Calculus I, Math 170 Final Exam Solutions Spring 2009 Directions ...

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$Calculus I, Math 170 Final Exam Solutions Spring 2008 Directions ...$

$Calculus I, Math 170 Final Exam Solutions Spring 2008 Directions ...$

(2) Find each of the limits given below. Work is required to justify each of your answers. If the limit does not exist, then state why. √ x − 1 − 2 (a) (4 points) lim x→5 x − 5 sin x (b) (4 points) lim x→∞ x (c) (4 points) lim x→0 csc 2x cot x
16 14 (3) A particle moves along the12y-axis. Its initial position at t = 0 sec is y(0) = 3 cm. The figure below shows the graph of the particle’s velocity v(t); the numbers shown are the signed areas of the enclosed regions. (cm/sec) v Show Text Objects Show Function Plot Show Points 10 8 6 4 2 -5 5 10t -2 17 -8 2 (sec) -4 -6 -8 -10 (a) (3 points) What is the particle’s displacement between t = 0 sec and t = 6 sec? -12 -14 (b) (3 points) Give the position -16 of the particle at t = 2 sec, t = 6 sec, and t = 10 sec. -18 (c) (4 points) What is the total distance traveled by the particle on the time interval [0, 10]? (d) (2 points) Approximately when does the particle achieve its greatest downward acceleration on the interval [0, 10]?
Page 1: Calculus I, Math 170 Final Exam Sol
Page 5 and 6: (7) An iron works company has contr
Page 7 and 8: (10) Consider the region R bounded
Page 9 and 10: (12) Let f(x) = x2 − 4. By comple

Calculus I, Math 170 Final Exam Solutions Spring 2009 Directions ...

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