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circular end of the cylinder centered at (0, 5, 0) boundary a circle, C, and the surface S is oriented outward. Let F = -ryi+3+yz k, and suppose you are also told that F = curl (32i+ryz j+2F). (a) Suppose that you want to calculate fs F dÃ. Write down two other inte- grals that have the same value as fs F-dÃ. (b) Calculate fs F dA using whatever method is easiest.

circular end of the cylinder centered at (0, 5, 0) boundary a circle, C, and the surface S is oriented outward. Let F = -ryi+3+yz k, and suppose you are also told that F = curl (32i+ryz j+2F). (a) Suppose that you want to calculate fs F dÃ. Write down two other inte- grals that have the same value as fs F-dÃ. (b) Calculate fs F dA using whatever method is easiest.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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12. Let W be the solid object consisting of two solid cylinders meeting at right angles at the origin. One cylinder is centered on the y-axis, between y = -5 and y = 5 with radius 2 and the other is centered on the z-axis between r = -5 and r = 5 with radius 2 (see figure below). Let S be the whole surface of W except for the circular end of the cylinder centered at (0,5, 0). The boundary of S is a circle, C, and the surface S is oriented outward. Let F = -ryi+37+yz k, and suppose you are also told that F = curl (3zi+ryzj+2k). (a) Suppose that you want to calculate fs F dÃ. Write down two other inte- grals that have the same value as fF.dA. (b) Calculate f, F.dà using whatever method is easiest.
Transcribed Image Text:12. Let W be the solid object consisting of two solid cylinders meeting at right angles at the origin. One cylinder is centered on the y-axis, between y = -5 and y = 5 with radius 2 and the other is centered on the z-axis between r = -5 and r = 5 with radius 2 (see figure below). Let S be the whole surface of W except for the circular end of the cylinder centered at (0,5, 0). The boundary of S is a circle, C, and the surface S is oriented outward. Let F = -ryi+37+yz k, and suppose you are also told that F = curl (3zi+ryzj+2k). (a) Suppose that you want to calculate fs F dÃ. Write down two other inte- grals that have the same value as fF.dA. (b) Calculate f, F.dà using whatever method is easiest.
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