Homework 2 Solution
Problem 1 (2 marks) Find the complement of the following function: x + Y(Z + (X + Z)') C hange every variable to its complement and exchange ands and ors. F' = X' (Y' + (Z' (X + Z) = X' (Y' + (Z'X +Z'Z)
= X' (Y'
+ XZ')
O r applying De-
Solution for ST516 HW2
2.11. The breaking strength of a fiber is required to be at least 150 psi. Past experience has indicated that the standard deviation of breaking strength is = 3 psi. A random sample of four specimens is tested. The results are y1=14
Statistics 203 Introduction to Regression and Analysis of Variance Assignment #2 Solutions1
Question 1: a) Note that the following solution is only one of many possible ways to answer this question.
> library(leaps) > library(car) > > > > > edu<-read.tabl
Solution HW2
1. To calculate the steady-state level ratio of income per capita, we first find the steady-state level for each country and then divide. The steady-state level ratio for Country X to Y is given by:
y X ,ss AX = yY ,ss AY
1 1
X n + X X Y nY
Solutions to some problems from HW1
Math H264
1.3.3. Let f (x, y ) = x1 sin(xy ), x = 0. How would youde ne f (0, y ), y R, so as to make f a continuous function on R2 ? Solution. For each y , if we x it and nd the limit of f at (0, y ) with respect to x,
Suggested Solution for HW1
February 7, 2011
1
1.1
Problem 1: tax on labor income
Households problem
The household chooses (c, l) to maximise the utility function U (c, l) subject to the following budget constraint: c (1 )w(1 l) + d + t (1)
The households
Math 135, HW2 solutions to selected exercises
Mike Hall
p. 384 5d) Find a function whose Laplace transform is equal to Using partial fractions decomposition we see that 1 1 1 = = L[1] L[ex ] = L[1 ex ] p(p + 1) p p+1 so f (x) = 1 ex is a solution (which i
Math Meth HW1 Solutions
Szilard Farkas a)
1. (i) No. (a b) c = a/(bc), a (b c) = a/(b/c) = ac/b, so the product is not associative. (ii) a = (24)(153) and b = (12)(354). We will see that if two permutations are of the same type, which means that the numbe
Math1030: HW1 solution HW1: Sect 1.2 p15, Q12, Q16 Q19, Q20, Q21 12. Let E denote the set of even functions. For any f, g E , f (t) = f (t) , g (t) = g (t), (f + g )(t) = f (t) + g (t) = f (t) + g (t) = (f + g )(t), t R. So (f + g ) E . Addition is well-d
MA104 SOLUTIONS
1. HW1
n
1.4 Guess a formula for
i=1
(2i - 1) and prove it via the PMI.
(a): Get a piece of graph paper and darken 1 unit square, then the 3 squares north, northeast, and east of that square. Now you have a square of area 4. Now darken the
Solutions to HW1
1. Problem 3.1 from Stock & Watson. The central limit theorem suggests that when the sample size (n) is large, the distribution of the sample average (Y ) is approximately N (Y , 2 ) with 2 = Y Y 100, 2 = 43.0, we have: Y (a) n = 100, 2 =
Solution for HW1
STA113 ISDS September 5, 2004
13.
a. A1 A2 = cfw_awarded project 1 or 2 P (A1 A2 ) = P (A1 ) + P (A2 ) P (A1 A2 ) = 0.22 + 0.25 0.11 = 0.36
b. A1 A2 =cfw_awarded neither project 1 nor 2 P (A1 A2 ) = P (A1 A2 ) ) = 1 P (A1 A2 ) = 0.64
c. A
C S/MA320 HW 2 S olutions
Quiz 2 will be on this material on Wednesday, Oct. 30, in the first 20 minutes. First, I list Reading Assignment & Solved Exercises to look at. 2.1 Reading: Study everything but skip Exercise 20. Exercises With Solutions in 2.1:
HW2 Solutions
Dilip Raghavan September 13, 2008
1
Section 5.2
Problem 28. Though the problem does not make this clear, I'm assuming that the teams are not ordered. That is, if I take all the members of Team 1 and swap them with all the members of Team 2,
[SOLUTION] HW2:SQL CIS330 Due: Feb. 8th, 2011
This problem set involves using the relational database system Oracle, which is available on eniac. The query language for this system is SQL. Instructions for creating an Oracle account and starting the Oracl
Math 103A Homework Solutions HW2
Jacek Nowacki January 28, 2007
Chapter 2
Problem 8. Show that the set cfw_5, 15, 25, 35 is a group under multiplication modulo 40. What is the identity element of this group? Can you see any relationship between this group
Srping 2007 Math 510 HW2 Solution
Section 2.4.
3 16. Prove that in a group of n > 1 people there are two who have the same number of 2 acquaintances in the group. (it is assumed that no is acquainted with himself or herself.)
Proof. Let a1 , a2 , . . . ,
Math103B Homework Solutions HW2
Jacek Nowacki April 29, 2007
Chapter 14
Problem 6. Find all maximal ideals in a. Z8 , b. Z10 , c. Z12 , d. Zn . Proof. We begin by noticing that each ring in this problem considered as a group is cyclic (this has to do with
CS152, Spring 2011, Assignment 2 Due: Thursday 24 February 2011, 10:00AM
Last updated: February 8 Ensure you understand the course policies for assignments. hw2.tar, available on the course website, contains several Caml les you need. This assignment cons
HW2 MAT 267 Advanced Ordinary Differential Equations
Due: October 18, 2010
1. An n-th order homogeneous linear differential equation is an ODE of the form y (n) + p1 (t)y (n1) + p2 (t)y (n2) + + pn2 (t)y + pn1 (t)y + pn (t)y = 0, where y (k) denotes the k
ESD.36J System and Project Management HW2 Task-based Design Structure Matrix
Master Solution Due: 9/18/03
1. Construct a Design Structure Matrix (DSM), with dimensions 13x13, including all UAV tasks b through n (all tasks except "start" and "finish"). Thi
HW2 Solutions
1. (P5.7) Assume that an one-bit (history bit) state machine is used as the prediction algorithm for predicting the execution of the two branches in this loop. Indicate the predicted and actual branch directions of the b1 and b2 branch instr
HW1 SOLUTION
1. Chapter 2 Problem 2: Suppose you have algorithms with the six running times listed below.(Assume these are the exact number of operations performed as a function of the input size n.) Suppose you have a computer that can perform 1010 opera
Suggested solutions for HW2 Econ 3070
February 5, 2009
Carefully show how you derive you answer and be sure to interpret your answer where necessary. 1. (a) The utility function is U (H) = 10H - H 2
25 20 15 U(H) 10 5
0
2
4
H
6
8
10
Marginal utility is: U
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HW1
Solutions
Problem 1: Each of ten people simultaneously requests a distinct movie from a new service that broadcasts 3D movies. These 3D movies are broadcast as a left and a right stream, which are distinct. (So 10 distinct movies, 20 distinct streams
ECE302 Spring 2006
HW1 Solutions
January 16, 2006
1
Solutions to HW1
Note: These solutions were generated by R. D. Yates and D. J. Goodman, the authors of our textbook. I have added comments in italics where I thought more detail was appropriate.
Problem
C S/MA320 HW1 Solutions - Parts 1 & 2
1 .1 Reading. All of this is relatively important. A lot of it is how to translate between Logic and English sentences - I will not spend much time on this in class, but will answer questions. When in doubt as to impo
Math 220a - Hw1 solutions (Revised) 1. Linear - (b) Semilinear - (a),(d) Quasilinear -(e) Fully nonlinear - (c) 2. The equations for the characteristic curves are dt(r, s) ds dx(r, s) ds du(r, s) ds =1 =x = t3
The boundary conditions can be re-written in