1. Integral problem set

a. Use polar coordinates to find the volume of the given solid.Bounded by the paraboloid z = 3 + 2x² + 2y² and the plane z = 9 in the first octant

b. ∫∫_R (4x − y) dA, where R is the region in the first quadrant enclosed by the circle x² + y² = 25 and the lines x = 0 and y = x.