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Let F (x, y) DQ A. Compute dz izj and let C be the circle r(t) = (cos t) i + (sin t) j. 0 < t ≤ 2. DP By z²+y² Note: Your answer should be an expression of x and y; e.g. "3xy - y" B. Compute Note: Your answer should be an expression of x and y; e.g. "3xy-y C. Compute JF-dr Note: Your answer should be a number D. Is F conservative? Type Y if yes, type N if no.

Let F (x, y) DQ A. Compute dz izj and let C be the circle r(t) = (cos t) i + (sin t) j. 0 < t ≤ 2. DP By z²+y² Note: Your answer should be an expression of x and y; e.g. "3xy - y" B. Compute Note: Your answer should be an expression of x and y; e.g. "3xy-y C. Compute JF-dr Note: Your answer should be a number D. Is F conservative? Type Y if yes, type N if no.

Advanced Engineering Mathematics
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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Let F(x, y) A. Compute dz yi+zj z²+y² and let C be the circle r(t) (cos t)i + (sin t) j, 0≤t≤ 2m. Note: Your answer should be an expression of x and y; e.g. "3xy - y" OP B. Compute Dy Note: Your answer should be an expression of x and y; e.g. "3xy - y C. Compute fF.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) A. Compute dz yi+zj z²+y² and let C be the circle r(t) (cos t)i + (sin t) j, 0≤t≤ 2m. Note: Your answer should be an expression of x and y; e.g. "3xy - y" OP B. Compute Dy Note: Your answer should be an expression of x and y; e.g. "3xy - y C. Compute fF.dr Note: Your answer should be a number D. Is F conservative? Type Y if yes, type N if no.
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