4.1
A firm is considering 3 mutually exclusive altertives as part of a production improvement program. The 3 alternatives are
as follows. Use an 8% MARR and suppose it has 6 years project life.
Alternative A
$15,000
$3,000
$6,400
Building Heights
Cost of
MA 221 Homework Solutions Due date: March 5/6, 2009
7.5 p. 383 #1, 3, 5, 6, 7, 15, 17, 19 (Underlined problems to behanded in) are For problems 1, 3, 5, and 6, solve the given initial value problem using the method of Laplace transforms.
1.) y - 2y 5y 0;
MA 221 Homework Solutions Due date: Tuesday, February 10, 2009
4.4 pg. 186 # 5, 11, 12, 13, 15, 16, 21, 22 (Underlined Problems areto be handed in) In problems 5 determine whether the method or not the method of undetermined coefficients can be applied to
MA 221 Homework Solutions Due date: February 17, 2009
Section 4.5 pg. 192 2b, 5, 7, 21, 27, 29 (Underlined Problems are to be handed in) 2.) Given that y 1 t 1/4 sin 2t is a solution to y 2y 4y cos 2t and that y 2 t t/4 - 1/8 is a solution to y 2y 4y t, u
MA 221 Homework Solutions Due date: February 19-20, 2009
Section 4.6 pg 197-98: 1, 3, 11, 18, 21 Section 8.5 pg 460 1, 3, 5,15 to be handed in) (Underlined problems are Section 4.6 pg 197-98 1.) Find a general solution to the differential equation using v
MA 221 Homework Solutions Due date: February 26/27, 2009
7.3 p. 365 #1, 3, 11, 21, 25a,b, 31, 33; be (Underlined problems are to turned in) For problems 1, 3 and 11, determine the Laplace transform of the given function using Table 7.1 and the properties
MA 221 Homework Solutions Due date: March 3, 2009
7.4 pg. 374 # 1, 3, 5, 7, 9, 12, 15, 17, 21, 23 are be (Underlined problems to handed in) For problems 1,3, 5, 7, and 9, determine the inverse Laplace transform of the given function. 6 1.) s-1 4 From tabl
E355 - Engineering Economics
Lecture 06 A: After Tax Analysis I
Chapter:12
Kathryn D. Abel, Ph.D.
School of Systems & Enterprises
Lecture 06 A
1
Learning Goals
1. Explain the process of After Tax Analysis as it is
practiced in most companies.
2. Understan
4.1
A firm is considering 3 mutually exclusive altertives as part of a production improvement program. The 3 alternatives are
as follows. Use an 8% MARR and suppose it has 6 years project life.
Alternative A
$15,000
$3,000
$6,400
Building Heights
Cost of
Confirming Pages
CHAPTER
4
TRANSIENT HEAT
CONDUCTION
T
he temperature of a body, in general, varies with time as well as position.
In rectangular coordinates, this variation is expressed as T(x, y, z, t), where
(x, y, z) indicate variation in the x-, y-,
E355 - Engineering Economics
Lecture 05 B: Depreciation
Chapter: 11
Kathryn D. Abel, Ph.D.
School of Systems & Enterprises
Lecture 05 B
Lecture Objectives
After completing this module you should
understand the following:
Overview of Depreciation
Depreci
E344:Fall2015
Problem Set 5: Diffusion
DUE by at the START of class Thursday October 15th
1) ThefollowingdiffusiondatawasobtainedforthediffusionofBurchardium(Bd)inStevensonium
Oxide(SvO).ThetemperaturedependenceofdiffusioncoefficientsisknowntofollowArrhen
MA 221 Homework Solutions Due Thursday/ Friday, February 5/6, 2009
4.2 p. 167-169 # 19, 47 4.3 p. 177 #26 4.4 p. 186 # 19 (Underlined problems are to be handed in) Section 4.2 For problem 19, solve the given initial value problem. 19.) y - 4y - 5y 0, y-1
Ma 221 Homework Solutions Due date: January 30, 2009
2.6 p.79 #21, 23, 28; 4.2 p.167 #1, 3, 7, 9, 17, 26, 27 29 (For 27 & 29 you may use the Wronskian.) (Underlined Problems are not handed in) 2.6 p.79 # 21, 23, 28 For 21, 23 and 28 use the method discuss
MA 221 Homework Solutions Due date: March 26/27, 2009
Page 671 Section 11.2 Problems 1, 3, 5, 6, 13, 15, 17 and 19 (Underlined problems are to be handed in) In problems 1, 3, 5 and 6 determine the solutions, if any, to the given boundary problem. 1.) y 2y
MA 221 Homework Solutions Due date: March 31, 2009
10.4, pg. 611 # 5, 6, 7, 9, 11, 13, 15 (Underlined Problems are to behanded in) In problems 5, 6, 7 and 9, compute the Fourier sine series for the given function 5.) fx -1 0x1 fx
b n sin nx T
n1
where b
MA 221 Homework Solutions Due date: April 2/3, 2009
Sec 10.2 Problems #19, 20, 22 Sec 10.6 Problem #3
Section 10.2
Solve the vibrating string problem with 3, L , and the given initial functions fx and gx. 19.) fx 3 sin 2x 12 sin 13x, gx 0 By letting 3 an
MA 221 Homework Solutions Due date: April 7, 2009
Section 10.6 Problems 5, 9, 11 (Underlined problems are to be handed in) 0 x a, 5.) fx h 0 x/a, fx h 0 L - x/L - a, axL and g0 0 The problem is consistent because g0 0 gL and f0 0 fL The formal solution is
MA 221 Homework Solutions Due date: April 14, 2009
Section 10.2, #27 & 29 (Underlined Problems are to be handed in) 27.)
2 u 1 u 1 2 u 0 r r r 2 r 2 2 with ur, RrT. Subsituting into the PDE we get R T 1 R T - 1 RT r r2 or r 2 R rR - T R T since the left
MA 221 Homework Solutions Due date: April 16/17, 2009
Section 10.4: 6, 8 Section10.5: 1, 3, 5 (Underlined problems are to be handed in) 6.) fx cos x 0x Here T fx
b n sin nx T
n1
where b n 2 T
0 fx sin nx dx T
T
2 bn Substituting fx 8.) fx - x 2 0x fx 2
Name:_ Lecture Section: _
Lecturer _
Ma 221
Exam IA
08S
I pledge my honor that I have abided by the Stevens Honor System._
You may not use a calculator, cell phone, or computer while taking this exam. All work must be shown to obtain full credit. Credit w
Ma 221 Homework Solutions Spring 2009 Due January 15/16, 2009
1.2 p.14 #1, 3, 5, 6, 7, 9, 8 1. dy (a) Show that x 2x 3 is an explicit solution to x dx 3y on the interval -, . Differentiating x gives: x 6x 2 Substituting and for y and y : dy x dx 3y xy 3y
Ma 221 Homework Solutions Spring 2009 Due January 20, 2009
1.2 p.14 # 4, 9, 11, 15, 20b, 21b, 22a,b (The underline denotes the problems that are handed in as part of the HW) In problem 4, determine whether the given function is a solution to the given dif
Ma 221 Homework Solutions Due Date: January 22-23, 2009
2.2 pg. 46 # 1, 4, 5, 7, 9, 11, 15, 17, 19, 21, 22, 23, 25 (Underlinedproblems are not handedin) In problems 1, 4 and 5, determine whether the given differential equation is separable. 1)
dy dx
2y 3
MA 221 Homework Solutions Due date: Tuesday, January 27, 2009
pg. 65 Sec. 2.4 # 9, 11, 13, 15, 17, 19, 23, 25, 27a, 29 (Underlined Problems are not turned in) In problems 9, 11, 13, 15, 17 and 19, determine whether the equation is exact. If it is, then so
E344:Fall2015
Problem Set 5: Diffusion
DUE by at the START of class Thursday October 15th
1) ThefollowingdiffusiondatawasobtainedforthediffusionofBurchardium(Bd)inStevensonium
Oxide(SvO).ThetemperaturedependenceofdiffusioncoefficientsisknowntofollowArrhen