McCartin_Test_2_Fall_2002

# McCartin_Test_2_Fall_2002 - MATH 101 TEST #2 Pf’qfesso'r...

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Unformatted text preview: MATH 101 TEST #2 Pf’qfesso'r Brian J. McCartm Noven’lber 20, 2002* 1. (10 pte.) If a, ball is thrown upwards with a velocity of 80 ft /sec, its height (in feet) after IE seconds is given by y = 802? -~— 16:52. Find the veloei’tq,»r when t = 2. 2: (10 pts.) Find the derivative of 2 #2 + using the deﬁnition of the der'MLtme. 3. (40 pts.) Find the derivative of: (a) (3.3::- (b) 111 {ac/5) (c ew- [d loglu (437) (0 tan (3:2 -+- 5) {f cos—1 (ac/2) (g; coth (23:) (11 cosh—1 — 1) (i 1336753" 0 (0vERu *WARNING: SHOW ALL WORK: t).- (i. . (10 pts.) Evaluate 5111319 632 lim {3—H} [10 pm.) Useimplicit diﬁ'erentiation to ﬁnd the tangent and 1101111111 lines to + = 2 at the point (9:133). t\.J (10 ptﬁ.) Fim-l 3:11 11 y = ul— TE” . (1.0 pta.) Use logarithmic: differentiation to calculate y’ if y 2 :r‘im'm. Hoiwol-Te-ﬁrﬁl C\$o\%.\~§%") :::;:+M O .L we: 30—b- Iét“ =3 “we? €©~5aa=r>vca>.—. 80—6? =_ " szsec, , is; bar-3mm)“ My ig+5cx+m+h+sx A, ngf- ' am o a x [96- 305+») +41%): —.~_ 1;; 5” W51“ -,z- a»: 3 . hu- - ——' Nae “UM-kw“) Jr" Max RI 3A6»: o’w :. -—C\$C.1L7¢~)-A«(X) +39% =25 X I—I" \{, L— Cacao-c): ,QmCK) 4r l _ WW. ‘M=!"immmm:~m__ .H...u,? (a: 0C.) 1 .15 ><. . ...
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## This note was uploaded on 11/23/2009 for the course MATH 101 taught by Professor Walker during the Spring '08 term at Kettering.

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McCartin_Test_2_Fall_2002 - MATH 101 TEST #2 Pf’qfesso'r...

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