A surface S consists of the cylinder x 2 + y 2 = 1, 1 z

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A surface S consists of the cylinder x² + y² = 1, −1 ≤ z ≤ 1, together with its top and bottom disks. Suppose you know that f is a continuous function with

Estimate the value of ∫∫_S f(x, y, z) dS by using a Riemann sum, taking the patches S_ij to be four quarter-cylinders and the top and bottom disks.

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Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

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Question Posted: Apr 20, 2021 07:26 AM

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A surface S consists of the cylinder x 2 + y 2 = 1, 1 z

Question:

f(±1,0, 0) = 2 f(0, ±1, 0) = 3 f(0, 0, ±1) = 4 %3|

Step by Step Answer:

We can estimate the value of the surface integral S fx y z dS by using a Riemann sum where we divide ...View the full answer

Calculus Early Transcendentals

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