Question: 1. Integral problem set a. Use polar coordinates to find the volume of the given solid.Bounded by the paraboloid z = 3 + 2x 2

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. 

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