Math 121 Calculus II Spring 2004
Prob Pts
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Final Exam Name: (print neatly)
Instructor: (sign)
1. (5 pts.) Suppose that the acceleration of a particle along the xaxis is given a(t) =
1−e−2tfor 0 ≤t≤5, and suppose that at t= 5 we have x(5) = 0 and v(5) = 5.
What is the velocity of the particle at t= 0?
2. (10 pts.) Consider the region sketched below which is bounded by the y-axis, the line
y=x+ 4 and the curve y= 10 −x2.
Find the area of the region
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6
x
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10
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