MATH 32A Study Guide - Final Guide: Osculating Circle, Unit Circle, Saddle Point

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15 Oct 2018
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Instructions: do not open this exam until instructed to do so. You will have three hours to complete the exam. Please print your name and student id number above. You may not use calculators, books, notes, or any other material to help you. Please make sure your phone is silenced and stowed where you cannot see it. You may use any available space on the exam for scratch work. If you need more scratch paper, please ask one of the proctors. You must show your work to receive credit. ~r(t) = h5t 3, 2t + 6, 4t + 5i and let p be the plane. At that point, drogon"s acceleration vector is h 1, 13, 8im (a) (3 points) find the unit normal vector ~n to the dragon"s path at s2, and he is slowing down. that point. (hint: think about the radius. A picture might help. ) (b) (3 points) find the normal component of his acceleration, an.