Vector Calculus Help? Last one that I don't get!
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Vector Calculus Help? Last one that I don't get!

[From: ] [author: ] [Date: 12-08-27] [Hit: ]
..I need help setting this one up, Please.F(x,y)= (M(x,......
https://eee.uci.edu/12z/44265/home/MidExam-sample.pdf

Problem #5, I don't know what to do w/those points(plots)!, I was doing the r1(t-1)+r0(t) but it was taking forever, I am probably doing it wrong,..I need help setting this one up, Please.

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Problems with a bounded region is easier done using Green's Theorem
Greens Theorem states if
F(x,y)= (M(x,y), N(x,y))

The the integral of the lines of the bounded region, (it is a square bounded) is equal to

double integral of dN/dx-dM/dy with respect to area.

dN/dx-dM/dy= (2xy-1)-(1+2xy)= -2

double integral of -2..now we need to determine the interval of area. Since the hypotenuse is one and the it is a square, we can conclude the x and y component is sqrt(2)/2

integral ( integral -2,x,-sqrt(2)/2, sqrt(2)/2) ,y -sqrt(2)/2, sqrt(2)/2

do some easy double integrals

http://www.wolframalpha.com/input/?i=int…

work = -4.

I can't type 2*sqrt(2) as the integrand for some reason, so i took decimals.
Let me know if you need more help.
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