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Unformatted text preview: 1 + sin t, 1 + cos t ) for t ∈ [0 , 2 π ]. 1. Find the equations in x and y representing them and sketch the curves. 2. Each parametric curve represents a motion of an object on each curve. If consider t as the time, will these two objects collide? Explain you answer. 5 Problem 6 : Sketch the graph of r 2 = cos(2 θ ) in polar coordinates. Find the area enclosed by the curve. 6 Problem 7 : Consider the space curve r ( t ) = < sin t,t, cos t > for t ∈ [π,π ]. 1. Compute the arc length. 2. Compute the curvature. 7...
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This note was uploaded on 12/31/2011 for the course MATH 255 taught by Professor Jackwaddell during the Fall '08 term at University of Michigan.
 Fall '08
 JackWaddell
 Math

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