(a) Find a vector parametric equation for the ellipse that lies on the plane z - (3x + 2y) = -3 and inside the cylinder x^2 + y^2 = 16. r(u,v) = _____ for 0 ≤ u ≤ 4 and 0 ≤ v ≤ 2π. (b) dA = r_u × r_v = _____ (c) dA = ||dA|| = ||r_u × r_v|| = _____ (d) Set up and evaluate a double integral for the surface area of the ellipse. Surface area = _____
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