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Multivariable Ch 12 Review Quiz

Multivariable Ch 12 Review Quiz - solve 4 Find the moment...

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Name___Answer Key____ Date_________________ Chapter 12 Quiz 1) Find the double integral of f(x,y) = 6x 2 + 2y over R where R is the region between y = x 2 and y = 4. 2) Find the volume to the part of the paraboloid z = 9 - x 2 - y 2 that lies inside the cylinder x 2 + y 2 = 4 and above the XY plane. (Mayur Pandya)
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Name___Answer Key____ Date_________________ Chapter 12 Quiz 3) A rectangular metal sheet with 2 < x < 5 and 0 < y < 3 has density function p(x,y) = x + y. Set up the double integral that gives the mass of the metal sheet and
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Unformatted text preview: solve. 4) Find the moment of inertia about the z-axis of the solid that lies below the paraboloid z = 25 - x 2- y 2 inside the cylinder x 2 + y 2 = 4 above the xy-plane, and has density function p(x,y,z) = x 2 + y 2 + 6z. (Mayur Pandya) Name___Answer Key____ Date_________________ Chapter 12 Quiz 5) Find the Jacobian of the polar coordinates transformation x(r,θ) = rcos(θ) and y(r,θ) = rsin(θ) (Mayur Pandya)...
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