Explanation Use the formula for surface integral over a graph to obtain the result Given : Part of the unit sphere centered at the origin where x ≥ 0 and | y | ≤ x ; f ( x , y , z ) = x Formula used : n = 1 + g x 2 + g y 2 Calculation : We parametrize the surface as ( θ , φ ) = ( cos θ sin φ , sin θ sin φ , cos φ ) , − π 4 ≤ θ ≤ π 4 , 0 ≤ φ...

4th Edition

ISBN: 9781319323394

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 17.4, Problem 26E

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$\iint_{S} f (x, y, z) d S$ for the given surface and function

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Chapter 17.4, Problem 25E

Chapter 17.4, Problem 27E

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Chapter 17 Solutions

CALCULUS W/SAPLING ACCESS >IC<

Ch. 17.1 - Prob. 1PQ Ch. 17.1 - Prob. 2PQ Ch. 17.1 - Prob. 3PQ Ch. 17.1 - Prob. 4PQ Ch. 17.1 - Prob. 1E Ch. 17.1 - Prob. 2E Ch. 17.1 - Prob. 3E Ch. 17.1 - Prob. 4E Ch. 17.1 - Prob. 5E Ch. 17.1 - Prob. 6E

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∬ S f ( x , y , z ) d S for the given surface and function

Solution Summary: The author explains the formula for surface integral over a graph to obtain the result. The length of the normal is given by n = sin.

Videos

To Calculate:

$\iint_{S} f (x, y, z) d S$ for the given surface and function

Want to see the full answer?

Chapter 17 Solutions

∬ S f ( x , y , z ) d S for the given surface and function

Solution Summary: The author explains the formula for surface integral over a graph to obtain the result. The length of the normal is given by n = sin.

Videos

To Calculate: ∬Sf(x,y,z)dS for the given surface and function

Want to see the full answer?

Chapter 17 Solutions

To Calculate:

$\iint_{S} f (x, y, z) d S$ for the given surface and function