Name:TA:Ryan / Maxx / Josh / Jay / AmandaSec. No:Sec. Time:Math 10CMidterm 1April 25, 2013You may not use calculators, notes, or other assistance during this exam.Turn off and put away your cell phone.If any question is not clear, ask for clarification.You have 80 minutes.#PointsScore17263948556976Σ50

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1. (7 pts.) Consider the pointP= (1,1,3) and the vectors~v=h2,0,1iand~w=h4,3,-2i.(a) If we locate~vso that it starts atP,then at what point does~vend?(b) If we locate~wso that it starts atP,then at what point does~wend?(c) Find a vector perpendicular to both~vand~w.(d) Find an equation for the plane that contains~vand~w,both located atP.

2. (6 pts.) A ball bounces on concrete. The first bounce takes two seconds to complete. Eachbounce thereafter takes three-quarters of the time of the previous bounce.(a) How long does it take for the ball to complete the first 30 bounces?(b) How much time does it take for the ball to stop moving, entirely? That is, find the sumof the infinite series.2 + 234+ 2342+· · ·