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s3f09 - MATH 111 I Sample Exam 3 Exam 3 will be given on...

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Unformatted text preview: MATH 111 I Sample Exam 3 Exam 3 will be given on Tuesday, October 20. Bring your ID and calculator to the exam. No TI—89 calculators. Office Hours Monday, October 19: 9 am — 2 pm and 5:15 — 6 pm in 403 LeConte Review Session (optional) 6 — 7 pm in LeConte 412 (NOT in our classroom) This exam covers topics from Rationalizing the Denominator to Function Compo— sition (not Inverse Functions). 8. 9. . Solve for :r. . Solve for x : 3:132 —+- 259 = 4. 11:3—5xg+4x:0 Simplify your answer as much as possible, but do not use your calculator to get a decimal approximation. Solve for :3 using the method of completing the square: 33:“2 + 2433 + 3 = 0. You must show your work using this technique. Factor. 622 - 5462 Factor. 103 + k3 Factor. 270.3 — 8b6 Factor. $3 + 6m2 + 43: + 24 Factor. 51:3 — 3:1:2 — 4m + 12 Factor. 69:2 — 41$ — 56 10. Rationalize the denominator and simplify if possible. a _2— b “4 o \/_—\/E . v5 80.132 11. A = B + 2 C 2 5B — 9 Write A as a function of C. 12. Solve for 3:. 6:1:2 2 18m 13. Write the ahk form of the equation of the parabola with vertex (1, —5) which goes through the point (3,. 7). 14. Write the equations for these graphs. l t. a 15. f = 4(2: + 3)2 — 5 is the equation of a parabola. Identify the vertex. Is the vertex a maximum or a minimum? Write the equation in she form. 16. Find the quantity q (number of items) which maximizes profit if the revenue and cost (in dollars) are: R(q) = 5g — .003q2 and C(q) = 300 + 1.1g What is the maximum profit? 17. First is the graph of y = f (35‘). Write the equation for the second graph. 3=th 18. Find the vertex of this parabola: fir) = —3r2 — 12x — 11. Write the equation of this parabola in ahk; form. 19. Find x and y intercepts. (Write them as points.) 3; = —(4:I: + 5)(.r — 1) 20. The demand equation for a company is g 7- —6p+780, where q is the number of items and p is the price in dollars. What price should be charged to maximize the revenue? How many items are sold at this price? What is the maximum revenue? 2Lfoa=7—2m [email protected])=5—4m Fmd(fmfl@)mflsmmmy {i‘xPrT'H HI .I gamrflé’ EMA/r 3 6‘3. (¥\(V—Lf\(><*l\ :0 y’a—EJ): +‘1‘2L3 A: ¥“W}Q\ Xn‘ :0 X: 5'} ijm (U I f X;% x-I L f\ 3 9 if? 5’1“? ) Hf:— :- J"; I " er The “uh” 2: Eon", Lara S» F43 9» 5L!) “Hf” ><= i;: :\ 3%} +ZXFL+ :0 I (“W {“" #1 j: u’ trwmmx __ 4:: “6% 2C3) :1 '2 Lxficzficbfit |3\ r -Qtsuij __________——————-———'—'——'___——-—' e (.0 ___ 2(1-116—3) “"k :6} ...— ______ -——-—-—-------—-‘3 .x'L-"U’r'T’H' In: ’7. i8- 7. y 3 {The '3 + q (“A )( -; Li“ 1' rd 112.. q mm 5L: / *7; I 8 \ m—S'i'fl ——H _ ##T; " 1-1. ' LX’ 313(‘x+§3:o In; (¥*3 (M? (fl 17050:) r ‘T' (o)?- +Lfi'fg-Lf Lgampic‘ £Xum 3 L} +6”? firpr _._—- M AWN-mew 6*" + m ' I}; .___..-—-—-'—'— :; :4"va " a; R T M m b 05‘ ” ck“ \\ ” 1’ 2- " '5 LP ’ J 2: [raj ‘v" c2 0L 5 . I Es 1, f i 'K/ #— - - I 5 3 10 I) .r J— ‘l 3 w \/ (gfib (SL- :1 6L. 5 ‘f§!'2'+.3 Va" 3‘?” CL I; l 0. 5 (l V3353 5L JL-fib .- P.._—-—-—"""—'_ 3.x V 2 61' d 3 y ,- - x Wt" w L252 If £2.15 [NWT 1%: i) to! I m N 9‘ 11 ME ax r m r a C. ’ 56.4.; 4! 5.,va a” 1; *“ l ‘ V 'H. b" [NH—W M J: {3, 13M :aCxJJL 7‘ é Ms V'EF‘LW (M gamlalc 5mm 3 Prijef‘i, \ _ var-Hy“; (ll-'3’) (00mi- {3 (3‘7\ 1n k x 1cm Plug m numbers “(mi 4W 0.- 7 t a ( 3 — I Y ~—-§/ [.7— :: 0x C¢}Y [l :— a 2 w” "5 12.6K— so ngfl -= 3<x HA #5 N. a. a: (VASE 4p [0, a: 6:; “'5’,” C" EZMGHAI—H a: Ix"§)+9\ )g. {Lu Utaer L3 (—3, *5} SANA ail-[C Fawolfi [ L55 U) St hfl—L’ ) Uflf‘kX 1;; 0- W‘Ilfi Mum-- (oo n+- [’9‘ ’5 {OM-17'ij WQUAT {7,09ng “5‘! *: ‘ff ((x+3)(x+353 ‘5' I—fé)fi’—+®>«+‘?\ #é’ twp” +39 —e:”’ H‘x“ + 9% +3! {hPrTH HI f Sfiklole gxam Mmer‘j. [(1 i5 fat-ILL, «*9ka fl-GkKi‘Mi-Ees R k ‘5 ‘le, Maximum {‘EuE/lpuflh _ I“: if ..—- / 90» i ;(*<9\ I w ...
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