7. Let F = x² + ²² − x² + y² j Find the line integral of the tangential component of F, from (-1,0) to (1,0), (a) along the semicircle y = √1-x².

Calculus: Early Transcendentals
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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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7. Let
y
F =
x² + y²
-
X
x² + y²
j
Find the line integral of the tangential component of F, from (-1,0) to (1,0),
(a) along the semicircle y VI - 12
(b) along the dotted polygonal path shown in figure 4.4.
8. By changing to polar coordinates, find the answers to exercise 7 by inspection.
Transcribed Image Text:7. Let y F = x² + y² - X x² + y² j Find the line integral of the tangential component of F, from (-1,0) to (1,0), (a) along the semicircle y VI - 12 (b) along the dotted polygonal path shown in figure 4.4. 8. By changing to polar coordinates, find the answers to exercise 7 by inspection.
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