤ t≤ 2π. A. Compute მი Note: Your answer should be an expression of x and y; e.g. "3xy - y" ӘР B. Compute y Note: Your answer should be an expression of x and y; e.g. "3xy - y" C. Compute F. dr Note: Your answer should be a number D. Is F conservative? Type Y if yes, type N if no.
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