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Unformatted text preview: Name: MA 1021  2005 A Term Section 10 and Section 14  October 6, 2006 Quiz —— Sections 4.4, 4.5, 4.6, 4.7 1. All students taking MA 1021 in A Term 2006 will take a common
ﬁnal exam at 7:15 pm on Wednesday evening, October 11, 2006, and
should have already cleared their calendar for this time. Students in
Section 10 and: Section 14 will write the exam in Olin Hall 107. No
calculators or notes are permitted on the ﬁnal exam. or FALSE (please circle the correct answer — 2 points) ’2. 3_ S, 3
. x2(x3__x) 7t (7: x): 7: 7C
2 11m 5 2 —1 veg—Hair x’ﬂczﬂc x2 1 2 7t"'—I __ (DCH) (ac—1)” 7LH
3. lim 2——=— )(QﬁxZ. (m) ('76—!) 7H2. TRUE r FALSE (please circle the correct answer — 2 points) 4. It is possible for an inﬂection point to exist at x = at even if the
function f (x) is not continuous at x = a TRUE or (please circle the correct answer — 2p01’nts) 5. Identify and sketch any horizontal, vertical, or slant asymptotes of the . x2 + 3x — 4
ﬁJnctlon f (x) = —. If any of theselhree types of
x — 2 asymptotes do not exist, be sure to say so and explain why. Draw
and label the asymptotes on the graph below. You do not have to sketch the function x ! (10 points) HoﬂZon'Ialt u“ E‘RTickL ‘. M. W . . T
llm £OQ) :: +06 1mm Pfk) c; #00 J NO HORIZONTAL ASYMPTD 5
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that the quantity z=xz+y2 is minimized. (10 points) ConCauIe DP £(Rr7pk’uq)
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a. 11m —5———3———~
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can think of! (12 points) ' ROOTS: ﬁfth—M? 0 (0,6)
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IIIIIIIIIIIIEIII CochwLr Dov1N (oNcAVla; UP Graph for problem #8 goes here 9. What are the dimensions of the cheapest cylindrical container which
has a circular base, no top, and has a volume of 327C cubic feet, if the material for the side of the container costs twice as much per square
foot as does the material for the base? (10points) Vt'llrziq '5 22‘“ 7) (a: "— \Q 0951': 5/; 2(2ﬁrm+ WV?” (:03: Nimitz(:DT m?— o<r<°° Ir
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 Spring '08
 TASHJIAN
 Calculus

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