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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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 Spring '08
 Carlson
 Algebra, Quadratic equation

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