Explanation Explanation Given : The value of function f ( x , y , z ) at sample points in the three pieces is 0.9, 1 and 1.1 respectively. Area of each of the three small pieces is 0.2 Calculations: The value of function f ( x , y , z ) at sample points in the three pieces is 0.9, 1 and 1.1 respectively. Let S1 , S2 and S3 donate the area of three small pieces. Hence: ∬ S 1 d s = ∬ S 2 d s = ∬ S 3 d s = 0.2 (1) Surface integral of a function f ( x , y , z ) over a surface S is given as ∬ S f ( x , y , z ) d s . Dividing this integral into the three different integral we get: ∬ S f ( x , y , z ) d s = ∬ S 1 f ( x , y , z ) d s + ∬ S 2 f ( x , y , z ) d s + ∬ S 3 f ( x , y , z ) d s ∬ S f ( x , y , z ) d s = ∬ S 1 ( 0...

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 17.4, Problem 4PQ

To determine

To determine:

A small area S is divided into three small pieces, each of area 0.2. Estimate $\iint_{S} f (x, y, z) d s$ if $f (x, y, z)$ takes the values 0.9, 1 and 1.1 at sample points in these three pieces.

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Chapter 17.4, Problem 3PQ

Chapter 17.4, Problem 5PQ

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Chapter 17 Solutions

CALCULUS (CLOTH)

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A small area S is divided into three small pieces, each of area 0.2. Estimate ∬ S f ( x , y , z ) d s if f ( x , y , z ) takes the values 0.9, 1 and 1.1 at sample points in these three pieces.

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To determine: A small area S is divided into three small pieces, each of area 0.2. Estimate ∬Sf(x,y,z)ds if f(x,y,z) takes the values 0.9, 1 and 1.1 at sample points in these three pieces.

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Chapter 17 Solutions

To determine:

A small area S is divided into three small pieces, each of area 0.2. Estimate $\iint_{S} f (x, y, z) d s$ if $f (x, y, z)$ takes the values 0.9, 1 and 1.1 at sample points in these three pieces.