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Suppose F(x, y) = (5x +5y,2x + 3y) and C is the circle of radius 9 centered at the origin oriented counterclockwise. (a) Find a vector parametric equation r(t) for the circle C that starts at the point (9,0) and travels around the circle once counterclockwise for 0

Suppose F(x, y) = (5x +5y,2x + 3y) and C is the circle of radius 9 centered at the origin oriented counterclockwise. (a) Find a vector parametric equation r(t) for the circle C that starts at the point (9,0) and travels around the circle once counterclockwise for 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Suppose F(x, y) = (5x + 5y, 2x + 3y) and C is the circle of radius 9 centered at the origin oriented counterclockwise. (a) Find a vector parametric equation (t) for the circle C that starts at the point (9,0) and travels around the circle once counterclockwise for 0 < t ≤ 2m. F(t) = 0 (b) Find the circulation of around C. (Remember that the circulation of (P,Q) around the curve C is f Pdx + Qdy.) Circulation = (c) Find the outward flux of across C. (Remember that the outward flux of (P,Q) across the curve C is fo-Qdc + Pdy.) Flux =
Transcribed Image Text:Suppose F(x, y) = (5x + 5y, 2x + 3y) and C is the circle of radius 9 centered at the origin oriented counterclockwise. (a) Find a vector parametric equation (t) for the circle C that starts at the point (9,0) and travels around the circle once counterclockwise for 0 < t ≤ 2m. F(t) = 0 (b) Find the circulation of around C. (Remember that the circulation of (P,Q) around the curve C is f Pdx + Qdy.) Circulation = (c) Find the outward flux of across C. (Remember that the outward flux of (P,Q) across the curve C is fo-Qdc + Pdy.) Flux =
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