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 7(t) for the circle C that starts at the point...


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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 7(t) for the circle C that starts at the point (4,0) and travels around the circle once counterclockwise for 0 <t< 27.<br>F(t) =<br>(b) Using your parametrization in part (a), set up an integral for calculating the circulation of F around C.<br>í. dr =<br>dt<br>with limits of integration a =<br>A and b =<br>(c) Find the circulation of F around C.<br>Circulation =<br>Submit answer<br>

Extracted text: 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 7(t) for the circle C that starts at the point (4,0) and travels around the circle once counterclockwise for 0 <>< 27.="" f(t)="(b)" using="" your="" parametrization="" in="" part="" (a),="" set="" up="" an="" integral="" for="" calculating="" the="" circulation="" of="" f="" around="" c.="" í.="" dr="dt" with="" limits="" of="" integration="" a="A" and="" b="(c)" find="" the="" circulation="" of="" f="" around="" c.="" circulation="Submit">

Jun 04, 2022
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