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Study Documents » Virginia Colleges & Universities » George Mason » Math (MATH) » MATH 113
George Mason | MATH 113
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    J S OLUTION M ath 1 13-001 S pring 2 010 Exam 1 F irst . Name: Last . Book closed. Calculato r and notes may not be used. p roblems 1- 15 , m ark t he answer t hat you think is correct l Each co rrect answer = 2 points. [n ( I) %im 1000x = 0 1 - 1 2 - 2 3
     
  • demo2007feb13.pdf
    George Mason MATH 113
    MAPLE demo 2-13-07 Look at tangent and secant lines. Example f(x)=x^3+5/x^2 at x_0=2. 5 x2 f := x/x 3 C > > f := x / x 3 C 5 x2 plot ( f ( x ) , x =.5 .6 ) > Define the difference quotient for f(x) at x=2. > q := h / (f (2 C h) K f (2) ) h q
     
  • 113s07sb.pdf
    George Mason MATH 113
    Math 113003 (Analytic Geometry and Calculus I) Spring 2007 Instructor: David Walnut Oce: ST1, room 261 Phone: 703 993 1478 (voice) 703 993 1491 (fax) email: dwalnut@gmu.edu Course web page: Go to http:/math.gmu.edu, click on Course Information, then
     
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    George Mason MATH 113
     
     
  • demo2007jan25.pdf
    George Mason MATH 113
    MAPLE Demo 1K25K07 > Defining functions. Start with f(x)=x^2. 2 > f := x / x ; f := x/x 2 > f (2) 4 > f ( 3.6 ) 1 2.96 > plot ( f ( x ) , x ) ; > > help( plot ) plot ( f ( x ) , x = 0 .5 ) > plot ( f ( x ) , x = 0 .5, y = K5 .15 ) > g :=
     
  • web_list_113_sp03.pdf
    George Mason MATH 113
    Soc Sec # 174 026 902 182 052 750 077 233 497 485 896 968 895 327 293 922 505 646 101 074 512 113 604 423 466 394 678 134 957 919 023 169 115 265 813 044 710 687 064 243 EX1 EX2 EX3 Final Q1 Q2 Q3 Q5 78 82 59 76 100 76 93 47 63 60 47 86 53 6
     
  • maple01-solutions.pdf
    George Mason MATH 113
    SOLUTION to First Maple Assignment - Professor Gabel - 25 points total restart;Digits:=10;[This is required.] Full Name = * Is my social security number prime? > ifactor(347365545); type(347365545,prime); Digits := 10 ( 3 ) ( 5 ) ( 23157703 ) false
     
  • Solutions-Gabel-Exam03-113-sp03.pdf
    George Mason MATH 113
    Last Name, First (Print) _ Signature _Rec Sec 7:30 8:30 9:30 Exam 3 - Math 113 April, 22, 2003 - Professor Gabel Directions: Do all of your work on the exam itself. On those problems which are multiple choice, circle the answer of your choice. Mult
     
  • Solutions-Gabel-Exam01-113-sp03.pdf
    George Mason MATH 113
    Last Name, First (Print) _ Signature _Rec Sec 7:30 8:30 9:30 Exam 1 - Math 113 March 4, 2003 - Professor Gabel Directions: Do all of your work on the exam itself. \"NPC\" means \"no partial credit.\" On those problems which are multiple choice, circle
     
  • Solutions-Gabel-113-quiz07.pdf
    George Mason MATH 113
     
     
  • Solutions-Gabel-113-quiz04.pdf
    George Mason MATH 113
    Last Name, First [Print] _SOLUTIONS_ Signature _ Rec Sec (circle) : 7:30 8:30 9:30 Professor Gabel - Math 113 Spring 2003 Quiz04 NOT GIVEN because of SNOW No Calculators allowed. (1) For the function, f(x), at the right, fill in the following table
     
  • Solutions-Gabel-113-quiz03.pdf
    George Mason MATH 113
    Last Name, First [Print] _SOLUTIONS_ Signature _ Rec Sec (circle) : 7:30 8:30 9:30 Professor Gabel - Math 113 Spring 2003 Quiz03 Wed, Feb 12, 2003 20 points total. All no partial credit. NO Calculators allowed. (1) [2 pts each; 14 pts total]. Based
     
  • Solutions-Gabel-113-quiz05.pdf
    George Mason MATH 113
    Last Name, First [Print] _ Signature _ Rec Sec (circle) : 7:30 8:30 9:30 Professor Gabel - Math 113 Spring 2003 Quiz05 Wed, Mar 18, 2003 20 points total. All no partial credit. Circle your answer to each problem. 4 pts each question. NO Calculators
     
  • cable_line.pdf
    George Mason MATH 113
    The Cable-Line Problem: A river is 5 meters wide and the cable box is on the other side of the river 12 meters downstream. It cost $1/meter to lay cable along the bank and $2/meter to lay it across water. How far upstream should one lay the cable alo
     
  • Gabel-113-quiz04.pdf
    George Mason MATH 113
    Last Name, First [Print] _ Signature _ Rec Sec (circle) : 7:30 8:30 9:30 Professor Gabel - Math 113 Spring 2003 Quiz04 NOT GIVEN because of SNOW No Calculators allowed. (1) For the function, f(x), at the right, fill in the following table with True
     
  • Maple02.pdf
    George Mason MATH 113
    Math113 Graded Maple Assignment #2 Professor Gabel Due at the start of lecture on Tuesday, April 29 - 35 points Follow these directions very carefully. Create a Maple worksheet which contains all the computations required below, print this workshe
     
  • Solutions-Gabel-113-quiz02.pdf
    George Mason MATH 113
    Last Name, First [Print] _SOLUTIONS _ Signature _ Rec Sec (circle) : 7:30 8:30 9:30 Professor Gabel - Math 113 Spring 2003 Quiz02 Wed, Feb 5, 2003 20 points total. All no partial credit. NO Calculators allowed. (1) [1 point each part] Compute the in
     
  • Solutions-Gabel-Exam02-113-sp03.pdf
    George Mason MATH 113
    Last Name, First (Print) _ Signature _Rec Sec 7:30 8:30 9:30 Exam 2 - Math 113 April, 2003 - Professor Gabel Directions: Do all of your work on the exam itself. \"NPC\" means \"no partial credit.\" On those problems which are multiple choice, circle th
     
  • demo2007may23.pdf
    George Mason MATH 113
    Demo Math 113 23 May 2007 Defining and plotting functions Example f(x)=x^2 + 1 > f := x / x 2 f := x/x 2 > f (2) 4 > f 0 11 2 1 4 > f ( .5 ) 0 .25 > evalf f 0 0 11 1 2 0 .2500000000 > f ( 2. ) 4 . > plot ( f ( x ) , x ) > plot ( f (
     
  • 113sm07m2.pdf
    George Mason MATH 113
    MATH 113 MAPLE ASSIGNMENT 1 DUE 7 JUNE 2007 Answer all of the following questions. You may work in groups of no more than three persons to complete this assignment. One copy of the completed assignment is to be turned in for each group. Each member
     
  • 113s07q07_soln.pdf
    George Mason MATH 113
     
     
  • 113sm07e1_soln.pdf
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  • 113s07m5.pdf
    George Mason MATH 113
    MATH 113 MAPLE ASSIGNMENT 5 DUE 3 MAY 2007 Answer all of the following questions. You may work in groups of no more than three persons to complete this assignment. One copy of the completed assignment is to be turned in for each group. Each member
     
  • mapintrof8.pdf
    George Mason MATH 113
    Introduction to MAPLE MAPLE is a computer algebra system. It is capable of doing a great many things, a few of which are described in this document. In order to become acquainted with these commands, work through the tutorial in this document. You ca
     
  • 113sm07sb.pdf
    George Mason MATH 113
    Math 113A01 (Analytic Geometry and Calculus I) Summer 2007 Instructor: David Walnut Oce: ST1, room 261 Phone: 703 993 1478 (voice); 703 993 1491 (fax) email: dwalnut@gmu.edu Course web page: Access from the page http:/math.gmu.edu/coursehomepages.htm
     
  • 113s07m4.pdf
    George Mason MATH 113
    MATH 113 MAPLE ASSIGNMENT 4 DUE 24 APRIL 2007 Answer all of the following questions. You may work in groups of no more than three persons to complete this assignment. One copy of the completed assignment is to be turned in for each group. Each memb
     
  • 113s07m2_soln.pdf
    George Mason MATH 113
    > > Maple Assignment #2 Solutions #1 (a) > x3 f := x / sqrt ( x 4 C 5 ) f := x/ > x3 x4 C 5 plot ( f ( x ) , x = K3 .3 ) > #1 (b) > g := x / D( f ) ( x ) ; g := x/ ( D( f ) ) ( x ) > plot ( [ f ( x ) , g ( x ) ] , x = K3 .3 ) > #1 (c) Ta
     
  • demo2007mar22.pdf
    George Mason MATH 113
    Demo on Linearizations. f(x) = sin(x), at x=0 > f := x / sin( x ) f := x/sin( x ) > plot f ( x ) , x = 0 KPi Pi 2 . 2 1 > Find the linearization. > g := x / D( f ) ( x ) g := x / ( D( f ) ) ( x ) > eval ( g ( x ) ) cos ( x ) > L := x / f
     
  • 113s07m3.pdf
    George Mason MATH 113
    MATH 113 MAPLE ASSIGNMENT 3 DUE 12 APRIL 2007 Answer all of the following questions. You may work in groups of no more than three persons to complete this assignment. One copy of the completed assignment is to be turned in for each group. Each memb
     
  • 113f00q03_soln.pdf
    George Mason MATH 113
     
     
  • 113s07q04_soln.pdf
    George Mason MATH 113
     
     
  • 113sm07m3.pdf
    George Mason MATH 113
    MATH 113 MAPLE ASSIGNMENT 3 DUE 14 JUNE 2007 Answer all of the following questions. You may work in groups of no more than three persons to complete this assignment. One copy of the completed assignment is to be turned in for each group. Each membe
     
  • Solutions-Gabel-Exam03-113-sp03.doc
    George Mason MATH 113
    Last Name, First (Print) _ Signature _Rec Sec 7:30 8:30 9:30 Exam 3 - Math 113 April, 22, 2003 - Professor Gabel Directions: Do all of your work on the exam itself. On those problems which are multiple choice, circle the answer of your choice. Mult
     
  • 113sm07exer.txt
    George Mason MATH 113
    Homework Exercises Section Exercises 1.1 1-15 odd, 19-27 odd, 29a, 37, 39a, b, c 1.2 1-13 odd, 19, 21, 23, 27 1.3 1-9 odd, 15, 17, 19, 23, 29, 31, 33, 35, 41, 43, 61, 65, 69 1.5 1-35 odd 1.6 1, 3, 5, 7, 9, 11, 13, 21
     
  • exercises.txt
    George Mason MATH 113
    Homework Exercises Section Exercises 1.1 1, 5, 7, 17, 19, 21, 29, 31, 41 1.2 7, 9, 11 1.3 35, 37, 41, 45 1.5 3, 5, 9, 13 1.6 5, 9, 11, 21, 23, 37, 39, 49, 51 2.1
     
  • 113s07e1.pdf
    George Mason MATH 113
    MATH 113 27 SEPTEMBER 2005 EXAM 1 Answer each of the following questions. Show all work, as partial credit may be given. 1. (3 pt. each) Consider the function f (x) whose graph is sketched below. Determine whether each of the following statements i
     
  • 113s07e2.pdf
    George Mason MATH 113
    MATH 113 22 MARCH 2007 EXAM 2 Answer each of the following questions. Show all work, as partial credit may be given. 1. (8 pts. each) Evaluate the derivative of each of the following functions. (a) f (x) = x3 - 3(x2 + 4) (b) g(t) = (e-t + 3) tan(t)
     
  • 113s07e2_soln.pdf
    George Mason MATH 113
     
     
  • 113s07e3.pdf
    George Mason MATH 113
    MATH 113 18 APRIL 2007 EXAM 3 Answer each of the following questions. Show all work, as partial credit may be given. 1. (12 pts.) The volume, V (in cubic meters), of a sphere of radius r meters is given by V = (4/3)r3 . Use differentials to estimat
     
  • 113s07e3_soln.pdf
    George Mason MATH 113
     
     
  • 113s07m1.pdf
    George Mason MATH 113
    MATH 113 MAPLE ASSIGNMENT 1 DUE 13 FEBRUARY 2007 Answer all of the following questions. You may work in groups of no more than three persons to complete this assignment. One copy of the completed assignment is to be turned in for each group. Each m
     
  • 113s07m1_soln.pdf
    George Mason MATH 113
    > MAPLE ASSIGNMENT #1 - SOLUTIONS #1 (A) > f := x / x 3K 5$ x f := x/x 3 K 5 x > plot ( f ( x ) , x = K10 .10 ) > plot ( f ( x ) , x = K3 .3 ) ; > #1 (B) > g := x / ( 5 $ x3 C 9 $ x2 ) ( 2 $ x5 C 3 $ x2 ) g := x/ 5 x3 C 9 x2 2 x5 C 3 x2 > p
     
  • 113s07m2.pdf
    George Mason MATH 113
    MATH 113 MAPLE ASSIGNMENT 2 DUE 20 MARCH 2007 Answer all of the following questions. You may work in groups of no more than three persons to complete this assignment. One copy of the completed assignment is to be turned in for each group. Each memb
     
  • 113s07m3_soln.pdf
    George Mason MATH 113
    > MAPLE Assignment #3 - SOLUTIONS #1(a) > f := x / ( 25 K x 2 ) 0 11 3 f := x/ ( 25 K x 2 ) (1/3) > g := x / D( f ) ( x ) g := x/ ( D( f ) ) ( x ) > eval ( g ( x ) ) K x 2 3 ( 25 K x 2 ) ( 2 / 3 ) > L := x / f ( 3 ) C g ( 3 ) $ ( xK 3 ) L :=
     
  • 113s07m4_soln.pdf
    George Mason MATH 113
    > MAPLE Assignment #4 - Solutions #1(a). > f := x / C 8$ xK 5 0 11 $ x 5 5 K 2 $ x 4 C 7 $ x 3 K 11 $ x 2 1 f := x/ x 5 K 2 x 4 C 7 x 3 K 11 x 2 C 8 x K 5 5 > plot ( f ( x ) , x = 0 .5, y = K5 .5 ) > fp := x / D( f ) ( x ) fp := x/ ( D( f )
     
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    George Mason MATH 113
     
     
  • 113s07q02_soln.pdf
    George Mason MATH 113
     
     
  • 113s07q03_soln.pdf
    George Mason MATH 113
    MATH 113- QUIZ 2 - 6 FEBRUARY 2007 Answer all of the followingquestions the spaceprovided. Show all work as partial in credit may be given. Answerswithout justification, evenif they are correct, will earn no credit. 1. (1 pt. each) Considerthe functi
     
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    George Mason MATH 113
     
     
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    George Mason MATH 113
     
     
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    George Mason MATH 113
     
     
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    George Mason MATH 113
     
     
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    George Mason MATH 113
     
     
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    George Mason MATH 113
     
     
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    George Mason MATH 113
     
     
  • 113s07q13_soln.pdf
    George Mason MATH 113
     
     
  • demo2007apr05.pdf
    George Mason MATH 113
    Demo on curve sketching. > f := x / 5 $ x 5 K 20 $ x 4 C 19 $ x 3 C 4 $ x 2 K 4 $ x C 8 f := x/5 x 5 K 20 x 4 C 19 x 3 C 4 x 2 K 4 x C 8 > Find critical points and intervals of increase and decrease. > fp := x / D( f ) ( x ) fp := x/ ( D( f ) ) (
     
  • demo2007apr12.pdf
    George Mason MATH 113
    Demonstration of Newton\'s Method. f := x / x 6 K x K1 > f := x/x 6 K x K 1 > fp := x / 6 $ x 5 K1 fp := x/6 x 5 K 1 > F := x / x K f (x ) fp ( x ) F := x/x K f (x ) fp ( x ) > F ( 3. ) 2 .502402196 > F (3) 3646 1457 > x0 := 1.0 x0 := 1.0
     
  • demo2007apr19.pdf
    George Mason MATH 113
    Approximating areas with rectangles. > with ( student ) [ D, Diff, Doubleint, Int, Limit, Lineint, Product, Sum, Tripleint, changevar, completesquare, distance, equate, integrand, intercept, intparts, leftbox, leftsum, makeproc, middlebox, middlesu
     
  • demo2007feb06.pdf
    George Mason MATH 113
    MAPLE demo 02K06K07 Finding limits using MAPLE ( e.g. # 34,. p. 83 ) > f := x / (x C 2) sqrt ( x 2 C 5 ) K 3 f := x/ x C2 x2 C 5 K 3 > Want to evaluate limit as x->-2 > > f ( K2 ) f ( K1 ) Error, (in f) numeric exception: division by zero 1 6 K
     
  • demo2007feb27.pdf
    George Mason MATH 113
    Differentiation demo # 120, p. 202 f := x / cos ( x 2 ) f := x/cos ( x 2 ) > > plot ( f ( x ) , x = K2 .3 ) > g := ( x, h ) / ( cos ( ( x C h ) 2 ) K cos ( x 2 ) ) h cos ( ( x C h ) 2 ) K cos ( x 2 ) g := ( x, h ) / h > plot ( g ( x, 1 ) , x =
     
  • mapintros5.pdf
    George Mason MATH 113
    Introduction to MAPLE MAPLE is a computer algebra system. It is capable of doing a great many things, a few of which are described in this document. In order to become acquainted with these commands, work through the tutorial beginning on the next pa
     
  • 113f00e1_soln.pdf
    George Mason MATH 113
     
     
  • 113f00e2_soln.pdf
    George Mason MATH 113
     
     
  • 113f00e3_soln.pdf
    George Mason MATH 113
     
     
  • 113f00m1.pdf
    George Mason MATH 113
     
     
  • 113f00m1.ps
    George Mason MATH 113
    %!PS-Adobe-2.0 %Creator: dvipsk 5.499a Copyright 1986, 1992 Radical Eye Software %Title: 113f00m1.dvi %Pages: 2 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %EndComments %DVIPSCommandLine: dvips -o 113f00m1.ps 113f00m1 %DVIPSSource: TeX output 2000.0
     
  • 113f00m1_soln.ps
    George Mason MATH 113
    %!PS-Adobe-2.0 %Title: 113f00m1_soln.mws - [Server 1] %Creator: Maple V Release 5.1 DEC ALPHA UNIX %DocumentFonts: Times-Roman Times-Bold Courier Times-Italic Symbol %Pages: 10 %EndComments % /sc { setrgbcolor } def % color % /stc { setrgbcolor } def
     
  • 113f00m2.pdf
    George Mason MATH 113
     
     
  • 113f00m2.ps
    George Mason MATH 113
    %!PS-Adobe-2.0 %Creator: dvipsk 5.499a Copyright 1986, 1992 Radical Eye Software %Title: 113f00m2.dvi %Pages: 1 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %EndComments %DVIPSCommandLine: dvips -o 113f00m2.ps 113f00m2 %DVIPSSource: TeX output 2000.1
     
  • 113f00m2_soln.ps
    George Mason MATH 113
    %!PS-Adobe-2.0 %Title: 113f00m2_soln.mws - [Server 1] %Creator: Maple 6.01 DEC ALPHA UNIX %DocumentFonts: Times-Roman Times-Bold Courier Times-Italic Symbol %Pages: 5 %EndComments % /sc { setrgbcolor } def % color % /stc { setrgbcolor } def % color /
     
  • 113f00m3.ps
    George Mason MATH 113
    %!PS-Adobe-2.0 %Creator: dvipsk 5.499a Copyright 1986, 1992 Radical Eye Software %Title: 113f00m3.dvi %Pages: 1 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %EndComments %DVIPSCommandLine: dvips -o 113f00m3.ps 113f00m3 %DVIPSSource: TeX output 2000.1
     
  • 113f00m3_soln.ps
    George Mason MATH 113
    %!PS-Adobe-2.0 %Title: 113f00m3_soln.mws - [Server 1] %Creator: Maple 6.01 DEC ALPHA UNIX %DocumentFonts: Times-Roman Times-Bold Courier Times-Italic Symbol %Pages: 7 %EndComments % /sc { setrgbcolor } def % color % /stc { setrgbcolor } def % color /
     
  • 113f00m4.ps
    George Mason MATH 113
    %!PS-Adobe-2.0 %Creator: dvipsk 5.499a Copyright 1986, 1992 Radical Eye Software %Title: 113f00m4.dvi %Pages: 2 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %EndComments %DVIPSCommandLine: dvips -o 113f00m4.ps 113f00m4 %DVIPSSource: TeX output 2000.1
     
  • 113f00m4_soln.pdf
    George Mason MATH 113
     
     
  • 113f00m5.pdf
    George Mason MATH 113
     
     
  • 113f00m5.ps
    George Mason MATH 113
    %!PS-Adobe-2.0 %Creator: dvipsk 5.499a Copyright 1986, 1992 Radical Eye Software %Title: 113f00m5.dvi %Pages: 2 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %EndComments %DVIPSCommandLine: dvips -o 113f00m5.ps 113f00m5 %DVIPSSource: TeX output 2000.1
     
  • 113f00q01_soln.pdf
    George Mason MATH 113
     
     
  • 113f00q02_soln.pdf
    George Mason MATH 113
     
     
  • 113f00q04_soln.pdf
    George Mason MATH 113
     
     
  • 113f00q05_soln.pdf
    George Mason MATH 113
     
     
  • 113f00q06_soln.pdf
    George Mason MATH 113
     
     
  • 113f00q07_soln.pdf
    George Mason MATH 113
     
     
  • 113f00q08_soln.pdf
    George Mason MATH 113
     
     
  • 113f00q09_soln.pdf
    George Mason MATH 113
     
     
  • 113f00q10_soln.pdf
    George Mason MATH 113
     
     
  • 113f00q11_soln.pdf
    George Mason MATH 113
     
     
  • 113f00q12_soln.pdf
    George Mason MATH 113
     
     
  • 113f00q13_soln.pdf
    George Mason MATH 113
     
     
  • 113f00sb.ps
    George Mason MATH 113
    %!PS-Adobe-2.0 %Creator: dvipsk 5.499a Copyright 1986, 1992 Radical Eye Software %Title: 113f00sb.dvi %Pages: 3 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %EndComments %DVIPSCommandLine: dvips -o 113f00sb.ps 113f00sb %DVIPSSource: TeX output 2000.0
     
  • mapintro.pdf
    George Mason MATH 113
    Introduction to Maple Maple is a computer algebra system. It is capable of doing a great many things, a few of which you will be learning about in this and later assignments. You can get into Maple at any of the machines in Science and Tech I room 12
     
  • 113sm07e2.pdf
    George Mason MATH 113
    MATH 113 1 JUNE 2007 EXAM 2 Answer each of the following questions. Show all work, as partial credit may be given. 1. (10 pts.) Let f (x) = x2 + x. Find the derivative of f (x) by directly computing the limit of the difference quotient. 2. (5 pts.
     
  • 113sm07e2_soln.pdf
    George Mason MATH 113
     
     
  • 113sm07e3.pdf
    George Mason MATH 113
    MATH 113 8 JUNE 2007 EXAM 3 Answer each of the following questions. Show all work, as partial credit may be given. 1. (10 pts.) Use logarithmic differentiation to find the derivative of y = (x + 1)3/2 . (x2 + 1)5/4 2. (10 pts.) Suppose that the vo
     
  • 113sm07e3_soln.pdf
    George Mason MATH 113
     
     
  • 113sm07e4.pdf
    George Mason MATH 113
    MATH 113 15 JUNE 2007 EXAM 4 Answer each of the following questions. Show all work, as partial credit may be given. 1. (10 pts.) A rectangle in the first quadrant has its base on the positive xaxis, one vertical side on the positive yaxis, and its
     
  • 113sm07e4_soln.pdf
    George Mason MATH 113
     
     
  • 113sm07m1.pdf
    George Mason MATH 113
    MATH 113 MAPLE ASSIGNMENT 1 DUE 31 MAY 2007 Answer all of the following questions. You may work in groups of no more than three persons to complete this assignment. One copy of the completed assignment is to be turned in for each group. Each member
     
  • 2007jun01.pdf
    George Mason MATH 113
     
     
 
 
 
 
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