MATH 317 Midterm: MATH 317 2005 Winter Test 1

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9 Jan 2019
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Be sure that this examination has 12 pages. Write your name on top of each page. 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. Let r , r , and r denote dt , d2r dt3 respectively. [(r r ) r ] in terms of r, r , r , and r . Select the correct answer. d dt: (r r ) r , (r r ) r + (r r ) r , (r r ) r , 0, none of the above. Say whether the following statements are true (t) or false (f). You may assume that all functions and vector elds are de ned everywhere and have derivatives of all orders everywhere. F ds2: let a(t) be the area swept out by the trajectory of a planet from time t0 to time t.