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Unformatted text preview: Name: MA 1021  2006 A Term Section 10 & Section 14 _
September 14, 2006 Quiz — Sections 3.2, 3.3, 3.4, 3.5 1. All students taking MA 1021 in A Term 2006 will take a common ﬁnal exam on Wednesday evening, October 1 1, 2006, and should
have already cleared their calendar for this time. 01' FALSE (please circle the correct answer — 2 points) 2. For two continuous and differentiable functions f(X) and g(x), the
derivative of their sum [ f(x) + g(x) ] is the sum of their derivatives,
the derivative of their product [ f(x)g(x)] is product of their
derivatives, but the derivative of their quotient [ f(x)/g(x) ] is NOT the quotient of their derivatives. Derwaﬁw .F a. molar! is Nor) ’ﬂ‘e from! we} ._ (if; deep/oh we;
TRUE FALSE ease circle the correct answer — 2 points) 3. The maximum value of a function on a closed interval [a,b] must occur at a “critical point” — those points where the derivative of the ﬁinction is either 0 or does not exist. (00 w J OCcur af ~6an b}nﬁ)
_""\ TRUE FALSE lease circle the correct answer — 2 points) 4. The derivative of the ﬁinction f (x) = x7 + 7x6 — 32x — 5 exists
' for all real numbers x. ‘I/ or FALSE (please circle the correct answer — 2 points) 5. In HW problem 52 in section 3.2, Susan’s weight decreased as she
climbed higher up the mountain. @Or FALSE (please circle the correct answer — 2 points) 6. Find the derivative of each of the following functions (5 points M) 2 x "9 U u’v— UV I x :— _ "—3
a f() x2—10x—21 V V1 x) " (XQ'vID'K—‘liyL b. g(x) = 3x7 + 4x“4 + «5:— — 816”2 —— 3x“2 0. h(x) = (x2 + 3x)10 (x — 5) WM: Io (x1+3x)ﬁ(1x+3)(7ﬁ~5) + (X1950 (I) . . i .
7. For a partlcular functlon f , you are glven: f(x)=Ax3 +Bx? +Cx+D
f’(x) = 6(x—1)2
f(0) =17 Find A, B, C , and D {5pcints} PM: 3Axﬂ sz+C= éﬁzllwé
BAsé 13$ 1471
2.3:”[1 737 Bcﬂé
6:6 Dcwffo): 17 8. You are given: Dx [sin x] = COSx . ,,. \\6 _ If y = (Slﬂ[33€)) , ﬁnd "6;; (5points) s _
01:! 2 g, ( 5:‘n(92<)) (6‘35 5") (g)
Ax 9. Find the absolute minimum and absolute maximum of on the closed interval [1, 4], givgn = x3 — 6x2 + 9x. (10 points) 197x): 3x71 WM? 1‘— 3(X1‘fw70
c— an xZlﬁx—a) ocwr ulna“ Plfxl :3 0 Cﬁhi‘al Posnh‘
or uhm .qu) duﬂnm (“5+
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T *l‘s é“ absolUlc mm1muw~ X: —l
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l \ abjblUlc Maxgluon. X21 J'L. 3 b / L1 '4 10. A stands atop a 10 foot ladder, so he
can see what's on the other side of the
wall. A's weight causes the ladder to
slide down the wall, at a constant rate of
4 ft/minute. Soon, the base of the ladder
E55; will hit B, who is exactly 6 feet away X from the base of the wall. How fast will the base of the ladder be moving when it
hits B? (10 points) dx, _,4 F‘s/W; dl'
A __ 9
Whol I; __‘_‘l 7 winen («J—a5 '
all
_r_
615 _ 43 all xii—(1": [60 =7 9: (ion 4:2)
Alt ’ X l"
= .11.. 4 F7 (loo—K1)?”
' 3
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Mar/n ‘1’; E, X: 8 :3? it, ‘3 (é)( ol’r 9
Anew6mg? 3 “Wk ...
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 Spring '08
 TASHJIAN
 Calculus

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