Test Bank For Applied Calculus - 12th - 2018 All Chapters - 9781337291248.pdf

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u u u u u u u u u



Chapteru2


1. RecentlyuEstheruswamuaulapuinuanuOlympicuswimmingupoolu(theulengthuofutheupooluisu50u
meters,uandutheulengthuofuaulapuisu100umeters);uherutimesuforuvariousupositionsusu(inumeter
sufromuherustartingupoint)uduringutheulapuareugivenuinutheufollowingutable.u Heruapproxima
teuvelocityuatutimeut=3.2usecondsuwasu
m/sec.u Roundutou3udecimaluplac
es.

t(sec) 0 6.4 13.2 20.4 27.6 34.8 41.6 48.4 55.6 62.8 69.6
s(m) 0 10 20 30 40 50 40 30 20 10 0
Ans:u 1.563
LearninguObjectives:u Understanduinstantaneousurateuofuchange/derivativeunumerically.u
difficulty:u easy section:u 2.1


2. Letu u fu(t)u=utu2u +utu .uWhatuisutheuchangeuinu u fu(t)u betweenut=2uandut=5?
Ans:u 24
LearninguObjectives:u Understanduinstantaneousurateuofuchange/derivativeunumerically.u
difficulty:u easy section:u 2.1


3. Anuamountuofu$500uwasuinvesteduinu1970uandutheuinvestmentugrewuasushownuinutheufollo
wingutable.u (Amountsuareugivenuforutheubeginninguofutheuyear.)u Theuaverageurateuofuincr
easeuofutheuinvestmentubetweenu1980uandu1990uisu u peruyear.




Year 1970 1975 1980 1985 1990 1995
Capital 500 966 1856 3578 6876 13,233
Ans:u $502.00
LearninguObjectives:u Understanduinstantaneousurateuofuchange/derivativeunumerically.u
difficulty:u easy section:u 2.1


4. Ifu x(Vu)u=uVu1/3u isutheulengthuofutheusideuofuaucubeuinutermsuofuitsuvolume,uthenucalculate
theuaverageurateuofuchangeuofuxuwithurespectutouVuoverutheuintervalu1<V<2.u Roundutou2udec
imaluplaces.
Ans:u 0.26
LearninguObjectives:u Understanduinstantaneousurateuofuchange/derivativeunumerically.u
difficulty:u medium section:u 2.1


5. Letu x(Vu)u=uVu1/3u beutheulengthuofutheusideuofuaucubeuinutermsuofuitsuvolume.u u AsuV
decreases,udoesutheurateuofuchangeuofuxuincreaseuorudecrease?uA
ns:u increase
LearninguObjectives:u Understanduinstantaneousurateuofuchange/derivativeunumerically.u
difficulty:u easy section:u 2.1




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Chapteru2


6. Theufollowingufigureuisutheugraphuof Nu =uC(t)u,utheucumulativeunumberuofucustomers
serveduinuaucertainustoreuduringubusinessuhoursuoneuday,uasuaufunctionuofutheuhouruofutheuda
y.u Aboutuwhenuwasutheustoreutheubusiest?




A) 11am
B) 1pm
C) 3pm
D) 5pm
Ans:u B
LearninguObjectives:u Understanduinstantaneousurateuofuchange/derivativeu
graphically. difficulty:u easy section:u 2.1




Pageu 2
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Chapteru2


7. Theugraphuofu yu=u fu(x)u isushownubelow.u u Arrangeutheufollowinguvaluesuinuorderufrom
smallestutoulargestubyuplacinguau"1"ubyutheusmallest,uau"2"ubyutheunextusmallest,uandusouforth
.

A. fu '(uA) B. fu '(B) C. fu '(C) D. slopeuAB E.u u 1
F.u 0




PartuA: A.u u 6
PartuB: B.u u 3
PartuC: C.u u 2
PartuD: D.u u 4
PartuE: E.u u 5
PartuF: F.u u 1
LearninguObjectives:u Understanduinstantaneousurateuofuchange/derivativeugraphically.u
difficulty:u easy section:u 2.1


8. Estimateu u fu '(0)u whenu u fu(x)u=u3−xu.u u Takeusmalleruandusmalleruintervalsuuntiluyour
estimateuisuaccurateutou3udecimaluplaces.uAns
:u –1.099
LearninguObjectives:u Understanduinstantaneousurateuofuchange/derivativeunumerically.u
difficulty:u medium section:u 2.1


9. Givenutheufollowingudatauaboututheufunctionuf,u u estimateu u fu '(3.3)u.

x 3.0 3.2 3.4 3.6 3.8
fu(x) 8.2 9.5 10.5 11.0 13.2
Ans:u 5
LearninguObjectives:u Understanduinstantaneousurateuofuchange/derivativeunumerically.u
difficulty:u easy section:u 2.1




Pageu 3
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