McCartin_Test_3_Summer_2001

McCartin_Test_3_Summer_2001 - MATH 101 TEST #3 Professor...

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Unformatted text preview: MATH 101 TEST #3 Professor Brian. J. M CCdT'ttft September 21, 2001* 1. (20 [)tfi.) The altitude of a triangle is increasing at a rate of 2 em/msn while the area ef the triangle is increasing at a rate of l sing/min. At what rate is the base ef the triangle ("hanging when the altitude is 53 em. and the area is 50 emfl? ‘2. (10 hits.) Find the linearizatien L(;r) ef : eh at e = U. 3. {10 late.) Find the difi't-irential dy ef y = sins: and evaluate sly fer a: = 37/6. elm = 0.05. 4. (20 pts.) Find the peints en the hyperbela y": F 332 2 Hi that. are elnsest te the peint (1, U). 5. (1U Ins.) Using the Mean Value Theereni. shew that. l ail—:tél—Qmifflims: 1. '5. (15 pts.) Using I’Hepital‘s Rule. find ees s: — 1 lim Ifi'fl tan I? 7. (15 nuts.) Fer flit) = srlnmt up Find the intervals en whieh f is inereasing‘ er deereasing. I Find the leeal maxinnnn and 1ni1'n'1nuni values ef f. I: Find the intervals ef enneavit}? and the infleetien points. ' :WARNING: SHOW ALL ifimm Vrag'. HECaJiM Q) ' ff Q[._"><-=-; to; L'f'i'fi'f j C2) _. .. . S 3.1::- LK..." V) x 5 I Q; . # C K..._ k O :153 116 of: . 2-:— ...._-. H Kg“? ___'tmw X I E O H K}, VH5; p: 1MB: P‘ka b“ .— ‘Tb'wxx fl. "0 X‘DO $€c9x —_ 7'— IO 0 fl?" £HL7<ND== x"wa ==> Eon): lax + l =>£2>Q=RL>C f‘mw 73% MM :5; K: :jLQCd.\‘W‘CA, )0 T3? K>Jé '3 :1 O I"; ‘54-: ‘1: .. __.._..._ b _ _ \ 9. ‘ CM 015$) 3- £1\0~n<é)m3 ' M Auflflum (-7. Milk MAMBGL-L- za— . 9.93 C. at 53¢- L&\?L~}_G{J vL€3u D A L Di) I-DB I V1 0 KA_‘g'l-€c%'y)dhbg:¢\la ...
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McCartin_Test_3_Summer_2001 - MATH 101 TEST #3 Professor...

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