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Unformatted text preview: .MATH 112 SPRING 2009 EXAM ONE 90 Minutes Name: Instructor and section: . There are 12 problems on 11 pages (counting this page). . No calculators, notes, or books are allowed. . Give exact answers (fractions, square roots, etc.). Decimal approximations
may not receive full credit. . You do not need to simplify your answers unless told to. Answers such as
_ 32x/25 + 6 m 12 are okay. . Use only the scratch paper provided. Work appearing on your scratch paper
will not be graded. ‘ . Show your work and make your methods clear. Unjustiﬁed answers may
receive no credit. . Put your ﬁnal answer in the box provided. Eroblenﬁossible Score Eur Score I goooximmgxoom .7 H
H 15
15
TOTAL 150 )_..\
[\D 1. (15 Points) Vital Errors
(a) Simplify $1/4(2x)'1/3 I Answer: I . (b) Factor completely: 6t2+17t+5 Answer: (C) Simplify completely: (cl2 + 3Y1 2. (10 Points) Solve for x: x—[7—(2x—{8—x})}=12. 3} (10 Points) The points P(—1, 2) and Q(——5, —4) are the endpoints of a diameter of a circle.
Find the center and radius of the circle. l Center: . l Radius: l 4. (15 Points) Find the equation for the line that is perpendicular to x — 2y + 4 z 0 and
passes through the point (4, —3). 5. (10 Points) Find the slope of the line which connects the point (—2,4) to the point
(—2 + h, (—2 + h)2). Simplify your answer COMPLETELY. 1 Answer: I 6. (15 Points) (a) Find the intercept(s) of the graph whose equation is x = 4 ~ y2. xintercept (s): y—intercept (s): (b) Does the graph of a: = 4 —— 3/2 have symmetry to the (i) the m—axis? Yes No
(ii) the y—axis? Yes No (iii) the origin? Yes No (c) Sketch a graph of the equation. Clearly LABEL all intercepts. 7. (15 Points) Specify the center and radius of the circle 4x2+8x+4y2—4y+1'=0. .8. (10 Points) Solve for 33: 3
l2x—4[+Z—O 9. (10 Points) Find all real solutions:
3:122 + 6x — 4 = 0 ' k ] 10. (10 Points) (a) Find the discriminant of the equation 52:2 — 73: + 3 = 0. How many real roots does
this equation have? ‘Discriminant: bumber of real roots: 1 (b) Find the value(s) of k such that the'equation [€332 + 4x — 3 = 0 has exactly one real
root. 11. (15 Points) Solve the following equation: 34/3 ~552/3 —36 = O. 12. (15 Points) In a certain rectangle, the length eXceeds the Width by 3 inches. If the length
is increased by 5 inches, and the width is decreased by 3 inches, the area of the new
rectangle is same as that of the original rectangle. Find the dimensions of the original
rectangle. [Original Length: ‘H:Original Width: ...
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This note was uploaded on 02/07/2012 for the course MATH 112 taught by Professor Carlson during the Fall '08 term at Wisconsin.
 Fall '08
 Carlson

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