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Unformatted text preview: Name: MA 1021— 2008 A Term Section A ~ 
September 18, 2008 Quiz— Sections 3. 2, 3. 3, 3. 4, 3. 5 1. All students taking MA 1021 in A Term 2008 will take a common ﬁnal
exam on Wednesday evening, October 15, 2008, and should have already
cleared their calendar for this time. .r FALSE (please circle the correct answer — 2 points) 2. For two continuous and differentiable functions f(x) and g(x), the
derivative the1rs[ f(x) + , , is the sum of their derivatives, the :
' l but the; (ﬁr . I erlvatle of thir quotlen f(x)/33;){() ]' sWONie qotient ofth1
”a? 42:8 derivatives. ____..____.._.______—w——u._—H___.______m_._m____—.
_____._._—____.__—..—_.._..___——,__——.__———r__._u.__—__—_m__ 3. Which of the following Kryptonians became Superman when he arrived on .
earth? (please circle the correct answer — BONUS 2 points) ' Wife r; “a 5‘23”“ W“ c) LoxEl
Jaw El We; his ‘5'”!ng d) MotEl
e) NotEl __h—___—.———__—_,——————Hm.______—_,__m__
_—___.m—u__.__—m______—______————_—m__.n.___ 95:42. ,
dx alr lease circle the correct answer — 2 points) 4. The Chain Rule can be expressed as: in vealed D 5. Find the derivative of each of the following functions (5 points ﬁg!) , geg
Am 7 8 _ 5/7 2 2
a. h(x)—x —F+7r ——3x X b. f(x) = (x3 — 6x)7 pm a: '7 {xiwméﬁx‘” e) x = WW" é 7‘ " W “" ( 3 6W. 2/774, 22; w éx {me Wis 6*» Comm/Ff,
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result in the smallest and the largest surface area for this cylinder (give one
answer for the largest, another for the smallest). (12 points) ' Note: The volume of a cylinder with base radius I” and height h is
given by 71' 7'2]? and its surface area is given by 270% + 271' r2 when: new ﬁes/lair uh oiemam {diff} ﬁwm'i Q‘Kls'i
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and depth 10 feet is being
drained. The pool is
completely full to start.
The water level is
decreasing at the rate of 1
foot per minute. What is
the instantaneous rate of
change in the volume 'of
water in the pool alter 3
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calculate the maximum and minimum function values. (6p0ints each) a) f(x)=2x3+3x2—36x+77r [—233] am Cnﬁaaa’ palate;
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wziw *************** ENDOF QUIZ *************** ...
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 Spring '08
 TASHJIAN
 Calculus

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