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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
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 Fall '08
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