Hi, this is the circulation solution. The question is asking for the flux? This should be the derivative of M with respect of x subtracted by the derivative of N with respect of y with the correct boundaries of the equation. Mx-Ny I have gotten is 27x^2y^2 - 9/2x^4. If you can help with the rest that would be helpful thank you!

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 37E
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Hi, this is the circulation solution. The question is asking for the flux? This should be the derivative of M with respect of x subtracted by the derivative of N with respect of y with the correct boundaries of the equation. Mx-Ny I have gotten is 27x^2y^2 - 9/2x^4. If you can help with the rest that would be helpful thank you!

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This solution still seems to be incorrect. I think the boundaries might be x=0 x=3 y=x y=x^2-2x but x^2-2x should be larger than x so it should be the higher limit and not the lower limit. Can you try to do this problem again but with the new equation in the picture below. The process should be the same I am just having a hard time finding the correct flux solution. Please solve for flux and circulation. Thank you for your help

Use Green's Theorem to find the counterclockwise circulation and
outward flux for the field F and curve C.
1
32
F=x³y²i+ — xªyi
yj
(0,0)
y=x
(3,3)
y=x² - 2x
X
Transcribed Image Text:Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and curve C. 1 32 F=x³y²i+ — xªyi yj (0,0) y=x (3,3) y=x² - 2x X
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