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Posted

At what point are you stuck?

Can you parametrize a curve? Can you calculate components of curl or calculate div? Do you even know what they are?

Posted (edited)

Are you sure you are taking this course?  Perhaps you accidently went into the wrong class and were given homework for a course you aren't taking!

 

The first problem asks you to integrate [math]\oint_L x^2y da_x- y da_y[/math] around the path consisting of the straight line from (0, 0) to (1, 1), then the straight line from (1, 1) to (2, 0), then the straight line from (2, 0) back to (0, 0).

The first line can be written as y= x so dy= dx and [tex]dl= \sqrt{(dx)^2+ (dy)^2}= \sqrt{(dx)^2+ (dx)^2}= \sqrt{2}dx[/tex] with x from 0 to 1.  [tex]\v

Edited by HallsofIvy

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