Sample Test 2 with Resolution - Calculus III | MATH 311, Exams of Advanced Calculus

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Millersville University Name — Arsee Key Mathematics Department MATH 261, Test 2 October 4, 2002, 2:00PM-2:50PM Please answer the following questions. Answers without justifying work will receive no credit. Partial credit will be given as appropriate, do not leave any problem blank. 1. (12 points) Find the position function of a particle whose acceleration function is a(t) = (e*, -t, sin¢), whose initial velocity vector is v(0} = (4, 2,4), and whose initial position vector is r(0) = (0,4, -2). ‘ at -t? Se) = Lawrie » Leet e vcat oe t Slee Che ca) Bla): a cas “ 7 12 cQt\s Cte 2. (12 points) Find the value of the following limit. : xy t+ ay? im 2YTey (ea)—(0,0) 2? + y? t US Ce o