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Unformatted text preview: plane.) 3. Show that the parametric curve ( x ( t ) ,y ( t ) ,z ( t )) = (1-sin(2 t ) , 2(sin t + cos t ) , cos(2 t )) lies on a sphere centered at the origin. Also, nd the radius of the sphere. 4. Find the area of the quadrilateral in the plane with vertices located at (3,1), (7,3), (4,4) and (0,3) using vector techniques. 5. Find the cumulative length function s ( t ) (starting from a = 1) of the parametric curve h ln t, 2 t, 1 2 t 2 i ....
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- Spring '08