12.6 number 6

Do i have the boundaries of z correct?  Also how exactly do i calculate boundaries for x and y?  Replace something w zero or set it equal to zero or..?

Thank You,

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Yes.  To calculate the boundaries for x&y you have to understand what is the shadow of the figure on the xy-plane.  Since E is part of three dimensional space below z=4-4(x^2+y^2)  and above the xy plane, and since the xy plane is give by the equation z=0, the intersection is given by the equation 0=4-4(x^2+y^2) or x^2+y^2=1--this is the unit circle of course. Depending on the order of your integration you have to use this formula to get the limits above and below in the middle integration, while the outside integration has the limits which allow the full extent of the circle.