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Exam #2 (A) - Math 201 Test 2 Section A L L ‘...

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Unformatted text preview: . Math 201 - Test 2 Section: A L L- ‘ Name:_&fiafi__. 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 following each problem statement. Calculators are not allowed on this exam 1. Find the slope of the line that passes through (2, — 3) and (4, — 7). (3 points) A. 5 ' 13.2 3‘74"3 “7+3 “'4 ,_. 1M .: me. 1 .5 “.2 0—5 4 Q. 4 Q E. None of the above 2. A line perpendicular to the line with equation 5x — 2y + 3 = 0 has slope of: (3 points) A.5 . -—l w ~ a w 5/; 0—1/5 3.» 0.5/2 ““121”,? SX'QY)’ ”0 M‘E/ E. None ofthe above /3 JV: 5x+3 A :“3/5 :/S x +35 3. What 13 the equation of a horizontal line passing through the point wi h coordinates (~ 3,2)? (3 points) B.x=3 E. None of the above A‘x=2 horaéew‘l'ai. Ma )/:? 4. Find the equation in slope—intercept form of the line that passes through the points with coordinates (l, 4) and is parallel to the line with equation y = 3x — 2. (5 points) )l C." i )(F i paralifil 81> Sen/we SLOPC/ 7/:3Xi’b loti- 'CB‘i-rb 5. Suppose that a manufacturer will place on the market 80 units of a product when the price is $10 per unit, and 100 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) @ojiOJhM (1035122) cream HAL/liné m: Ia—io : 2.. -4. P: fowl? 9’: 11-92 +& b.) Determine the price per unit when 50 units are supplied. (3 points) [0(50311—1—Jaig 35*):7 Wp/lCfilsgi O [OW Uni-1L 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=f(x)=x2s~6x+5 wcix):(>(3_.é>(+q 345-?) Coordinates of vertex: gill) ‘FCAB Z (Xm-B) 3—- A} xintercept(s): Q 0) t (1;- O) yintercept(s): i015) gc‘) : ( X *5 )(X _ 1) Range: E" 4’ W) 7. The demand function for a manufacturer’s product is p =flq) = 200 — 29", where p is the price (in dollars) per unit when q units are demanded per week. Find the level of production that maximizes the manufacturer’s total revenue and determine this revenue. (6 points) i’oi'ai Pei/swat is {Anti Pip-Ct Quantity at maximum: 5 0 Revenue at maximum: $5 I) :5? 0 2":ch goo CV43?) C(50) "3 5000 m. r: Jami ‘ 01%; D 5 face c9?» Max occurs 03' J?" 5: ”2.39 "i. +3953 : 5C) 8. Solve each system of equations below algebraically. (5 points each) am $.36. a) 4 4 a. 2x + = 1 X {I \— ) y _ y :2 i-Ex 3x —-2y a. - 9 Y C: " i 3X‘J(i‘;\)<'>:~— X131— _Y=?” ‘ 2(x9..;x-3):o i 50‘ 3364403 0 or X—~"i 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) (3 x+y+z= 2 $CQ§Y m x-y+z_-2 XC-Q +374“ x-y-z=0 X I Y+Z Y+£1-2+/eé Elk. A) —2 C) l D) -1 B) 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) '19 la v __,= Ym=(2q~5)q ”W even WK“ Yea, (aq'5,)%:iao+5% $712“ Wt «ta—[wars gel/2 fliofi '100 3b 1 ' :5 Ole 5133+ {MQLt SEVLSQ 5:: 11. Graph each fimction below on the axes provided. Label 3 points on each graph “lath thelr coor inates. 7points) a.) y: fix) = 3x b.) y =f(x) = loggx. 12. Evaluate each of the following: (2 points each) a.)10g216= [l b)log(000001)= “- é 6mg % : i ll )033 3“ : 4— le to E I ‘Q [03: J"5 3 .( (1)11] 6‘7: 1 ‘ e ) logs 1 = O f.) 4fog49 ___ a h l) 1 (035 50 “I, O ‘— __.. 1 g.) 111 lie: 1 h.) £0ng 9 = <3 i.) In I = 01 U H In 6/1 1 '1‘ ’Uj‘é (149$ : 49‘ ’vw {Cl/3 13. Express 2 In x + In y — 3 1n 2 as a single logarithm with no coefficient. (4 points) 1 IA} 4" “’7 7mg} 7.: ’flX;Y#)Y\E3 J -‘ I 15.‘ Solve each equation below: (5 points each) b.)logx=log3+2log4 ‘03 )6 v #303 3 +16 Qj [fa 1°93: )33 logié [63k : lane]! 31g 0.) log4(x+ 6): 2- )log4x >4 u _i.\ 0Q >< \\ 4; 0% ...
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