Question

Write the equations in cylindrical coordinates. (a)     7x2 − 3x + 7y2 + z2 = 1...

Write the equations in cylindrical coordinates.

(a)    

7x2 − 3x + 7y2 + z2 = 1


(b)    

z = 7x2 − 7y2

Evaluate the integral by making an appropriate change of variables. 9(x + y) ex2 − y2 dA, R where R is the rectangle enclosed by the lines x − y = 0, x − y = 3, x + y = 0, and x + y = 9

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