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Use the double integral to work the following exercises. 1. Establish and evaluate the double integral required to find the moment of inertia I, with
Use the double integral to work the following exercises. 1. Establish and evaluate the double integral required to find the moment of inertia I, with respect to the given straight line, of the lamina limited or bounded by the curves a) y = ?x, y = 0, x= 4, p = kx, line x = 6 b) y = 4 x, y = 0, p=k, line y = 2 II. Determine the area of ??the surface a) Portion of the plane z = 24-3x - 2y in the first octant. b) Portion of the cone z = 2?x + y2 and inside the cylinder x + y = 4.
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