Mid1-a-2009-sol - MATH 1300—MIDTERM 1-2009 NAME and I.D Instructions This midterm exam consists of 4 multiple choice questions and 3 long an swer

Info iconThis preview shows pages 1–7. 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
Background image of page 5

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

View Full DocumentRight Arrow Icon
Background image of page 6
Background image of page 7
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MATH 1300—MIDTERM # 1-2009 NAME and I.D.# Instructions: This midterm exam consists of 4 multiple choice questions and 3 long an- swer questions. The multiple choice questions are worth 5 points each, and the long answer questions are as indicated. The total value of the exam is 60 points. Place your answers to the multiple choice questions in the boxes below. All your work on the long answer questions must be clearly marked. You may use the backs of pages. For long answer questions, YOU MUST SHOW YOUR WORK NO CALCULATORS. NO BOOKS. NO NOTES. If you need additional scrap paper, it will be provided by the proctors. Answers: #1 #2 #3 #4 Multiple Choice Section Questions (1-4) Question 1 Calculate: , x3 w 27 11m w—>3 a: - 3 A) 9 B) 18 C) 27 D) 36, E) The limit does not exist. f“ 1 $-15: -.-_ @-3>(x + 3 x +3) 5. 3 U“ "é—Z—s = UM. x1+$x+5 = “guys-s29 3:093 *- 3""3 Question 2 Find the equation of the tangent line of the function f(9:) = (2m + 1)\/3a: + 1 atle. A)y=-2—:”f-% B)y=%+-§ C)y=""7’7“”-:E D)y=§+—§- E)y=—2—3—€-§ ________.__. ' ‘5 -\— CZ~+D-—\—7—-<r3 “4" 2 3x?‘ t \r— 2 :5. ,. 2: __ 2" “I __ ZS : .— __ .. 2S» \ ~> ‘3’ 1'; "71' ‘ Question 3 Use implicit differentiation to find % at the point (2,1) for the equation: 5323/ + 2353/2 = 8 A) B) CHIN) % C)-§- D)? E)” [31’ 4— LySZJ' ; [91' ,3 (2x5+ X’lj\)+ (231+ C(x33‘):¢ 9:) 2~Z-\+ 115‘ 4— 7.414» k-LLU‘ = o \ ‘...¢ :7 H+R5+ 2+— 93 a L _! w." a Question 4 Find the inverse of the function: 2 __ fix): 5+31 A) ~3m~1 B 230—3 323—1 —3w—1 2m—1 23—3 2m+3 3m+1 k: 1B)" 6) XLojk3>= 1‘7—( :5) ka3X =23i’ a) X3~Zj :“J’b‘ '7 (3(x-z>=—\ —3k _\-3 =7 ‘7:— x“; Long Answer Section Questions (5-7) Question 5 (12 points) Using only the definition of derivative as a limit, calculate f’ where = (3 — 2x)2 l‘é‘): LL... W e um 340+“)? -—($-Zx)1 Ax Ax Axe-’0 Aw“? 9' 2. NM: (’5 -— 2(k&4x))1: 3- [2(xk4x)+ quAx) °>—(‘lx- r24“. qf’a—C’xAx-v— “(@301 :5 “A (7,»2x)z= ‘>-12x+‘(x2 Z Q. (3.,uu4x))2-(av2x) s 2 -(24x-l— QKAA: 4- ’4(Ax) 9., LL,~ (Cm-Tl hams . 9 2. «(4x31 like. Av')b I“ _ Um ~11+9x+RAx =- -(2+9x ~ Ayn—>6 gar Mij‘I-on ' for in, I (4949 H CquL-J'fi“, Cgr! (AL—~14) Question 6 (14 points) Suppose that a deposit of 3, 000 $ is made into a bank that gives 5% interest. Suppose that interest is compounded 6 times per year. (a) {2 points) Write a formula for A(t), the value of the investment, after t years in this case. (b) (4 points) How much will the investment be worth after 3 years? (c) ( 8 points) How long will it take for the investment to triple? Co.) AG): (‘4’ a: )Wt wkkk til-Cams > T? ' 0+ 0.25.3616 (1 94 {u [/dwvvak \ L “Mada , 77,000 64' e EM ; '4) T)L¢~ 2A~ ('3'; z Pvt CW5... Cthcl- 7 0.05. ‘g gilm‘QA’ 91 &‘r A (3) = 72000 (l + 7— s...k(-i£w(—S~5 ) 5mgzmlw 4; —_ a,” :7 3 ’— ((+04?>H ,7 IKE - é*'{“(‘*°;'? *‘ 3f“ ‘n. ’7 ,7 e a l, was?) 3*" -— 74‘s Question 7 (14 points) 0 (8 points) A business sells 5,000 radios per month at a price of 300 dollars each. It is estimated that monthly sales will increase by a level of 50 units for each 2 dollar decrease in price. Find the demand function, as well as the revenue function. 0 ( 6 points) Suppose another business makes burglar alarms. Suppose that there is a initial fixed cost of 25,000 dollars. Suppose each alarm costs 90 dollars to make and that the manufacturer has set a price of 150 dollars per alarm. Write down a profit and cost function, and determine the breakeuen point. DUMMA fuel-Z.“ _._ 'DQQ (Lemar, 99¢, 'Hhraw)k (4)00 ' ‘3' 09¢) Mex (360 —Z ' S'coa + 4‘9) : 5 (239‘ 939:) “Wm M: X; a -6. " ’2'? 9. I): «3’; 4, (7L5 1“ (3.15m) 3.. , ‘3‘ 4. z - in + L ,3 l»: 51° C) ‘7: “f; + 990 ;_~ Koo _—. 7:900:- x-f = -;;+$'oox C00; 7,5,0” + 90x gr:L;E::h (KG): [90* (Z; -. 75mm 9) "7 @QO :2 RCx)~CQ<) = 60x -ZS‘.°°° *3 12%? “has. Bonus Question (1 point): Name the two historical figures who can both claim to have invented calculus. (\[wlm p [Aware Space for additional work ...
View Full Document

This note was uploaded on 10/24/2010 for the course MAT mat 1300 taught by Professor Blute during the Fall '10 term at University of Ottawa.

Page1 / 7

Mid1-a-2009-sol - MATH 1300—MIDTERM 1-2009 NAME and I.D Instructions This midterm exam consists of 4 multiple choice questions and 3 long an swer

This preview shows document pages 1 - 7. Sign up to view the full document.

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