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151.ex3.sp08.key

# 151.ex3.sp08.key - L Math 151 — Exam 3A —— Spring...

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Unformatted text preview: L Math 151 —- Exam 3A —— Spring 2008 Name Circle your TA and recitation day: Tracy McKay or Chad Vidden Tuesday Wednesday Thursday Show all work for full credit. Answers need to be reduced as much as possible. Answers must be Without negative exponents!!! 1. For f(x) = —3x2 + 24x a.(lpt) What is the domain off ? 11/ ﬂmé [3a] b.(2pts) Find the y-intercept and the x—intercept of the function? 75m ”Bx 242%: Z [2+3 2) 750090 7 z: 33' p0 y-intercept(s> = Jenni—[b] X—intercept(s) =~ m c. (5pts) Where is the graph increasing and where is the graph decreasing? I , AF ( )0: ~ g, X L} 4 Graph will be increasing over (- 0‘91 5’) [c] f /()0243 7 K". V - Graph will be decreasing over ( :7! To) ' , 1660 [AWN/It] dialer/.49 ’ 7’ El 2. Find any points at which the graph of f has either a vertical or a horizontal tangent line. a.(4pts) f (x) = 2x2 — 8x + 3 WW/ _> m 7”, AM] 271479 “5 lion?"” b.(4pts) f(x) = 101% — 7 ”0/76 3. (6pts) Determine the intervals on which the graph of the function is concave up or concave down. List any inﬂection points. f(x)=x3+6x2-—3x+4 (‘ “cl '3‘) / Concave down over__ ‘ , [4] inkwﬁuzx'; <1. ,2) co) 71W”): é] Iv/L Concave up over _ '/ - ,. , ’F (>050 % )5 ’ 2‘ Inﬂection Point(s) *2 2Q W> ’2. —F "(m , + I ( A) CoMmJM/t 5 m ”W “/1 4.(5pts) Determine where f' (x)= 0. Use the Second derivative Test to determine local maximum and local minimum of each function. f(x)=4x3-l2x2+7 /”MM (2 @{ Wok/51x32,“ Lay ==—;~.—:—::~:J1 {ﬂy—:0 ’1 [24722st = /1x(x~8 /—i———‘L Zlﬁzg’ZaZ ﬁax 75’7“”:— Z‘I/X M {1 (((1): 4/4? / [ﬂu/7201’) 3- ddAZW" 5%; v I l ﬂail/4.: < P ((0) ’0 ﬁlfléw/lz/L 75" 2 ‘5 ’77”’7\ V5; (7pts)f Find the a so ute maximum and abSolute minirnurn for each function on the indicated interval. 6,” ll / '"ﬁ’e/ f(X)=3x4 —16x3 on [—15] {/60: [1x1 4/sz f (x): 36x«76a)< 75 744/ AM/ ”w, m») &/ f’OUw @' /2x3~\$/arx?30 x2//2x~41?\ w I, c>xza m X:-’/ 3C (ﬂ);o [Inf/UL) PM): W). (ﬂu/Wei 9444”?) "View! {0 Med, 61, £14» (5: F/5))M/ (7/ f/V) / \$3 #4) m/M—{Mif (*1, (7(4)‘ iifél *“ 6. (4pts) Use Implicit Differentiation to ﬁnd the derivative of the following d 7--53=2 -—= 1 y x x dx () j Xx r- / 5' x 2‘ M 9 7 7. (Spts) If each edge of a «'s 1ncreasmg a ‘the co stant rate of 9 inches per second, how fast is the volume increasing when x the length of an edge is 6 inches long? Va- x3 511/ Law 7’73)‘ 7e " 5772 Ms/Jér. 8. (4pts) Find all the anti derivatives of the given function: f(x) = x6 — 8x3 + 536‘3 9. Evaluate the indeﬁnite integral. a.(4pts) fx3(x2 —-8)dx : /&5:5/)<3> ”W _ 4 1-; jﬁvﬂvvc 3/22qu +C/ 7"“! 5"‘ffgjcwn“mﬂf3”mmr b(4ptS) 1-83de ’ZJ “3.3K ieecJ'pl/é (ﬂkffgr 1/4 0544*;3M x/é 3e M;3gﬂs ...
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151.ex3.sp08.key - L Math 151 — Exam 3A —— Spring...

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