To determine To find: The volume of the solid of revolution formed when its rotating about the x axis where the region bounded by the curves y = 1 3 x + 2 , y = 0, x = 1 and x = 3 . Explanation Formula used: The volume of the solid formed by rotating R about the x axis is ∫ a b π f ( x ) 2 d x , where R is the region between f ( x ) and x -axis from x = a to x = b . Calculation: Calculate the volume of the solid as when the region R is rotating about the- x axis. The curves are y = 1 3 x + 2 and y = 0 . Here, R is the region between f ( x ) = 1 3 x + 2 and x axis where x varies from 1 to 3. Substitute the respective values in ∫ a b π f ( x ) 2 d x and evaluate. V = ∫ 1 3 π ( 1 3 x + 2 ) 2 d x = π

Calculus With Applications, Books a la Carte Plus MyLab Math Package (11th Edition)

11th Edition

ISBN: 9780133886849

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

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Chapter 8.2, Problem 5E

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To find: The volume of the solid of revolution formed when its rotating about the x axis where the region bounded by the curves y=13x+2 , y = 0, x=1 and x=3 .

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Chapter 8.2, Problem 4E

Chapter 8.2, Problem 6E

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Calculus With Applications, Books a la Carte Plus MyLab Math Package (11th Edition)

Ch. 8.1 - YOUR TURN 1 Find Ch. 8.1 - YOUR TURN 2 Find Ch. 8.1 - YOUR TURN 3 Find Ch. 8.1 - YOUR TURN 4 Find . Ch. 8.1 - YOUR TURN 5 Find Ch. 8.1 - Prob. 1WE Ch. 8.1 - Find the following. W2. Ch. 8.1 - Find the following. W3. Ch. 8.1 - Find the following. W4. Ch. 8.1 - Use integration by parts to find the integrals in...

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