McCartin_Test_1_Fall_2000

# McCartin_Test_1_Fall_2000 - MATH 101 TEST#1 Professor Brian...

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Unformatted text preview: MATH 101 TEST #1 Professor Brian J. McCartt'n October 25: 2000* l. {10 pts.) lGraph y = {105(217). 2. (10 pts.) Lot ﬂat) : g(:t) = s:2 — 3s. Find f o 9 anti g o f together with their domains. 3. (10 pts.) Graph 1; = —( 4. (10 pts.) Graph 3; = = ln — 3) and ﬁnd a formula for its inverse function. L'ﬂll— r- a. (10 pts.) Express as a single logarithm: 21:13 —|— ln2. 6. (10 pts.) Using the Squeeze Theorem, prove that 3 limatoos (—) = 0. :s—rU :1: T. [10 pts.) Evaluate I + 3 lim mgr—3 31:2 + I: ~— 6 8. (10 pts.) Explain why ﬁrs) : is disoontinumrs at is = 3. I.e.: what type of discontinuity occurs at s: z 3? 333‘2 9. [10 pts.) Find the horizontal and vertioal asymptotes of y 2 £241. 10. (10 pts.) lf \$3000 is invested at 6% annual interest, ﬁnd the value of the investment at the end of four years if the interest is compounded: a) monthly; 1)) continuously. (Do not try to evaluate enponontials.) *WARNING: snow has ﬂoss; “CAM \ o \ _—Te‘;‘r #iS-ekwkhﬁ Pméy, H-S-CWLM CD Pa“ 94300 . . />.‘5a???.%?5¥%\%\r.ie~:¥%sss _ .1. .. \1. =. cask; __ __ : f gjmﬁw _ _ \ 5.". 3:1“ Lx—B) m) 3*:— K—E =5.) ' _ _ .. L><4---3~<‘1=>’ ELK) r: E +ex. ® " a in; +£411L§+Ai= Limb =EE37 A'MQQQUQ j; x..*,.._..._ kw X48: ' m % X90) AIM-L _ .. . . ﬂ . :2. . “ MW> Q WQVot-Lké &Q5b«k\‘m-w:‘\ ...
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