\fWrite an integral for the average value of f(x,y,z) = xyz over the region bounded by the paraboloid x = 49 -y" - z" and the yz-plane (assuming the volume of the region is known). 100 f = volume [ ] xyz dx dz dy 000Write an iterated integral for f(x,y,z) dV where D is a sphere of radius 7 centered at (0,0,0). Use the order dy dz dx. D 100 "(x,yzjav = [ S f(x,y,z) dy dz dx D