(a) Explanation Given information: The function is f ( x ) = { sin x x , 0 < x ≤ π 1 , x = 0 . Calculation: Provide the function as shown below. f ( x ) = { sin x x , 0 < x ≤ π 1 , x = 0 Show that x f ( x ) = sin x as shown below. x f ( x ) = { x × sin x x , 0 < x ≤ π x × 1 , x = 0 = { (b) To determine Calculate the volume of the solid by revolving the region about y axis.

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ISBN: 9780134654874

Author: WEIR

Publisher: VST

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Question

Chapter 6.2, Problem 13E

(a)

To determine

Prove that xf(x)=sinx for 0≤x≤π.

(b)

To determine

Calculate the volume of the solid by revolving the region about y axis.

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Chapter 6.2, Problem 12E

Chapter 6.2, Problem 14E

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Prove that x f ( x ) = sin x for 0 ≤ x ≤ π .