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Material Type: Exam; Class: Applied Math-Intro Calculus; Subject: Mathematics; University: Christian Brothers University; Term: Fall 2006;
Typology: Exams
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Math 106 October 12, 2006
Name
You must show all your work. Partial credit will be given. Each problem is worth 6 points.
(a) s(t) = t^3 − 3 t^2 + 3t − 1.
(b) f (x) = 4x−^2 + 2t−^1 + 1.
(c) g(t) = 2t.
(d) y = 4 x^3 − 15 x^2
(e)
− 1
3 x + 4 dx
(f)
1
(−x^2 + 4x − 3) dt
V (t) = − 2. 133 t^3 + 3. 999 t^2 − 0. 1533 t + 0. 3167
miles per minute, where t is the number of minutes since measurement began. Find a position function D(t) which describes the distance traveled by the minivan since measurement began.