MATH 263 Midterm: MATH 263 2009 Winter Test 1 sec102
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Be sure that this examination has 12 pages. Write your name at the top of each page. You are allowed to bring into the exam one 8 1. 2 11 formula sheet lled on both sides. No calculators or any other aids are allowed. In case of an exam disruption such as a re alarm, leave the exam papers in the room and exit quickly and quietly to a pre-designated location. Rules governing examinations: each candidate must be prepared to produce, upon request, a. Suppose also that the position at time t of a particle moving through space is ( 1 + t, cos t, et). (a) compute the directional derivative of t at (1, 1, 1), in the direction of the vector. Page 3 of 12 pages (c) compute the rate of change of temperature experienced by the particle at time t = 0. (d) write an equation for the tangent plane to the temperature level surface.
