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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$)
2 “l X ’ FM“: ("Hm") + YawWU l7) ﬁll
k "r. W
xgﬂ
(c) M) =31
Y X ((1)) Find f‘45)(m) for ﬁx) 2 31:12:13. .f’fx/ : 2545 2.x PM «= 2‘ 6— m ax)
fir/{X} : 2} 17”
f m :—
2. (10 pts) Find the absolute maﬁmum and minimum values of the function
3(t) m t3 —— 1215 + 3 on the interval [—5, 3]“ 57+) : 31‘5/2
Ma cry/14"»? PM «we, 15 5' (4—) M
M M
“’9' 21% {711 U 
M 3 WW) _‘ i2. qua
’— 3
2«r2~2.+3 .—
lawF , ‘ s
H") war{:3 “@142,
.9 424+}: mg l/Jw 1L; Max/m I? Min 535 — m 2,. 3. (10 pts) Find the equation of the tangent line to the curve
2(33 + 3,13) m 911:3; at(1,2),
('3; ~74 mi drgﬁrwwﬁbmg
2(2XL7L331y’):7(y1‘xy’)
ZXszjlrg‘ : 3y ng’
“L”; t: (Wag/“W r“ ExtWE} y ﬁxmzﬂq‘
Af (/,L}/ y’ 3, iii“ ..
inn.21" " 4‘ (10 pts) Given f($) = 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
Viit; 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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 Fall '07
 RickRugangYe

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