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McCartin_Test_1_Summer_2001

# McCartin_Test_1_Summer_2001 - MATH 101 TEST#1 Professor...

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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 ® “(L'k'h \‘Oim—Vcs-JF'Gj—gdw‘k‘tm Swimmexf Q—OO\ __ ___ﬁ ____H___ ..m. “-73- what? £a-k'th .22"! tAchu% 5}. _qéu'ka-z 3+5 .. J— ‘t -- __._Q9__ ”:3? L231. BLW -\{_ . . . . _____ __ .. 1L1 L1 La Liz: Lie—La. _ *- __ m wig _- é—E’éirﬁﬂ— W B“: 6 __-__‘1\x1_L_Lf3____.‘i_’:~..L:)-‘_L1 LXI D A \$bfgggw . . ...
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