McCartin_Test_1_Fall_2002

McCartin_Test_1_Fall_2002 - 9. 10. MATH 101 TEST #1...

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Unformatted text preview: 9. 10. MATH 101 TEST #1 Professor Brian J. MeC‘ertin October 30. 2002* . [10 plus.) Graph y = -4 cos (Lit/2). (10 pts.) Let = 9(m) = 33:2 — 23:. Find o g and g o together with their domains. . (10 pts.) Graph ’9! 1 _(%)—w’ . (10 pts.) Graph 1; : flat) 2 2]n(m+ and find a. forn'iula. for its inverse function. . (10 pts.) Express a single logarithm: 1114 — 21n3. (10 pts.) Using the Squeeze Theorem, prove that 2 lim cos = (l. :r—)U f}: . (10 pts.) Evaluate :r: — =1 l' ' —. $1231 372 — :L' — 1‘2 . (10 pts.) Explain why f(3?) = {:26 is discontinuous at = 6. I.e.1 what type of discontinuity occurs at LC 2 6? 7:1: 5-3; — 3 ‘ (10 pts.) Find the horizontal and vertical asymptotes of y = (10 pts.) If 537.000 is invested at annual interest. find the value of the investment at the end of five years if the interest is compounded: monthly; b) continuously. (Do not try to evaluate exponentials.) *WARNING: SHOW ALL WORK! MaJfl/L 101 _ Tafi—kfi l—gbm *CWCE R1,}. H Eat/4M Q3 ' 1'71le @002. ?-l 3 . [0. 2L: L :3. -—K-— K‘” S47EOQ<+33 ; fia>=£fi2§§fl 1 +c, gmxié Xr—C; :4: X 1 C: (‘7 Ck TQMQUc-Lg\€ Ci "1'5 C. M‘LGAukT-k] 7.: 1" . ___'12 ‘1 Exam“ f5! fig?)er Q ’770 A?R ‘S’or 37%;, Q5 Comkomfiiflgi ti " bxla e fir= was 0+4}?- w-zpewm “3 Jfl ...
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McCartin_Test_1_Fall_2002 - 9. 10. MATH 101 TEST #1...

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