(a) Explanation Divide the solid in to n number of ‘slabs’ of equal width ( Δ x ) . Consider any one of the slab as strip ( i ) and area of that i t h strip as A ( x i * ) . Find the approximate volume of the i th strip ( V ): V = Width of the strip × Area of the strip Substitute Δ x for width of the strip and A ( x i * ) for the area of the strip. V = ∑ i = 1 n A ( x i * ) Δ x The exact volume of the solid is the summation of the volume of all slabs (b) To determine To Find: The cross-sectional areas if S is a solid of revolution, ( S )

8th Edition

ISBN: 9781305756083

Author: James Stewart

Publisher: CENGAGE C

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Chapter 6, Problem 3RCC

(a)

To determine

To Explain: to calculate the approximate volume of solid (S) by a Riemann sum.

To Write: An expression for the exact volume of solid.

(b)

To determine

To Find: The cross-sectional areas if S is a solid of revolution, (S)

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Chapter 6, Problem 2RCC

Chapter 6, Problem 4RCC

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to calculate the approximate volume of solid ( S ) by a Riemann sum. To Write: An expression for the exact volume of solid.

Solution Summary: The author explains how to calculate the approximate volume of solid ( S ) by a Riemann sum.

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To Explain: to calculate the approximate volume of solid (S) by a Riemann sum.

To Write: An expression for the exact volume of solid.

To Find: The cross-sectional areas if S is a solid of revolution, (S)

Want to see the full answer?

Chapter 6 Solutions

to calculate the approximate volume of solid ( S ) by a Riemann sum. To Write: An expression for the exact volume of solid.

Solution Summary: The author explains how to calculate the approximate volume of solid ( S ) by a Riemann sum.

Concept explainers

Videos

To Explain: to calculate the approximate volume of solid (S) by a Riemann sum. To Write: An expression for the exact volume of solid.

To Find: The cross-sectional areas if S is a solid of revolution, (S)

Want to see the full answer?

Chapter 6 Solutions

To Explain: to calculate the approximate volume of solid (S) by a Riemann sum.

To Write: An expression for the exact volume of solid.