MA 114 Midterm: t4.s.14

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31 Jan 2019
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Record your answers on the right of this cover page by marking the box correspond- ing to the correct answer: free response questions: Show all your work on the page of the prob- lem. Clearly indicate your answer and the reasoning used to ar- rive at that answer. Unsupported answers for the free response questions may not receive credit! Record the correct answer to the following problems on the front page of this exam: the polar coordinates (r, ) of the point p with rectangular coordinates (x, y) = 4: the motion of a particle in the x-y plane is given parametrically by the equations x(t) = 3t cos(3t), y(t) = 3t sin(3t), 0 t , were the units of distance and time are meters and seconds, respectively. The speed (in m/s) of the particle at t = is: 3 (2 cos 1)p(2 cos 1)2 + (2 sin )2 d .