Polytechnic Institute of NYU MA 1024/1324
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Math 354 Summer 2004
Homework #5 Solutions
Please write your answers on a separate sheet of paper, and include at least some intermediate steps
and English words.
This homework covers sections 3.1-3.4
Polytechnic Institute of NYU MA 1024/1324
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1
Chapter 6 Problem Set
Chapter 6
PROBLEMS
1.
[E, None, 4.2] Implement the equation X = (A + B) (C + D + E) + F) G using complementary CMOS. Size the devices so that the output resistance is the same
Solid State Physics
Homework Set 1
Solutions
January 30, 2002
1
Ibach and L th Problem 1.1
u
The Madelung constant is a specic example of a summation in Solid-State Physics generally
known as a lattic
Homework Solutions for Math 4800
Tim Anderton, Charlotte Cannon, Miles Fore, Brian Hunt, Jason Meakin, Onyebuchi Okoro, and Alex Pruss University of Utah Spring 2008
2
Chapter 2
2.2.1 (Miles) The orde
Design of Algorithms - Homework I (Solutions)
K. Subramani
LCSEE,
West Virginia University,
Morgantown, WV
[email protected]
1
Problems
1. Consider the following algorithm for sorting an array o
EE364b
Prof. S. Boyd
EE364b Homework 2
1. Subgradient optimality conditions for nondierentiable inequality constrained optimization. Consider the problem minimize f0 (x) subject to fi (x) 0, i = 1, .
EE364a, Winter 2007-08
Prof. S. Boyd
EE364a Homework 5 solutions
4.15 Relaxation of Boolean LP. In a Boolean linear program, the variable x is constrained
to have components equal to zero or one:
mini
MAT 444 H. Barcelo Spring 2004
Homework 1 Solutions
Section 2.1 Questions: 5. Assume that the equation xyz = 1 holds in a group G. Does it follow that yzx = 1 ? That yxz = 1 ? Answers: a) If xyz = 1 t
Math 208 Solutions to Homework Assignment 8
ez
:
(z +1)2
p205. 2. Let f (z ) =
We know that ez has a Taylor series expansion at z =
ez = e
1 z +1
e
thus we obtain
ez
=e
2
(z + 1)
1
1
X (z + 1)n
n!
n=0
CHAPTER 24 HOMEWORK SOLUTIONS
24.3.
IDENTIFY and SET UP: It is a parallel-plate air capacitor, so we can apply the equations of Sections
24.1.
Q
Q 0.148 10 6 C
EXECUTE: (a) C
so Vab
604 V
Vab
C
245
CALCULUS I SELECTED HOMEWORK SOLUTIONS
Section 2.1. (8) The slope of the tangent line to the graph of y = g(x) = 9 x2 at the point (2, 5) is given by g (2) = lim g(2 + h) g(2) h0 h 9 (2 + h)2 5 = lim
Math 331.5: Homework 12
Solutions
1. Consider the dierential equation y + 5y 6y = 0.
(i) Find a fundamental set of solutions of the dierential equation.
The characteristic equation is r2 + 5r 6 = 0. F
ECE 275A Homework #3 Solutions
1. Proof of (a). Obviously Ax = 0 y , Ax = 0 for all y . To show suciency, note
that if y , Ax = 0 for all y , then it must certainly be true for the particular value of
Polytechnic Institute of NYU MA 1024
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Polytechnic Institute of NYU MA 1024/1324
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Polytechnic Institute of NYU MA 1024/1324
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Polytechnic Institute of NYU MA 1024/1324
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Polytechnic Institute of NYU MA 1024/1324
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Polytechnic Institute of NYU MA 1024/1324
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Polytechnic Institute of NYU MA 1024/1324
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Polytechnic Institute of NYU MA 1024/1324
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MATH 113 HOMEWORK 6 SOLUTIONS
1. Abelian Groups
Problem 1.1 (Linear Algebra of Abelian Groups, Part I). Let A be an
abelian group, and suppose that cfw_a1 , . . . , an A is a generating set for A.
(1
Polytechnic Institute of NYU MA 1024
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