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Math 55 Final Exam Spring 2014
All problems are worth 20 points each. Please show all of your work. Page 1 of 2
Solve the following differential equations and IVPs:
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#1.) 4y +4y +17y=0, y(0)=-1. y(0)=2 A106): 6’ (« (053*: +13; Si~2t
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Math 55 Final Exam Spring 2012
All problems are worth 20 points each. Please show all of your work.
Solve the following differential equations and IVPs:
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#L)5yﬁhy=—6n yun=o,y10)=_1o g(t)- Adﬂt: — our~4z fJOZ’
#2.) xﬂ—4y=x6ex a”) ’2‘
Math 55 Final Exam Spring 2012
All problems are worth 20 points each. Please show all of your work.
Solve the following differential equations and IVPs:
#1.)
5 y y 6t
#2.)
x
y 9 y
#5.)
y 0 0
,
y 0 10
dy
4 y x6e x
dx
#3.)
#4.)
,
9t
e 3t
y 4 2 y y 0
e
2y
[<6 y
Math 55 - Test #1 (Chapters 1-2) Spring 2014
Please show all of your work for full credit. Each problem is worth 14 points, plus 2 "free"
points. 100 points in total.
Solve the equations below:
#1.)51x——i=t2+2 LL-t)27-i—‘l’x(t-l)+f({‘—l)+3lfrl)b\[-t
Math 55 - Test #2 (Chapters 3-4) - Spring 2012 f; i
Please show all of your work. This test has 100 points.
Solve the following second order differential equations by using either undetermined coefficients or
variation of parameters, as appropriate:
#1.)
Math 55 Test #4 (Chapter 9) Spring 2014
Please show all of your work. There is a total of 100 points on this test. Problems 1 and 2 are worth 10
points each, the other problems are worth 20 points each.
#1.) Transform the given equations into a system of
Math 55 Test #4 (Chapter 7) Spring 2013 KE Y
Please show all of your work. There is a total of 100 points on this test. Problems 1 and 2 are worth 10
points each, the other problems are worth 20 points each.
#1.) Transform the given equations into a syste
Math 55 Test #3 (Chapters 7-8) Spring 2014 - Part 1
Please show all of your work in order to receive full credit. Although this test is closed book and
closed notes you will need to use a Table of Laplace Transforms for problems 2 and 3. There are 100
poi
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Math 55 Test #3 (Chapters 5-6) Spring 2013
Please show all of your work in order to receive full credit. Although this test is closed book and
closed notes you will need to use a Table of Laplace Transforms for problems 2 and 3. There are 10
KEY
Math 55 - Test #2 (Chapters 3,4, 6) Spring 2014
Please show all of your work for full credit. Each problem is worth 20 points. 100 points in
total.
Solve the following second order differential equations by using either undetermined
coefficients or va
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Math 55 - Test #2 (Chapters 3,4, 6) Fall 2014
Please show all of your work for full credit. Each problem is worth 20 points. 100 points in
total.
Solve the following second order differential equations by using either undetermined
coefficients or variat
Math 55-Test #1 (Chapters 1-2) Fall 2014 My
Please show all of your work for full credit. Each problem is worth 14 points, plus 2 "free"
points. 100 points in total.
Solve the equations below:
#1)d_y_3x_2y—yi “lg/‘77 rpé’ +71%»! +):’J, :;
dx 2x+3xy* ‘ ‘
d
Short Projects for Math 5B in Stewart's Calculus - 7th edition
Page
461
480
529
569
575
586
668
677
688
727
791
791
801
Topic
Where to Sit at the Movies
The Origins of L'Hospital's Rule
Patterns in Integrals
Arc Length Contest
Rotating on a Slant
Compleme
Integration in Finite Terms: The Liouville Theory
Author(s): Toni Kasper
Source: Mathematics Magazine, Vol. 53, No. 4 (Sep., 1980), pp. 195-201
Published by: Mathematical Association of America
Stable URL: http:/www.jstor.org/stable/2689612 .
Accessed: 07
Hyperbolic Space for Tourists
Viktor Bl
asjo
Mathematical Institute, Utrecht University, 3508TA Utrecht, The Netherlands
v.n.e.blasjo@uu.nl
Synopsis
We discuss how a creature accustomed to Euclidean space would fare in a world
of hyperbolic or spherical g
The Limit of xx& x as x Tends to Zero
Author(s): J. Marshall Ash
Reviewed work(s):
Source: Mathematics Magazine, Vol. 69, No. 3 (Jun., 1996), pp. 207-209
Published by: Mathematical Association of America
Stable URL: http:/www.jstor.org/stable/2691470 .
Ac
The Xx Spindle
Author(s): Mark D. Meyerson
Reviewed work(s):
Source: Mathematics Magazine, Vol. 69, No. 3 (Jun., 1996), pp. 198-206
Published by: Mathematical Association of America
Stable URL: http:/www.jstor.org/stable/2691469 .
Accessed: 09/02/2013 11:
Ramanujan and Pi
Some 75 years ago an Indian mathematical genius developed ways
of calculating pi with extraordinary efficiency. His approach is now
incorporated in computer algorithms yielding millions of digits of pi
by Jonathan M. Borwein and Peter B.