05m2-solution - 3A Midterm II Spring 2005 Instructor G Wei...

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Unformatted text preview: 3A Midterm II Spring 2005 May 20, 05 Instructor: G. Wei Name Discussion time (circle one): 1pm; 4pm; 5pm; 613111 Total Score: 60 Your Scores: 1 ........ \. 2. 3r 4“ 5. ....... A. Your Total ......... .1. ............................................. ,. Books, notes axe NOT allowed Continue on the back of the page if more space is needed“ READ the problems caxefillly. No calculators are allowed, ll (28 pts) Find f’ for each of the following (:3) 1%) = WU? + 56$) 2 “l X ’ FM“: ("Hm") + Yaw-WU l7) fill k "r. W xgfl (c) M) =31 Y X ((1)) Find f‘45)(m) for fix) 2 31:12:13. .f’fx/ : 2545 2.x PM «= 2‘ 6— m ax) fir/{X} : 2} 17” f m :— 2. (10 pts) Find the absolute mafimum and minimum values of the function 3(t) m t3 —— 1215 + 3 on the interval [—5, 3]“ 57+) -: 31‘5/2 Ma cry/14"»? PM «we, 15 5' (4—) M M M “’9' 21% {711 U - M 3 WW) _‘ i2. qua ’— 3 2«r2~2.+3 .—-- law-F , ‘ s H") war-{:3 “@142, .9 424+}: mg l/Jw 1L; Max/m I? Min 535 -—- m 2,. 3. (10 pts) Find the equation of the tangent line to the curve 2(33 + 3,13) m 911:3; at(1,2), ('3; ~74- mi drgfirwwfibmg 2(2XL7L331-y’):7(y1‘xy’) ZXszjl-rg‘ : 3y ng’ “L”; t: (Wag/“W r“ Ext-WE} y fixmzflq‘ Af (/,L}/ y’ 3-, iii“ .. inn-.21" " 4‘ (10 pts) Given f($) = 3:3 ~— 332 — a: + 1, fill in the following tbie. M J_ increasing on ’ - ' ' decreasing on concave up on + 9" concave down on / 5. (10 pts) A ladder of 5 feet long rests against a vertical wall, with the bottom of the ladder 3 feet away from the well“ The bottom of the ladder then began to Slide away from the wall at an initial speed. of 3 ft/s, how fast is the top of the ladder coming down at that moment? [M X(+),;Hj h. 1%: firm“ a; 1% mm M 7 911 [ii/55w ya») 15; 1% (WW- We [have Vii-t; 1 7/ S" 2m 2% ~ We + 2/! (31%) c: o for) r: w .39» KW} . . 7 W Xvi, M, {7 --> “V3 tit/5 ...
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