You have answered 2 out of 5 parts correctly. Suppose F(z, y) = (2y, – sin(y)) and C is the circle of radius 4 centered at the origin oriented counterclockwise. (a) Find a vector parametric equation...



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You have answered 2 out of 5 parts correctly.<br>Suppose F(z, y) = (2y, – sin(y)) and C is the circle of radius 4 centered at the origin oriented counterclockwise.<br>(a) Find a vector parametric equation F(t) for the circle C that starts at the point (4,0) and travels around the circle once counterclockwise for 0 <t< 2n.<br>F(t) = <2 cos (t)+2 sin (t) > A<br>(b) Using your parametrization in part (a), set up an integral for calculating the circulation of F around C.<br>= | F(F(t)) - 7'(t) dt = / (-8 sin? (t) – 2 sin (t) sin(2 cos(t))) dt<br>with limits of integration a =<br>and b = 2n<br>(c) Find the circulation of F around C.<br>Circulation = -8T<br>

Extracted text: You have answered 2 out of 5 parts correctly. Suppose F(z, y) = (2y, – sin(y)) and C is the circle of radius 4 centered at the origin oriented counterclockwise. (a) Find a vector parametric equation F(t) for the circle C that starts at the point (4,0) and travels around the circle once counterclockwise for 0 <>< 2n.="" f(t)=""><2 cos="" (t)+2="" sin="" (t)=""> A (b) Using your parametrization in part (a), set up an integral for calculating the circulation of F around C. = | F(F(t)) - 7'(t) dt = / (-8 sin? (t) – 2 sin (t) sin(2 cos(t))) dt with limits of integration a = and b = 2n (c) Find the circulation of F around C. Circulation = -8T

Jun 03, 2022
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