For a solid bounded on the top by a plane z=y+82, on the bottom, by a plane xy and on the sides by a circular cylinder x2+y2 =6724 a)volume of the solid b)If the integral is performed in polar coordinates, determine the variations of "r" and "θ" in the integration region

For a solid bounded on the top by a plane z=y+82, on the bottom, by a plane xy and on the sides by a circular cylinder x2+y2 =6724 a)volume of the solid b)If the integral is performed in polar coordinates, determine the variations of "r" and "θ" in the integration region

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 18E

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Question

Two variables

For a solid bounded on the top by a plane z=y+82, on the bottom, by a plane xy and on the sides by a circular cylinder x²+y² =6724

a)volume of the solid

b)If the integral is performed in polar coordinates, determine the variations of "r" and "θ" in the integration region

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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