Let D be the region bounded below by the cone z = x 2 + y 2

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Let D be the region bounded below by the cone z = √x2 + y2 and above by the paraboloid z = 2 - x2 - y2. Set up the triple integrals in cylindrical coordinates that give the volume of D using the following orders of integration.

a. dz dr dθ 

b. dr dz dθ 

c. dθ dz dr

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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