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### 103quiz2

Course: MAP 103, Fall 2008
School: SUNY Stony Brook
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II Quiz - MAP 103 Date 07/26/06 - Duration 20 minutes NO CALCULATORS SUNYSB Id No. : Name : Problem 1 Solve : (i) x 2 and x 0. (ii) x 7 1 and |x| 4. Problem 2 Write an equation of a line that passes through 1) (1, and (2, 3). What is the slope, y -intercept and x-intercept? 1 Problem 3 Graph the union of y x and y x + 2 in a scaled set of axes. Are the two lines in question (i.e., y = x and y = x +...

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II Quiz - MAP 103 Date 07/26/06 - Duration 20 minutes NO CALCULATORS SUNYSB Id No. : Name : Problem 1 Solve : (i) x 2 and x 0. (ii) x 7 1 and |x| 4. Problem 2 Write an equation of a line that passes through 1) (1, and (2, 3). What is the slope, y -intercept and x-intercept? 1 Problem 3 Graph the union of y x and y x + 2 in a scale...

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SUNY Stony Brook - MAP - 103
Homework II - MAP 103Due Date 07/26/06Problem 1Solve |2x + 1| 7 and graph it on the number line.Problem 2Solve x + 3 &lt; 5 and 2x 1 &gt; 4.Problem 3Plot each ordered pair on a rectangular co-ordinate system and determine the quadrant in whi
SUNY Stony Brook - MAP - 103
Quiz I - MAP 103Date 07/19/06 - Duration 25 minutesNO CALCULATORS SUNYSB Id No. : Name :Problem 1State TRUE or FALSE providing reason(s) : (i) The multiplicative inverse of 1 is 1.(ii) The additive inverse of 0 is 0.(iii) 2( 5 4)( 5 +
SUNY Stony Brook - MAP - 103
Practice Homework II - MAP 103Problem 1Simplify :x (i) x2x3 x3 x3 (ii) 3x+5 3x6 5 x3 x2 1 4 (iv) x 2 + x 2 + 3x3 x x8 x+6 2x+5 (v) x + x1 + 3x+1 .(iii)x1 5x+7.28Problem 2Solve :x (i) 45 + 3 = 3x 2 10 2x 1 (ii) 2x1 + x = 2x1 1
SUNY Stony Brook - MAP - 103
Practice Final - MAP 103NO CALCULATORS SUNYSB Id No. : Name :Answer problem 1 and ANY 8 of problems 2 to 10. All working must be shown to receive credit.Problem 1Answer true or false providing reason(s) : (i) ( 9 4) is irrational 7 (ii) 12
SUNY Stony Brook - MAP - 103
Practice Homework I - MAP 103Problem 1Classify the following numbers as rational or irrational (In case your answer is a rational number, specify whether it is an integer or not) : (i) ( 7 5)( 7 + 5) 4 (ii) 12. 3 6 (iii) 2 + 1 + 1 + 1 3 3 3
SUNY Stony Brook - MAP - 103
Quiz III - MAP 103Date 08/02/06 - Duration 20 minutesNO CALCULATORS SUNYSB Id No. : Name :Problem 1Solve : x+y =z x + y = 2z y + 3x = 0.Problem 2Simplify the expressions and calculate the degree : (i) (2x 1)(x 2) 2x(x 3)1(ii) (x 1)
SUNY Stony Brook - MAT - 122
Quiz VIII - MAT 122 (R03)Date 11/08/06 - Duration 8 minutesSUNYSB Id No. : Name :Problem 1Let f (t) = t3 et . (i) Find f (t).(ii) Compute f (1). Is f decreasing at 1?1
University of Illinois, Urbana Champaign - LA - 341
CG_userManual_Cover3.qxd7/9/993:25 PMPage 1AMERICAN FORESTScalculatingfor ArcView GISthe value of natureP.O. Box 2000 Washington DC 20013 Phone: 202/955-4500 Fax: 202/955-4588 E-mail: cgreen@amfor.org Web: www.americanforests.orgversi
University of Illinois, Urbana Champaign - LA - 341
BIRDER1.XLS PresentValueofExpectedFutureBenefits Greenfieldsindicatevaluesthatcanbechanged Annual&quot;income&quot;orbenefit: \$1,000,000.00 futurevalueofbenefiteachyearat inflationrateof: now 0 3.00% 1,000,000 year year year 1 2 3 1,030,000 1,060,900 1,092,727
SUNY Stony Brook - MAT - 122
Quiz II - MAT 122 (R02)Date 09/25/06 - Duration 8 minutesSUNYSB Id No. : Name :Problem 1The population of a town, t years from now, is given by P (t) = 500e0.07t .(i) What is the population of the town now?(ii) What can you say about the gr
SUNY Stony Brook - MAT - 122
Quiz IV - MAT 122 (R02)Date 10/23/06 - Duration 8 minutesSUNYSB Id No. : Name :Problem 1Using f (x) = limh0 following :f (x+h)f (x) hor otherwise, compute the derivative of the(i) f (x) = 3x2 4x + 2(ii) f (x) = 2x + 1(iii) f (x) = 1.
SUNY Stony Brook - MAT - 122
Quiz II - MAT 122 (R03)Date 09/20/06 - Duration 8 minutesSUNYSB Id No. : Name :Problem 1 What is the equation of a line passing through (1, 2) and (3, 2)? Determine the slope and y -intercept.Problem 2Given below are some values of the functi
SUNY Stony Brook - MAT - 122
Quiz III - MAT 122 (R03)Date 09/27/06 - Duration 8 minutesSUNYSB Id No. : Name :Problem 1Solve for t (using logarithms or otherwise): (i) 4 = 2t(ii) 4 = 2et .Problem 2Does the function P = 5(0.9)t represent exponential growth or decay? Wh
SUNY Stony Brook - MAT - 122
Quiz X - MAT 122 (R03)Date 11/28/06 - Duration 8 minutesSUNYSB Id No. : Name :Problem 1Let f (x) = x3 3x2 + 3x 5. (i) Find f (x).(ii) Find f (x).(iii) List the critical point(s) of f and decide if it is a local maximum or minimum.1
SUNY Stony Brook - MAT - 122
Quiz VI - MAT 122 (R02)Date 11/06/06 - Duration 8 minutesSUNYSB Id No. : Name :Problem 1Let f (x) = x2 ex . (i) Find f (x).(ii) Compute f (1). Is f increasing at 0?1
SUNY Stony Brook - MAT - 122
Quiz VI - MAT 122 (R03)Date 10/25/06 - Duration 8 minutesSUNYSB Id No. : Name :Problem 1Using f (x) = limh0 (i) f (x) = 2x2f (x+h)f (x) hcompute the derivative of the following :(ii) f (x) = 4x 3(iii) Using (i) and (ii) nd the derivat
SUNY Stony Brook - MAT - 122
Quiz IV - MAT 122 (R03)Date 10/04/06 - Duration 8 minutesSUNYSB Id No. : Name :Problem 1For the given functions f (x) = x2 1 and g (x) = 3x, nd : (i) f (x)g (x)(ii) g (g (x)(iii) f (g (x)(iv) g (x2 + 1)(v) 2f (x).1
SUNY Stony Brook - MAT - 122
Quiz VIII - MAT 122 (R02)Date 11/27/06 - Duration 8 minutesSUNYSB Id No. : Name :Problem 1Let f (x) = x3 3x2 + 5. (i) Find f (x).(ii) Find f (x).(iii) List the critical point(s) of f and decide if it is a local maximum or minimum.1
SUNY Stony Brook - MAT - 122
Quiz XI - MAT 122 (R02)Date 12/13/06 - Duration 8 minutesSUNYSB Id No. : Name :Problem 1Evaluate3 (2 x 1+ 1) dx.Problem 2For the function f (x) = x ln x + x, nd f (x). What is f (1)?1
SUNY Stony Brook - MAT - 122
Quiz I - MAT 122 (R02)Date 09/18/06 - Duration 10 minutesSUNYSB Id No. : Name :Problem 1Determine the slope and y -intercept of the line 3x = 2y 1.Problem 2Given below are some values of the function f (x) = x2 . x f(x) -2 4 -1 1 0 0 1 1 2
SUNY Stony Brook - MAT - 122
Quiz VII - MAT 122 (R02)Date 11/13/06 - Duration 8 minutesSUNYSB Id No. : Name :Problem 1Let f (x) = x3 2x2 + 5. (i) Find f (x).(ii) Find the critical points of f .(iii) What is the slope of the tangent line to f at x = 0?1
SUNY Stony Brook - MAT - 122
Quiz IX - MAT 122 (R03)Date 11/15/06 - Duration 8 minutesSUNYSB Id No. : Name :Problem 1Let f (t) = tet 2t3 + 1. (i) Find f (t).(ii) What is the equation of the tangent line to f at x = 0?1
SUNY Stony Brook - MAT - 125
MAT125 HW1Daniel An 9th December 20041. complete the table if f (x) = 3x2 5x + 2 Give your answer as a number, not an expression. x f (x) 3 -3 4 -4 Solution Reminder: when plugging in negative numbers or expressions into x, always use paranthesis
NMSU - AST - 105
Astronomy 105G: The Planets Spring 2009 SyllabusDr. Jason Jackiewicz Assistant Professor of Astronomy New Mexico State University1Overview of the courseThis class will deal with the very relevant and beautiful aspects of our solar system. We w
SUNY Stony Brook - MAT - 125
Key to Problem Set 81. Use Chain Rule, we have f (x) = 1 (x6 + 5) x6 + 5 6x5 =6 x +52. Still Chain Rule, f () = 1 ( sin 5) 5 cos 5 = 5 tan 53. Chain Rule: f (x) = cos(ln 11x) (ln 11x) 11 = cos(ln 11x) 11x cos(ln 11x) = x 4. Note that f (x) =
SUNY Stony Brook - MAT - 125
1.x 7lim (f (x) + g (x) = lim f (x) + lim g (x) = 4 + 9 = 5x 7 x72.x 5lim (f (x)2 = ( lim f (x) ( lim g (x) = 9 9 = 81x7 x 73. 2 limx3 f (x) 2 3 6 2f (x) = = = x3 g (x) f (x) limx3 g (x) limx3 f (x) 10 (3) 13 lim 4.x 1lim (x + 4)
SUNY Stony Brook - MAT - 125
First Midterm Examproblem possible score Name: 1 10 2 10 3 20 4 18MAT 125, Spring 19995 12 6 15 7 15 Total 100Section:Directions: There are 7 problems on ve pages in this exam. Make sure that you have them all. Do all of your work in this exa
SUNY Stony Brook - MAT - 125
SUNY Stony Brook - MAT - 125
MAT 125: Calculus AStony Brook,Fall 2004Text: Calculus: Concepts and Contexts (Single Variable), (Second edition) by James Stewart. This book costs about \$110 at the bookstore, and can be found for around \$100 online, or about \$50-60 used. This
SUNY Stony Brook - MAT - 125
SUNY Stony Brook - MAT - 125
Solutions to Web-Based Homework 3 This is the 'semi-detailed' solution set for the third web-based homework. Hopefully you will nd it useful and instructive. For now and in the future, these solutions will be available only after the web-based homewo
SUNY Stony Brook - MAT - 125
Final ExamName: Signature:MAT 125 Spring 1999Section: Mothers rst name:Directions: There are 13 problems on 10 pages (including this cover sheet) in this exam. Make sure that you have them all. Do all of your work in this exam booklet, and cros
SUNY Stony Brook - MAT - 125
This is the solution of homework 7 . 1. F (y ) = ( y32 y74 )(2y 5y 3 ) 28 = 12 y3 + 15y 35 y y 28 = 23 y3 + 15y y Now 23 23 d ( ) = 2 , dy y y d 28 84 ( 3 ) = 2 , dy y y F (y ) = d (15y ) = 15 dy 23 84 + 2 + 15 y2 yAnswer: 2. y = x(9x2 1) 1
SUNY Stony Brook - MAT - 125
SUNY Stony Brook - MAT - 125
Second Midterm ExamName:ELC3 R05 R10 R16 Josh Daniel Yoav Ari MW 6:50p M 11:45a W 9:35a Th 2:20p R01 R06 R11 R17 Yoav Samir Daniel Daniel M 9:35a Th 2:20p W 11:45a M 5:20p R02 R07 R12 R19 Samir Wenchuan Dezhen DezhenMath 125, Fall 2004ID#:Th 12
SUNY Stony Brook - MAT - 125
SUNY Stony Brook - MAT - 125
Review for Final ExamMAT 125, Fall 2004This is a review sheet for the nal exam. Doing the problems given here should help you prepare for the nal exam. About 40% of the nal will be material that was covered on midterms 1 and 2. Most of that mater
SUNY Stony Brook - MAT - 125
MAT125.R92: QUIZ 1SOLUTIONSLet f (x) = ex and g (x) = x3 1. (a) Find the function f g . 3 (f g )(x) = ex 1 . (b) What are the domain and range of f g ? Domain: there are no restrictions on what xs can be plugged into x3 1; also no restriction
SUNY Stony Brook - MAT - 125
MATH 125Name: ID:First MidtermFebruary 19, 2007Rec:Question: Points: Score:1 122 103 94 95 96 157 98 8Total 81There are 8 problems in this exam. The pages are printed on both sides. Make sure that you have them all. Do all
SUNY Stony Brook - AMS - 102
AMS 102: HOMEWORK 10SOLUTIONSChapter 19 19.8. (a) If loggers know about the study, they might cut fewer trees in order to minimize the impact of logging as shown by this study. (Whether they would do it on purpose or subconsciously is another issu
SUNY Stony Brook - AMS - 102
AMS 102: PRACTICE FOR MIDTERM 1SOLUTIONS7.4. Use a bar graph or a pie chart. Assuming there are no other sources of income, theater showings account for 7.4/44.9 16.5% income.7.6. M Q1 = 14.9 pounds and Q3 M = 24.1pounds, so the weights are s
SUNY Stony Brook - AMS - 102
AMS 102: HOMEWORK 11SOLUTIONSChapter 20 20.17. (a) np0 = 10(0.5) = 5; this is too small to use the test. (b) n(1 p0 ) = 200(1 0.99) = 2; this is too small to use the test. 20.41. Let p be the proportion of of heterosexuals in high-risk cities wi
SUNY Stony Brook - AMS - 102
AMS 102: HOMEWORK 7SOLUTIONSChapter 11 11.11. (a) x = 0.5 and x = / 50 = 0.7/ 50 0.09899. (b) The distribution is only approximately normal, so our computations will only be approximate. If we use the 68-95-99.7 rule to give a rough estimate:
SUNY Stony Brook - AMS - 102
AMS 102: HOMEWORK 6SOLUTIONSChapter 10 10.9. (a) 1 0.59 0.23 0.07 = 0.11 (b) P(not English)= 1P(English)= 1 0.59 = 0.41. 10.38. (a) All probabilities are between 0 and 1 and add up to 1. (b) P(not English)= 1P(English)= 1 0.59 = 0.41. (c) 0.2
SUNY Stony Brook - AMS - 102
AMS 102: HOMEWORK 3SOLUTIONSChapter 4 4.8. (a) Price is explanatory (horizontal axis). The plot shows a positive linear association.(b) x = 50 cents/lb and sx 16.3248 cents/lb; y = 1.738% and sy 0.9278%. The correlation is r = 0.955.4.34.
SUNY Stony Brook - AMS - 102
AMS 102: QUIZ 3SOLUTIONSIn the hamlet of Hampton Heights, 10% of residents own a cat, 12% of residents own a dog, and 83% of residents own neither a cat nor a dog. (a) What percentage of residents own both a cat and a dog? 17% = 100 83 own either
SUNY Stony Brook - AMS - 102
AMS 102: QUIZ 2SOLUTIONSThe population of long-tailed hamster in eastern Texas has been declining for years. One possible reason is the growth of human settlement; another, drying up of the hamsters natural habitat. Two statistical studies were co
SUNY Stony Brook - AMS - 102
AMS 102: QUIZ 1SOLUTIONS1. What is wrong with this pie chart?15% 30%20%All sectors add up to 30 + 20 + 15 = 65%. In a pie chart the total should always be 100%. 2. What is wrong with this histogram?3 2 1510152530354550 55Se
SUNY Stony Brook - AMS - 102
AMS 102: HOMEWORK 2SOLUTIONSChapter 2 2.37. (State) How does increasing compression aect soil penetrability? (Formulate) We need to compare distributions for three levels of soil compression. (Solve) The data sets are relatively small, so stemplot
SUNY Stony Brook - AMS - 102
AMS 102: QUIZ 4SOLUTIONSUnlike the Unites States, in the developing world childhood obesity is not a serious problem. Rather, many children are underweight. Several studies were performed in the city of Chyktem. First, 700 children were selected a
SUNY Stony Brook - AMS - 102
AMS 102: HOMEWORK 5SOLUTIONSChapter 8 8.11. (a) Assign labels 0001 through 1410. (b) Beginning at line 105, we choose plots 0769, 1315, 0094, 0720, and 0906.8.27. Observational study. Subjects choose their own treatment (how much they drink) Exp
SUNY Stony Brook - AMS - 102
AMS 102: HOMEWORK 8SOLUTIONSChapter 15 15.5. H0 : = 51mpg, Ha : &lt; 51mpg. 15.18. H0 : = 5mg. Ha : &lt; 5mg. 4.62 5 2.77. P (Z &lt; 2.77) = 0.0028. We Test statistic: z = 0.92/ 45 should reject the null hypothesis. 15.36. Is there sucient evidence
SUNY Stony Brook - MAT - 312
Applied Algebra, MAT312/AMS351 Practice Problems for Midterm 1: Solutions 1. Find the greatest common divisor of 12n + 1 and 30n + 2. Solution: 30n + 2 = 2(12n + 1) + 6n; 12n + 1 = 6n 2 + 1. Thus gcd(12n + 1, 30n + 2) = 1. 2. Prove that for every na
SUNY Stony Brook - MAT - 312
Applied Algebra, MAT312/AMS351 Practice Problems for the Final: Solutions (1) Find the greatest common divisor of 12n + 1 and 30n + 2. Solution: Using the Euclidean algorithm, we nd that gcd(30n + 2, 12n + 1) = gcd(12n + 1, 6n) = gcd(6n, 1) = 1. (2)
SUNY Stony Brook - MAT - 312
Applied Algebra, MAT312/AMS351 Practice Problems for the Final (1) Find the greatest common divisor of 12n + 1 and 30n + 2. (2) Prove that the product of three consequtive natural numbers is always divisible by 6. (3) Solve the following linear congr
SUNY Stony Brook - MAT - 312
Applied Algebra, MAT312/AMS351 Practice Problems for Midterm 1 1. Find the greatest common divisor of 12n + 1 and 30n + 2. 2. Prove that for every natural number n, the number 32n+2 + 8n 9 is divisible by 16. 3. Recall that the Fibonacci sequence is
SUNY Stony Brook - MAT - 312
Applied Algebra, MAT312/AMS351 Practice Problems for Midterm II (1) Let R = {(a, b) | a b mod 5} be a subset of Z Z. Prove or disprove that aRb is an equivalence relation on Z. 1234567 1234567 (2) Let = and = . 4627315 3651427 Compute , 1 . Det
SUNY Stony Brook - MAT - 125
Practice Final Exam MAT 125May 8, 2006 Name: Recitation number (e.g., R01): (for evening lecture, use ELC 4)Lecture 1 R01 R02 R03 R04 R05 R31 Lecture 2 R06 R07 R08 R09 R10 Lecture 3 R11 R12 R13 R14 R15 R32 Evening Lec 4 MWF 9:3510:30 M 11:45am12:40
SUNY Stony Brook - MAT - 125
MATH 125Name:Second MidtermMarch 20, 2007ID:Rec:Question: Points: Score:1 122 123 84 85 166 147 108 10Total 90There are 8 problems in this exam, printed on 6 pages (not including this cover sheet). Make sure that you hav
SUNY Stony Brook - MAT - 125
MAT125.R91: QUIZ 7SOLUTIONSCompute derivatives of the following functions: sin x (a) f (x) = 1 + sin x (sin x) (1 + sin x) sin x(1 + sin x) cos x(1 + sin x) sin x cos x f (x) = = = (1 + sin x)2 (1 + sin x)2 cos x cos x + cos x sin x sin x cos x
SUNY Stony Brook - MAT - 125
MAT125.R92: QUIZ 5SOLUTIONSFind the equation of the tangent line to the graph of the function 4 f (x) = 2 3x2 x at x = 2. The tangent line will pass through the point (2, f (2). 4 Since f (2) = 2 3(2)2 = 1 12 = 11, the point is (2, 11). 2 The s