04spex1 - MATHEMATICS 112 EXAM I Name M Instructor and...

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Unformatted text preview: MATHEMATICS 112 EXAM I February 24, 2004 Name: M Instructor and section:_—*________*_ 1. There are 11 problems on 9 pages (counting this page). 2. No graphing or programmable calculators are allowed. Scientific calculators are allowed but are not needed. 3. Give exact answers (fractions, square roots, etc.). Decimal approximations will not receive full credit. 4. Do not simplify your answers unless specifically told to. Answers such as 32 x/ 25 + 6 12 Answers such as 350+ 4 = 7x — 2 require more simplification. x = are perfectly okay. 5. No notes or books are allowed. 6. Use only the scratch paper provided. 7. Show your work and make your methods clear. Unjustified answers will receive no credit. 8. Put your final answer in the box. problem possible score your score 1. Solve the inequality for :3. Write the answer using interval notation. a) (5 points) I4 — 533| > 2 Answer: . b) (5' points) Find the sum of the first 451 terms in the sequence 29 28 10, g, 3, 9, Answer: 2 a) (3 points)Find an equation of a line that passes through (4, —3) and is parallel to the line 2y 2 cc. b) (5 points) Find the area of the triangle formed by the line 103: + 183; = 45 and the coordinates axes. , Answer: I I 3. (5 points) Given that a1 = 1, a2 = 2 ; an = 3an_1 + 2an_2 when n 2 3 Compute a4 Answer: 7 i 4. (9 points)Find a quadratic equation With the given roots. Write your ansWer in the form A922 + Bx + C = 0. x1=4—\/§, Answer: » 5. a) (4 points) Find the midpoint of the line segment joining the points, simplify your answer as much as possible. 2 1 P(-—§, and Q(37r, 21). Write the exact values. Answer: b) (5 points) Solve $4 — 2x2 + 8 = 0 l Answer: ' 6. (8 points) For the given circle, 502 + y2 —- 102: + 4y + 22 = 0, find a) the center and b) the radius. Answer: . . . . 3 3 ' 3 ‘ 7. (8 pomts) Fmd the sum of the serles, Z + E + 3—6 + . . . 10. Determine the domain of the given function. a) (4 points) \/x+8 3 x— y: Answer: b) (4 points) Given the line 3; = 3:1: + 6, find the intercepts of the line and the Use these intercepts as endpoints of a line segment. Considering coordinates axes. ent just obtained, reflect this line segment about the y—axis, and only the line segm then reflect again about the x—axis. Graph your result in the space provided below. 11. (5 points each) Simplify as much as possible the following: «3 2¢§_ a) 2 + 2 _ fi—l W‘i—l Answer: b) 3/m9y5210 = l Answer: I ...
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