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Unformatted text preview: 7 Math 201  Test 2 ,
Section: A Name: I In problems I, 2, 3 and 9 indicate your choice by circling the preceding letter. Answer only is required on problem 12. Work will not be
graded on these problems. For all other problems, show appropriate work to receive credit and place your answer in the blank provided.
Point value is listed fol lowing each problem statement. Calculators are not allowed on this exam 1. Find the slope of the line that passes through (2, — 7) and (4, — 3). (3 points)
A. 5 mi «Quail! V [3+1 .
(1—5 4%,; — D.  2
E. None of the above 2. A line perpendicular to the line with equation 2x w 5y + 3 = 0 has slope of: (3 points) A.5 9,1 m '2 .
B. 2/5 ‘4" m
C.—1/5
D. 5/2 None of the above A. x = 2 . a . WW x: r
C. y = —3 :
D. y = 2 E. None of the above 4. Find the equation in slope—intercept form of the line that passes through the points with coordinates (1, 4) and is parallel to
the line with equation y = 2x » 3. (5 points) M
petrol/lac] 59 so.er SIOFQ‘ mid ‘i’td'ii’b La; 5. Suppose that a manufacturer will place on the market 60 units of a product when the price is $10 per unit, and 80 units
when the price is $12 per unit. a.) Find the supply equation for the product assuming that price p and quantity q are linearly related.
(State with q as the independent variable and p as the dependant variable.) (5 points) ,. l +
(01),.A' q  M4
6 J 0 am (g0; 50 Van _ w a i
o ~ ~ ' ,
3 I go (3 0 10 91435145 lawn.
gaggle em Liz—.4 b.) Determine the price per unit when 50 units are supplied. (3 points) Peso) egg5O +4 25%» "c: a WWW“? a
50 and; we Swirl 8. Graph the quadratic function below. Identify the coordinates of the vertex, the x and y intercepts, and state the range of the
function. Show appropriate work. (8 points) y=ﬂx)=x2+6x+5 Coordinates of vertex: :4) Q _ . "“ 35 3...,
attin’tercept(s):("j—2 O ’(‘5 O) J 3 3 \ yintercept(s): O 5 3 +3 (9 a...
Range: [:— 4 w) ) 4 ____7__~__._ .> x
y“ 4 thé'x +5 ‘1'. (X (X421) 5..., Xi‘ij‘lg are 4%! {Her 3 7. The demand function for a manufacturer’s product is p =f(q) = 200 «— 26], where p is the price (in dollars) per unit when units are demanded per week. Find the level of production that maximizes the manufacturer’s total revenue and dete
this revenue. (6 points) 434%; re we 
.14 we a . ,_ ‘
J ( > )5 p ‘ 0L Revenue at maximum: V(
p: p at (“C/J acct/ifs M , z. .1 a
F« (Jo5mg? >CL 300% —~ L! w .31 +0100 01+ O 03— :19— UV; *3 L, ; A00 4:10 <9“ 8. Solve each system of equations below algebraically. (5 points each) 1 I a.) 2x+y=3 7. X _.._.._.._.__
3x—2y=—l3 Y y:5 4 3X“Q(3eD\XD: ’ 13 YCEJQX H
3X  Gregor 3 “13 334(1) :3‘9 ‘5 p 5b 9. Solve the following system of equations for x, y, and 2. Circle the choice below that represents the sum of the values
found for x, y, and z. (5 points) H r ,
x+y+z=2 UVny I 0109 way
xy+z=2 : *9 +Y'VZ xy—z=0 z 0‘) “H
X .N "'3 *‘V‘é ey mam—7) so uJ¥/7(PE{"/{~;*X&Ytb
A) 2 B)~2 C)~l D) 1 E) Answer not. given 10. Find the break even quantity for a product whose Total Revenue , YTR, and Total Cost, YTC, both in dollars, are shown
below: (5 points) YTR:(2‘1“4)9 break (ix/{3% {yeti/ll” ocwa Wilt?”
YTC :64 + 49' . YT‘R : yea —l———: , I. C 9
ll. Graph each function below on the axes provided. Label 3 points on each graph with their coordinates. (7 points)
a.) y : ﬂx) = 2" b.) y = ﬁx) = log 2 x. 12. Evaluate each of the following: (2 points each) a.) log327 = 3 b.) 10g (.00001)= ~ 5 c.) logz—gz— = ’5
_. 3  3 _. H J" __‘ 31'  3 1’on 3 ' 3 by 13‘5 _  5 3—: : (3'5 3'0 L35) 3; ~ l a")
. I
d.) In ell= 4 i e.)log71: O f.) 3'°g3]° = 5
'H
’03:: 520 1‘ O 11] 1/6 = ’ 1 lOglM = ’2' In J— : H __ F'
" 1.5.3 ' w “a .I _
In 6:1. I _ i ’4 log“? [6 lﬁjmwﬁ) )n 6/; 1. 3/; 13. Express In x + 2 111 y — 51m 2 as a single logarithm with no coefﬁcient. (4 points) :: In x All“ 73%;” Z53 lnx+\h%g b.) logx 2 log4 + 3log2 ’ _ XSBQ
‘03 x a: \03 4 + raj? ———~
loax : loj 1033:: lot] 50 x33}
c.)log4(x+6)=2—log4x I ' lawman?” :; (X+é)()«) :41 X145 ya;
[leggmwoa = 3 Yaléx : ,4 x”: ~55 doesrll Work) 4103130+6XMZ 1 ngéxhlé :0 50 xva
M.(X4:2)<x<a)m_ ...
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 Spring '08
 SMITH

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