Question

http://www.chegg.com/homework-help/questions-and-answers/find-average-value-function-f-x-y-z-x2z-y2z-region-enclosed-theparaboloid-z-1-x2-y2-plane--q144398

Answer 1

I did \[\int\limits_{0}^{1}\int\limits_{-\sqrt{1-x^2}}^{\sqrt{1-x^2}}\int\limits_{0}^{1-x^2-y^2}x^2z+y^2z _{dz dy dx}\]

Answer 2

last part is dZ dY dX

Answer 3

@satellite73

Answer 4

1)x^2+y^2=r^2
2)integrate(2*pi*r * f(r,z) from r=0 to r=sqrt(1-z), z=0 to z=1) and divide by the total volume integrate(2*pi*r from r=0 to r=sqrt(1-z), z=0 to z=1)

Answer 5

@zepdrix