(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let C be the triangle from (0,0,0) to (2,0,0) to (0,2,1) to (0,0,0) which lies in th plane z=y/2. If F(x,y,z)=-3y^2i+4zj+6xk, calculate integral of CFdot drusing Stoke's Theorm.

2. Relevant equations

For the curl of F, I obtained -4i-6j+6yk.

For N, I obtained 0i-1/2j+k.

0 greater than equal to X greater than equal to 2.

0 greater than equal to Y greater than equal to 2-x.

3. The attempt at a solution

For F dot N, I obtained 3-6y.

Integrated dydx.

After integration, I obtain -2; however, I believe the answer is 14.

What is going wrong?

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# Stoke's Theorem

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