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CalcQuiz7Solns - Show all work I Find the derivative a...

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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 %: XKOan-H) 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 0+9") QnCHeW "<er / 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= 60-324: 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+”w|4 “Y 310958'“ damn .-:. 3'. +N ,5: R O“ O lb’t EOJC \1(1.3\‘¥06---l - 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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