Solutions to Test 4

0. In the Mathematica command

   Integrate[Exp[x y], {x,0,1}, {y,0,2}] which integral is done first, the x integral___ or the y integral____? (check one)


1. (8 points). Calculate the area of the quadrilateral with vertices at (0,0), (4,2), (2,2), and (4,6)

An explicit line integral or sum of line integrals equal to this area is:_________________________________

The area is: _______________________________


3. (8 points). Let F(x,y) := (y + cos(x))i + (x-1) j

a) Is this vector field exact? (for other parts of this question , see the solution

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