Answered: Using double integrals, find the volume…

Using double integrals, find the volume of the octahedron with the following 8 faces: z = ±1 + x z = ±1 - x z = ±1 + y z = ±1 - y

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter8: Further Techniques And Applications Of Integration

Section8.3: Volume And Average Value

Problem 25E

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Question

Using double integrals, find the volume of the octahedron with the following 8 faces:

z = ±1 + x

z = ±1 - x

z = ±1 + y

z = ±1 - y

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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