a) Solve the following iterated integrals holding Fubini's Theorem. 1. S3 S₁ (x+y)² dydx S² S √x² - y²dydx b) The volume under the surface z = 3x³ + 3x²y and over the rectangle R = {(x,y):-1 ≤ x ≤ 3,0 ≤ y ≤ 2}. 2. c) Sketch the solid bounded by the cylinder x² + y² = 4 and the planes y+ z = 4 and z=0

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