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, ﬁnd 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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This note was uploaded on 02/06/2012 for the course MATH 265 taught by Professor Gregorac during the Spring '08 term at Iowa State.
- Spring '08