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Unformatted text preview: MATH 101 TEST #1 Professor Brian J. McCortrJn
August 6, 2001* 1. (10 pts.) Graph 3; 2 cos (17/3). 2. (10. pts.) Let f(:r:) = 5%, 9(17) = $2 — 3:. Find f o g and g o f together
with their domains. 3. (10 pts.) Graph *9 = *7"? 4. (10 pts.) Graph 3; = ﬁr) = 2ln[:r+5) and ﬁnd a formula for its
inverse function. (10 pts.) Express as a single logarithm: 21nd — ln2. 5.
0. (10 pts.) Using the Squeeze Theorem, prove that 3
lim4ssin(—) = 0
$40 E 7. (10 pts.) Evaluate 1_ m—S
ﬂies—semis 8. (10 pts.) Explain vvhy ﬁre) 2 “7:316 is discontinuous at I = 4. La} what type of discontinuity occurs at :r = 4? 33: 293—5" 9. (10 pts.) Find the horizontal and vertical asymptotes of y = 10. (10 pts.) If $5000 is invested at 4% annual interest, ﬁnd the value of
the investment at the end of ﬁve years if the interest is compounded:
a) weekly; h) continuously. (Do not tr},r to evaluate exponentials.) *WARNING: SHOW ALL WORK! . an: is)". H‘ECau‘l?u ®
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 Spring '08
 Walker
 Math

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