405q10 - MATH 405: Quiz 10 Name: December 11, 2006 1. Given...

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Unformatted text preview: MATH 405: Quiz 10 Name: December 11, 2006 1. Given the vector field E = (2y, 9x, 18z), evaluate the following surface integral (pls show all of your work): ^ E n dA B where B is the surface of the sphere defined by x2 + y 2 + z 2 = 1. 2. Solve the following PDE for u(x, t) by finding a general solution: u 2 + u = ex t t where is a positive constant. ...
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