Solve 3x 2 +3y 2dV G by using cylindrical coordinates, where G is a solid in the first octant thatenclosed by the surface z = 12 - x 2- y 2 and the plane z = A.A=1 Calculate the volume of the tetrahedron in the first octant bounded by the plane x + 2y + 3z = Qusing triple integral.Q=5

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וווכu nt that enclosed by the surface z = 12 - x 2 - y 2 and the plane z = A. A=1

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.6: The Three-dimensional Coordinate System

Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?

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Question

Solve 3x 2 +3y 2dV G by using cylindrical coordinates, where G is a solid in the first octant that
enclosed by the surface z = 12 - x 2- y 2 and the plane z = A.
A=1

Calculate the volume of the tetrahedron in the first octant bounded by the plane x + 2y + 3z = Q
using triple integral.
Q=5

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