Math 121 Calculus II Spring 2009
Prob Pts
1
2
3
4
5
6
Total
Final Exam Name: (print neatly)
Instructor: Joyce Servatius (sign)
1. (12 pts) Suppose a point moves along the x-axis with acceleration a(t) = e3t
−e−3t
2
meters per second squared. If the point starts at the origin with velocity 30 meters per
second, what is it’s position 5 seconds later.
2. (16 pts) Suppose Z2
0
(2f(x)+3g(x)) dx = 5 and Z2
0
(5f(x)+2g(x)) dx = 4.
a) Find Z2
0
(f(x)−g(x)) dx.
b) What is the average value of f(x) on the interval [0,2].
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