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School: Yale
Course: Probability Theory
Stat 241/541 Final Exam 12/17/2012, 2:00-4:30PM. This is a two-hour-and-a-half exam for which you have three hours. Important: You may choose 5 out of the following 6 problems to work on. Please tell us what 5 problems to be graded! 1. (20 points) A docto
School: Yale
Course: None
1 Statistics for Decision Making final exam 1. Question: (TCO 9) The annual Salary of an electrical engineer is given in terms of the years of experience by the table below. Find the equation of linear regression for the above data and obtain the expected
School: Yale
Course: Calculus
Solutions to some limit convergence denition problems Dustin Cartwright October 2, 2006 These are some possible questions which I came up with involving the definition of a convergent series, and solutions to these questions. The solutions are probably mo
School: Yale
Course: Linear Algebra With Applications
LINEAR ALGEBRA HW 4 SOLUTIONS DANIEL COREY Section 3.1 18. T is not linear since T (0, 0, 0) = (0, 4, 0) = (0, 0, 0) (see the solution to exercise 55 below). 22. The columns are linear dependent, so T is not one-to-one. The span of the columns is not all
School: Yale
Course: Linear Algebra With Applications
LINEAR ALGEBRA HW 5 SOLUTIONS DANIEL COREY Section 3.3 10. The augmented matrix 1 2 1 4 7 7 1 1 5 1 0 0 10 0 0 row reduces to 0 1 1 00 0 1 0 0 28 13 0 1 3 9 7 4 3 1 1 So the inverse of the matrix is 28 13 3 7 3 1 9 4 1 18. x1 1 x2 = 4 x3 1 1 1 2 28 7 1
School: Yale
Course: Linear Algebra With Applications
LINEAR ALGEBRA HW 6 SOLUTIONS DANIEL COREY Section 4.2 4. These vectors cannot form a basis since they are linearly dependent. (It looks like u1 and u3 are dependent. In any event, three vectors in R2 must be dependent) 8. Let A be the matrix whose rows a
School: Yale
Course: Probability Theory
Stat 241/541 Final Exam 12/17/2012, 2:00-4:30PM. This is a two-hour-and-a-half exam for which you have three hours. Important: You may choose 5 out of the following 6 problems to work on. Please tell us what 5 problems to be graded! 1. (20 points) A docto
School: Yale
Course: None
1 Statistics for Decision Making final exam 1. Question: (TCO 9) The annual Salary of an electrical engineer is given in terms of the years of experience by the table below. Find the equation of linear regression for the above data and obtain the expected
School: Yale
Course: CalcOfFunctionsOfOneVariableII
uh 2 EJF W («wou- alpha-441:2, «9 3° 41%. ' 4 = _ ._.L E20 5 at 3" 3p ' 0:61 - How My Jaw; do You 14! 4° 151. a» W a? [0'3 WW 0.09°o? ' to: n V Wam? H .{évt L" N Jul»qu 1 MA-1"; 9" EN .4. luv-I 71°} l *4 _.L. ' ' r 1 (NH? 0 -. 4 to 5 (NH) ' 370 H?
School: Yale
Course: Discrete Mathematics
Math 244: Discrete Mathematics Practice Midterm Solutions This practice midterm will be most useful to you if you take it under exam-like conditions. Study as if you would for the actual exam and give yourself 75 minutes with no notes. Please show your wo
School: Yale
Course: Discrete Mathematics
Math 244: Discrete Mathematics Practice Midterm This practice midterm will be most useful to you if you take it under exam-like conditions. Study as if you would for the actual exam and give yourself 75 minutes with no notes. Please show your work and jus
School: Yale
Course: Calc:FunctionsSeveralVariables
u) Maq (10 MdJram 217:1 / L LTDPICB CoveveoL , ' Wf . V 3% Te :5 on chblocr (Mud) 7100 -8-$0Fm m OMLzo; 0. Choqt i7 Vaduz 2. The Geo nch/5 S?CLCQ Seahons cfw_11 r113 N6 calculqhHS ,1) Onawd 1% Ugdw Fundwns 2? ()S Lynda Sed'ums 13.1. - )3. 4 . _ Remew
School: Yale
Course: Calc:FunctionsSeveralVariables
3 mac/v, [10 Exam #1 M100 *0 Q 41" ' "rioowsnm 7%prszaj /\/O\/. I / . Tune " Loccdlow OML. 30.) i * Chaim 9? NquPle INGCJYOS 36% <c-~\kvrvlr ISAIMlaw/67 chap-m (g = WW CalculuS ( QCC V (mm is 1 (Amide Ilurah m3 ' Valuan xi double mic-3M9 funcdmn (Mum of
School: Yale
Course: Discrete Mathematics
Math 244: Discrete Mathematics Homework 10 Due in class Wednesday, December 4. Please email nathan.kaplan@yale.edu with questions. When you write up your homework please justify your solutions. If a problem asks you to count something its generally not en
School: Yale
Course: Discrete Mathematics
Math 244: Discrete Mathematics Homework 6 Due in class Wednesday, October 16. Please email nathan.kaplan@yale.edu with questions. When you write up your homework please justify your solutions. If a problem asks you to count something its generally not eno
School: Yale
Course: Discrete Mathematics
Math 244: Discrete Mathematics Homework 4 Due in class Wednesday, October 2. Please email nathan.kaplan@yale.edu with questions. When you write up your homework please justify your solutions. If a problem asks you to count something its generally not enou
School: Yale
Course: Discrete Mathematics
Math 244: Discrete Mathematics Homework 6 Due in class Wednesday, October 16. Please email nathan.kaplan@yale.edu with questions. When you write up your homework please justify your solutions. If a problem asks you to count something its generally not eno
School: Yale
Course: Discrete Mathematics
Math 244: Discrete Mathematics Homework 5 Due in class Wednesday, October 9. Please email nathan.kaplan@yale.edu with questions. When you write up your homework please justify your solutions. If a problem asks you to count something its generally not enou
School: Yale
Course: Discrete Mathematics
Math 244: Discrete Mathematics Homework 5 Due in class Wednesday, October 9. Please email nathan.kaplan@yale.edu with questions. When you write up your homework please justify your solutions. If a problem asks you to count something its generally not enou
School: Yale
Course: Probability Theory
Stat 241/541 Final Exam 12/17/2012, 2:00-4:30PM. This is a two-hour-and-a-half exam for which you have three hours. Important: You may choose 5 out of the following 6 problems to work on. Please tell us what 5 problems to be graded! 1. (20 points) A docto
School: Yale
Course: None
1 Statistics for Decision Making final exam 1. Question: (TCO 9) The annual Salary of an electrical engineer is given in terms of the years of experience by the table below. Find the equation of linear regression for the above data and obtain the expected
School: Yale
Course: Calculus
Solutions to some limit convergence denition problems Dustin Cartwright October 2, 2006 These are some possible questions which I came up with involving the definition of a convergent series, and solutions to these questions. The solutions are probably mo
School: Yale
Course: Linear Algebra With Applications
LINEAR ALGEBRA HW 4 SOLUTIONS DANIEL COREY Section 3.1 18. T is not linear since T (0, 0, 0) = (0, 4, 0) = (0, 0, 0) (see the solution to exercise 55 below). 22. The columns are linear dependent, so T is not one-to-one. The span of the columns is not all
School: Yale
Course: Linear Algebra With Applications
LINEAR ALGEBRA HW 5 SOLUTIONS DANIEL COREY Section 3.3 10. The augmented matrix 1 2 1 4 7 7 1 1 5 1 0 0 10 0 0 row reduces to 0 1 1 00 0 1 0 0 28 13 0 1 3 9 7 4 3 1 1 So the inverse of the matrix is 28 13 3 7 3 1 9 4 1 18. x1 1 x2 = 4 x3 1 1 1 2 28 7 1
School: Yale
Course: Linear Algebra With Applications
LINEAR ALGEBRA HW 6 SOLUTIONS DANIEL COREY Section 4.2 4. These vectors cannot form a basis since they are linearly dependent. (It looks like u1 and u3 are dependent. In any event, three vectors in R2 must be dependent) 8. Let A be the matrix whose rows a
School: Yale
Course: Linear Algebra With Applications
LINEAR ALGEBRA HW 7 SOLUTIONS DANIEL COREY Section 5.1 4. M23 0 = 0 3 2 2 6 0 0 M31 6 2 = 1 6 4 1 1 0 0 . 6 14. a) Expanding along the bottom row det A = (1)(4+2) 2 1 4 3 0 0 0 2 1 + (1)(4+3) (2) 1 1 4 1 2 2 0 1 = (12 3) 2(4 + 4 4 1) = 3 1 b) Expanding al
School: Yale
Course: Linear Algebra
Math 54 quiz solutions September 2, 2009 1 Find all solutions to the system of equations: x1 4x2 + 7x3 = 5 x2 4x3 = 3 2x1 6x2 + 6x3 = 4 We form the augmented matrix and use row operations to echelon form: 1 4 7 5 1 4 7 5 1 4 0 1 4 3 0 1 4 3 0 1 2 6 6 4 0
School: Yale
Course: Linear Algebra
Math 54 quiz solutions September 9, 2009 1. Describe the solutions to the following in parametric vector form: (3 points) x 3 1 4 0 1 0 2 1 2 5 x2 = 0 x3 1113 0 x4 We use elementary row operations to row reduce the matrix: 3140 1113 1113 2 1 2 5 2 1 2 5
School: Yale
Course: Linear Algebra
Math 54 quiz solutions 1 Here is a matrix and 1 1 A= 2 4 September 16, 2009 its echelon form: 2 1 0 1 1 954 6 5 3 0 6 1 2 0 0 9 1 9 2 1 0 0 9 3 0 0 54 0 7 1 2 00 Find bases for Col(A) and Nul(A) and state the dimensions of these subspaces. (6 points) A ba
School: Yale
Course: Linear Algebra
Math 54 quiz solutions September 23, 2009 1 Find the determinant of h A= 3 4 2 1 . 1 3 6 5 (4 points). For what values of h is A invertible (2 points)? We expand by minors along the rst row: det A = h 6 5 3 1 3 4 1 3 1 +2 4 1 6 5 = h(6 5) 3(3 + 4) + 2(15
School: Yale
Course: Linear Algebra
Math 54 quiz solutions September 25, 2009 1 Use Cramers rule to nd the value of x3 in the solution to the equation: 3 2 5 x1 2 1 1 3 x2 = 1 6 1 6 x 3 3 Call the matrix on the left hand side A. We compute the determinant of A by expanding by minors along
School: Yale
Course: Linear Algebra With Applications
LINEAR ALGEBRA HW 3 SOLUTIONS DANIEL COREY Section 2.2 16. 9 5 2 5 3 A= 1 x x= 1 x2 13 b = 9 2 30. The columns do not span R2 , for example e1 = (1, 0) is not in the span of the columns. 40. h can be any real number except h = 12/5 (this value of h is pre
School: Yale
Course: Linear Algebra With Applications
LINEAR ALGEBRA HW 2 SOLUTIONS DANIEL COREY Section 1.4 2. This amounts to solving the system corresponding to the augmented matrix 1 0 0 1 1 1 0 0 55 0 1 0 1 0 1 1 0 55 which row reduces to 0 0 1 1 1 0 0 1 30 0 0 1 1 30 000 0 30 25 30 0 So the possible v
School: Yale
Course: Multivariable Calculus
Math 120b Exam 1 Solutions 1. (a) A line is parallel to a plane if the direction vector of the line is perpendicular to the normal vector of the plane. The direction vector of this line is 1, 0, 1 ; the normal vector of this plane is 1, 2, 1 . Because 1,
School: Yale
Course: Multivariable Calculus
Math 120b Exam 2 Solutions 1. In the rst quadrant, the curves y = 4 x2 and y = 1 x2 are the portions of the circles of radius 2 and 1 in the rst quadrant. That is, the region has this form. The natural coordinate system for this region is polar, and the r
School: Yale
Course: Multivariable Calculus
Math 120b Exam 2 1. Suppose is the portion of the rst quadrant bounded by y = Evaluate 1 dA x2 + y 2 2. Evaluate /2 /2 y 0 y2 4 x2 and y = 1 x2 . sin(x) dxdy x 3. Integrating the vector elds along the paths indicated, which of these lines integrals is 0.
School: Yale
Course: Multivariable Calculus
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School: Yale
Course: Multivariable Calculus
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School: Yale
Course: Multivariable Calculus
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School: Yale
Course: Multivariable Calculus
A 3 d6 ! 5 dxsr5@z7d8d Y( 3 ! d @c5 Tj57(k! C s k9 e5$h573Q@F6e@Vuk@7YUk@G@573H # d 3# f ( ! ( # # !9 # ( 0 A 5xsr53 d 6 ! d Y ( 3 d 6 ! ! d ! R 9# d3# f ( ! ( # # !9 # ( 0 @z7d@eg @dx@5l@z7d@"(e@"(8) m$e5$h573Q@F6j@uG@"Yj@u@573H AE B ! !3 W 0 ! ! 0 (
School: Yale
Course: Linear Algebra With Applications
Math 222a - Linear Algebra & Applications Fall 2013 (Prof. Folsom) Yale University Study Guide for Midterm I General information about Midterm I. (Friday Oct. 4th 10:30am-11:20am) Our rst exam will consist of 3-5 problems, some consisting of multiple par
School: Yale
Course: Linear Algebra With Applications
Math 222a - Linear Algebra & Applications Fall 2013 (Prof. Folsom) Yale University Study Guide for Midterm 2 General information about Midterm 2. (Friday Nov. 8th 10:30am-11:20am) Our second exam will consist of 3-5 problems, some consisting of multiple
School: Yale
Course: Linear Algebra With Applications
LINEAR ALGEBRA HW 1 SOLUTIONS DANIEL COREY Section 1.1 18. This system is not in echelon form because the leading variable in the third row is to the left of the leading variable in the second row. 20. This system is in echelon form. The leading variables
School: Yale
Course: Linear Algebra
Math 54 quiz solutions October 14, 2009 1 Find matrices P and D, with D diagonal, such that: (4 points) 2 4 3 = P DP 1 . 1 The characteristic equation of the matrix is 2 4 3 = 2 3 + 2 12 = 2 3 10 = ( 5)( + 2). 1 (The factorization was found by looking for
School: Yale
Course: Linear Algebra
Math 54 quiz solutions October 21, 2009 1 Find an invertible matrix P and a matrix C such that 5 1 5 = P CP 1 1 where C = a b b . a (4 points) The characteristic equation is 5 1 5 = 5 6 + 2 + 5 = 2 6 + 10. 1 By the quadratic formula, its roots are: 6 36 4
School: Yale
Course: Linear Algebra
Math 54 quiz solutions October 28, 2009 1 Find the equation y = 0 + 1 x of the least-squares line that best ts the data points: (1, 0), (2, 1), (4, 2), (5, 3). (5 points) We have the matrices: 1 1 X= 1 1 0 1 . and y = 2 3 1 2 4 5 The normal equations ar
School: Yale
Course: Calculus Of Functions With One Variable
Math 112 - Problem set 6 Due date - Oct 12 1. Section 3.3: 4, 6, 14, 22, 40 (consider multiplying and dividing by something), 44. x x 2. Section 3.4: 8, 12, 34, 40, 50 (note that ee means e(e ) , and not (ee )x ), 60, 72. Practice problems (do but do not
School: Yale
Course: Calculus Of Functions With One Variable
Math 112 - Problem set 11 Due date - Nov 30 1. Section 4.5: 4, 16, 28, 34, 46. 2. The length a of the horizontal axis of an ellipse is decreasing at a rate of 2 inches per second, while the length of its vertical axis b is increasing at a rate of 1 inch p
School: Yale
Course: Probability Theory
Stat 241/541 Final Exam 12/17/2012, 2:00-4:30PM. This is a two-hour-and-a-half exam for which you have three hours. Important: You may choose 5 out of the following 6 problems to work on. Please tell us what 5 problems to be graded! 1. (20 points) A docto
School: Yale
Course: None
1 Statistics for Decision Making final exam 1. Question: (TCO 9) The annual Salary of an electrical engineer is given in terms of the years of experience by the table below. Find the equation of linear regression for the above data and obtain the expected
School: Yale
Course: CalcOfFunctionsOfOneVariableII
uh 2 EJF W («wou- alpha-441:2, «9 3° 41%. ' 4 = _ ._.L E20 5 at 3" 3p ' 0:61 - How My Jaw; do You 14! 4° 151. a» W a? [0'3 WW 0.09°o? ' to: n V Wam? H .{évt L" N Jul»qu 1 MA-1"; 9" EN .4. luv-I 71°} l *4 _.L. ' ' r 1 (NH? 0 -. 4 to 5 (NH) ' 370 H?
School: Yale
Course: CalcOfFunctionsOfOneVariableII
:0 01 Polar and; . (6-40: 3 Slorb I W vam: Wm WW x [X- rOOJG } _ . ' r . y? ruin? _ ,7 a, v (11 4" 153M9 - , ' . . x; ('2, P153140) c.pr _ Fw #1: in. A . _ Ye M + 1:130) m .9 7 "9 I. J .1 :c Qusame 4%? «Lumeo. NW 6x :0? '2, c.3161 r {2+ 23.3.3) Ji
School: Yale
Course: Discrete Mathematics
Math 244: Discrete Mathematics Practice Midterm Solutions This practice midterm will be most useful to you if you take it under exam-like conditions. Study as if you would for the actual exam and give yourself 75 minutes with no notes. Please show your wo
School: Yale
Course: Discrete Mathematics
Math 244: Discrete Mathematics Practice Midterm This practice midterm will be most useful to you if you take it under exam-like conditions. Study as if you would for the actual exam and give yourself 75 minutes with no notes. Please show your work and jus
School: Yale
Course: Calc:FunctionsSeveralVariables
u) Maq (10 MdJram 217:1 / L LTDPICB CoveveoL , ' Wf . V 3% Te :5 on chblocr (Mud) 7100 -8-$0Fm m OMLzo; 0. Choqt i7 Vaduz 2. The Geo nch/5 S?CLCQ Seahons cfw_11 r113 N6 calculqhHS ,1) Onawd 1% Ugdw Fundwns 2? ()S Lynda Sed'ums 13.1. - )3. 4 . _ Remew
School: Yale
Course: Calc:FunctionsSeveralVariables
3 mac/v, [10 Exam #1 M100 *0 Q 41" ' "rioowsnm 7%prszaj /\/O\/. I / . Tune " Loccdlow OML. 30.) i * Chaim 9? NquPle INGCJYOS 36% <c-~\kvrvlr ISAIMlaw/67 chap-m (g = WW CalculuS ( QCC V (mm is 1 (Amide Ilurah m3 ' Valuan xi double mic-3M9 funcdmn (Mum of
School: Yale
Course: CalcOfFunctionsOfOneVariableII
SOLUTIONS TO EXAM 2, MATH 115, FALL 2012 1. (65 points) The graphs of f (x), g(x), and h(x) are shown below. You may assume that as x , the graphs of f , g, and h continue in a fashion similar to the trends observed in the graphs. 3 gx 2 1 hx f x 0 1 2 3
School: Yale
Course: CalcOfFunctionsOfOneVariableII
Exam 1 Math 115 October 3rd, 2013 Name: Instructor: Section: 1. Do not open this exam until you are told to do so. 2. Do not separate the pages of this exam. If they do become separated, write your name on every page and point this out to your instructor
School: Yale
Course: CalcOfFunctionsOfOneVariableII
Exam 2 Math 115 April 10th, 2013 Name: Instructor: Section: 1. Do not open this exam until you are told to do so. 2. Do not separate the pages of this exam. If they do become separated, write your name on every page and point this out to your instructor w
School: Yale
Course: CalcOfFunctionsOfOneVariableII
Exam 2 Math 115 November 13th, 2013 Name: Instructor: Section: 1. Do not open this exam until you are told to do so. 2. Do not separate the pages of this exam. If they do become separated, write your name on every page and point this out to your instructo
School: Yale
Course: CalcOfFunctionsOfOneVariableII
Mathematics 115b Mid-term # 1 2/19/08 Name: Section: Please answer all SIX questions; each question is worth TEN points. You may use the table of integrals supplied with the test. However, books, notes, calculators, computers, cellphones may NOT be used.
School: Yale
Course: CalcOfFunctionsOfOneVariableII
Math 115 Exam 1 Practice This exam is meant to suggest the kind, diculty, and number of problems on the real exam. Note that topics covered in the course, but not included on this practice exam, still might appear on the real exam. Directions Set aside 90
School: Yale
Course: CalcOfFunctionsOfOneVariableII
1. Find the areas between these curves x = y 2 + 2y 4 and x = y + 2. 2. Find the volume of the solid formed by rotating the region between y = x2 and y = 2x about y = 2. 3. (a) Find the area enclosed by the curve r = 1 cos(), 0 2. (b) Find its arclength.
School: Yale
Course: CalcOfFunctionsOfOneVariableII
Math 115 Final Practice This exam is meant to suggest the kind, diculty, and number of problems on the real exam. Note that topics covered in the course, but not included on this practice exam, still might appear on the real exam. Directions Set aside 3 1
School: Yale
Course: CalcOfFunctionsOfOneVariableII
Exam 1 Math 115 October 3rd, 2012 Name:_ Instructor:_Section:_ 1. D o not open this exam until you are told to do so. 2. Do not separate the pages of this exam. If they do become separated, write your name on every page and point this out to your instruct
School: Yale
Course: Discrete Mathematics
Math 244: Discrete Mathematics Homework 10 Due in class Wednesday, December 4. Please email nathan.kaplan@yale.edu with questions. When you write up your homework please justify your solutions. If a problem asks you to count something its generally not en
School: Yale
Course: Discrete Mathematics
Math 244: Discrete Mathematics Homework 6 Due in class Wednesday, October 16. Please email nathan.kaplan@yale.edu with questions. When you write up your homework please justify your solutions. If a problem asks you to count something its generally not eno
School: Yale
Course: Discrete Mathematics
Math 244: Discrete Mathematics Homework 4 Due in class Wednesday, October 2. Please email nathan.kaplan@yale.edu with questions. When you write up your homework please justify your solutions. If a problem asks you to count something its generally not enou
School: Yale
Course: Discrete Mathematics
Math 244: Discrete Mathematics Homework 6 Due in class Wednesday, October 16. Please email nathan.kaplan@yale.edu with questions. When you write up your homework please justify your solutions. If a problem asks you to count something its generally not eno
School: Yale
Course: Discrete Mathematics
Math 244: Discrete Mathematics Homework 5 Due in class Wednesday, October 9. Please email nathan.kaplan@yale.edu with questions. When you write up your homework please justify your solutions. If a problem asks you to count something its generally not enou
School: Yale
Course: Discrete Mathematics
Math 244: Discrete Mathematics Homework 5 Due in class Wednesday, October 9. Please email nathan.kaplan@yale.edu with questions. When you write up your homework please justify your solutions. If a problem asks you to count something its generally not enou
School: Yale
Course: Discrete Mathematics
Math 244: Discrete Mathematics Homework 3 Due in class Wednesday, September 25. Please email nathan.kaplan@yale.edu with questions. When you write up your homework please justify your solutions. If a problem asks you to count something its generally not e
School: Yale
Course: Calc:FunctionsSeveralVariables
when 15. 6 542, Liv-(3 . :SCCUDH (6' 6 g! on). 2.41 (41417 1 1, 3 _ N 4 So , M 3) 3 K/thyma (LA-J, iIC'hQ h : a 2%) ) 1/ ha , 530 /[+(M)+(_/i(j)cm ,svjrc :ji / ,L ' " v S \j/JMH r (if 19- Z : (Rifkr) ll ' 0 0 v 3 lg _cfw__ 17 2'1. f 2 1 MT _L +
School: Yale
Course: Calc:FunctionsSeveralVariables
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School: Yale
Course: Calc:FunctionsSeveralVariables
3 gm M pl L0: / / Wke pqu MC, Marni, l$~|- AlLb I - uie: ,l2,18,2.,3 (Lu) =t3.3 $5 Iii; +,S,'4,>L,2ov P(0,W,07 2 j X: 3; 5 r W 5+ C m. k C. x- - [04 P(2/l,b) (H3)>< (RH-[Q-(I/ l> '29 5(2/02) " h : 3) 1+ 7 "J WNW 3(X/2)+g+4(2~l7:o JHg
School: Yale
Course: Calc:FunctionsSeveralVariables
ngh :20 MN g I M, 16, 30 N19: 4, 10) I8 1 2:3 18114, s" i I 7. -Z ,2 H: 7 AhCOL) x zz 95 M29 .333 _2 [it Li) :" L) X1 . L L. -. - " . Ll, 6 I K v 2 W< o 14 p a!) z, cfw_x - LSIWX "-O ,3 (05 K ~ 0 The CHhCCLl P13 ave Hwy; ' (1+ (Etn) O) (LN/1510in S
School: Yale
Course: Calc:FunctionsSeveralVariables
if |\M.AH[\l\J QLKLtUI|lvnI I) V] " "i lJU/ 3h Duet Odober [017.01% 2 a Hwt (w) 4 \J' rr Secnon IL 2 : l, 6, Uf- Mm. K)XH+U):f cfw_+039 5 gcoxi) ZCMO l (0. b 1- ., V ' g I: _[ 26 w 4, r - \D T is 089 zf 95:" y 19 3( L51" a . , 1 1 v? I cfw_m MNM ,