Exam #2 (B) - 7 Math 201 - Test 2 , Section: A Name: I In...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
This is the end of the preview. Sign up to access the rest of the document.

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 10 914-35145 lawn. gaggle em Liz—.4 b.) Determine the price per unit when 50 units are supplied. (3 points) Peso) egg-5O +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« (Jo-5mg? >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 x-y+z=-2 :- *9 +Y'VZ x-y—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_ ...
View Full Document

Page1 / 4

Exam #2 (B) - 7 Math 201 - Test 2 , Section: A Name: I In...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online