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The august 31, 2006 math 106 exam focusing on problem-solving and calculus concepts, including compound interest, finding maximums and minimums, and integration. Students are required to show their work and partial credit will be given.
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Math 106 August 31, 2006
Name
You must show all your work. Partial credit will be given.
(a) How much is in the account after three years and what is the rate of change of the amount in the account at three years? (10 pts)
(b) Using part a estimate the amount you would expect to be in the account after three and one half years. (Do not use the equation to find an exact amount, use your previous answers to arrive at an estimate.) (5 pts)
(a) f (t) = 3 + 5t^3 − 60 t
(b) h(x) = ex
2
(a)
2 x^3 − 5 x + 3 dx
(b)
7 x −
x
dx
(c)
t^2
(d)
3 x^ − x^3 dx
(e)
1 3 x
(^2) − 4 x + 3 dx