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Suppose F(x, y) = (2y, – sin(y)) and C is the circle of radius 5 centered at the origin oriented counterclockwise. (a) Find a vector parametric equation r(t) for the circle C that starts at the point (5, 0) and travels around the circle once counterclockwise for 0

Suppose F(x, y) = (2y, – sin(y)) and C is the circle of radius 5 centered at the origin oriented counterclockwise. (a) Find a vector parametric equation r(t) for the circle C that starts at the point (5, 0) and travels around the circle once counterclockwise for 0

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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Suppose F(x, y) = (2y, – sin(y)) and C is the circle of radius 5 centered at the origin oriented counterclockwise. (a) Find a vector parametric equation r(t) for the circle C that starts at the point (5, 0) and travels around the circle once counterclockwise for 0<t< 2n. F(t) = (b) Using your parametrization in part (a), set up an integral for calculating the circulation of F around C. F. dr = :| FF1) · 7'(1) dt = dt a with limits of integration a = and b = (c) Find the circulation of F around C. Circulation =
Transcribed Image Text:Suppose F(x, y) = (2y, – sin(y)) and C is the circle of radius 5 centered at the origin oriented counterclockwise. (a) Find a vector parametric equation r(t) for the circle C that starts at the point (5, 0) and travels around the circle once counterclockwise for 0<t< 2n. F(t) = (b) Using your parametrization in part (a), set up an integral for calculating the circulation of F around C. F. dr = :| FF1) · 7'(1) dt = dt a with limits of integration a = and b = (c) Find the circulation of F around C. Circulation =
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