Use cylindrical coordinates. Evaluate the integral, where E is enclosed by the paraboloid z = 10 + x^2 + y^2, the cylinder x^2 + y^2 = 3, and the xy-plane. ?_E e^z dV
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Recall that in cylindrical coordinates, we have x = rcos(θ), y = rsin(θ), and z = z. The equation of the paraboloid in cylindrical coordinates is: 2 = 10 + r^2 The equation of the cylinder in cylindrical coordinates is: r^2 = 3 Now, we need to find the limits Show more…
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