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Unformatted text preview: Show all work!!!
I. Find the derivative:  a y=x ,ﬁndg}:
air
95; 12W”
,Qnas W cm (
ﬂnﬁ: XMX %: XKOanH)
a“? (Wﬁf (XW A"
i5 3%: t W + W
1% :Ttééz ,Qli
h. y=rln(1+e'),ﬁnd%
. \ .6
£25; \‘va(\+€f3+t ﬁg:
__ t + fat
$3 WOW) H93“
m *7
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/ Calculus I
Quiz #7 — 3.5 — 3.9 Name: 2. If a ball is thrown vertically upward with velocity of 50 feet per second, then after t seconds,_the height
of the ball is given by 3(1) = SDI—1612 .
a. What is the maximum height reached by the ball? moﬂrm’lghl is redwdxownv6+3=0 Max Wt: 5 29 ‘2.
vea=s'ec3= 60324: g (—3) = 50(t—E)—lb (E)
eo—azt =o
50:5ch *9“ “06159
75: 60 z 4: about 406591
b. Wh‘géis I}? velocity of the ball when it is 14 feet above the ground on its way up? On its way
down?
SGci=V+iCeei t& mums...
Sot—lb+”w4 “Y 310958'“
damn
.:. 3'. +N ,5: R O“
O lb’t EOJC \1(1.3\‘¥06l  Moos ’3 "”‘d ‘% 0= 2 (We 25H?) Jc _ 1'5in2‘5 were \1 (33m 33) =
' 2(8) 40.05945 mo ”“6 “F 3. At noon ship A is 100 km west of ship B. Ship A is sailing east at 20 kilometers per hour and ship B is
sailing directly north at 10 kilometers per hour. How fast is the distance between the ships changing at
4 pm? Write your answer in a sentence. (hint: think about whether your rates are positive or
negative for this problem!!!) A )g B . 9%
V lo Bﬁ’ii‘l‘iﬁ‘ket
ariab s: x ) f it
mom 3? : 10W” 0} 4PM; it: loo—iomﬁlom
“it: [00040 km ...
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 Spring '08
 Williamson
 Calculus

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