Unformatted text preview: AMS 151.02 Applied Calculus I Pratice Final Exam December 11th, 2007 1. in the early 19605, radioactive strontium—90 was released during atmospheric testing of nuclear
weapons and got into the bones of people alive at the time. If the half—life of strontium—90 is 40
years, (a) (5pts) Write a formula for the quantity of strontium—90, Q, left after it years, if the initial
quantity is Q0. (b) (Spts) If the initial quantity of strontium—90 was measured in 19608, what percentage of the
original amount will be left in 2006? 2. Find both horizontal and vertical asymptotes for each of the following functions. If any of the
asymptotes doesn’t exist, clearly state that. (a) (5pts) _ ‘
_ 14173 — 5.2:0 717:3 — 71’ “W 23: — 4 anew 9
—355‘ i 91’ W S
“mtafjﬁte 3. Find the derivative ,7/(m) of each of the following functions yer). (a) (410738)
_ 3 arcsinr A tans; Mm) _ :21? — E ‘4—9
(b) (3%) ‘
mm:beuﬁiif (C) (3pts) :
y(:L') = log5(:04)s2 1“, — 4’" v .r’J‘ '3 ((1) (51m) 0 ‘ m
3mg“ — e3“ — sec I : 2.9 4. Evaluate the following limits.
(3) (51m) 1. :c‘ — 41%" — '71
1329 43:3 — 121’ — 5.14
(b) (5pm) , ,
_ #2811113—‘r481n21?
lim ———_—
x—>U sm 4x 1 ...
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