Use cylindrical or spherical coordinates, whichever seems more appropriate. Evaluate ∫∫∫E z dV, where E lies above the paraboloid z = x2 + y2
and below the plane z = 2y. Use either the Table of Integrals or a computer algebra system to evaluate the integral.

Step-by-step explanation:

The region E that lies above the paraboloid : z = x^2 + y^2

while the region E that lies below the paraboloid : z = 4y

equate the two equations to get the representation of the curves

x^2 + y^2 = 4y = x^2 + ( y -2 )^2 = 4

the polar form will be : r = 4sin∅

attached below is the remaining part of the solution

10010010001010010101001001010010100101010010101010010010101010110010001011010010010001

step-by-step explanation:

-2

7 - 9 = -2

reversed:

-2 + 9 = 7