For both of the following problems identify the function

Last updated: 4/10/2024

For both of the following problems identify the function whose level curve is the surface described and use it to solve the integration problem a Integrate f x y z 22 over the hemisphere given by the equation x y z 4 for z 0 Hint If you choose the circle x2 y 4 as R note that z 0 in R and plug that into the integral in that instance Answer 0 b Integrate f x y z x y z over the portion of the plane 2x 2y z 2 that lies within the first octant which means x y z 0 Hint If you choose the triangle in the x y plane as R note that 20 here so you can plug that into f in that instance Answer 1