The graph of y (x), for a x b, is rotated about the y axis In this situation, the surface area of the resulting surface is Determine the surface area for each surface of revolution If the surface area cannot be computed exactly, find an approximate value (x) x, 0, 4 TSX S 2 x1 f'(x) dx...

and Let fxx Then Finally SA 2 1 x x dx 2x x xdx 2 x x 1 1 dx S 1 4x 64 Using the substitu ...

The graph of y = (x), for a x b, is rotated about the y-axis.

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The graph of y = ƒ(x), for a ≤ x ≤ b, is rotated about the y-axis. In this situation, the surface area of the resulting surface is

TSX S = 2 x1 + f'(x) dx

Determine the surface area for each surface of revolution. If the surface area cannot be computed exactly, find an approximate value.

ƒ(x) = √x, [0, 4]

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 09, 2023 05:50 AM

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The graph of y = (x), for a x b, is rotated about the y-axis.

Question:

TSX ₁ S = 2π x√√1 + f'(x)² dx

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and Let fxx Then Finally SA 2 1 x x dx 2x x xdx 2 x x 1 1 dx S 1 4x 64 Using the substitu...View the full answer

Calculus

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