Exam 2 on Sections 4.1-6.1
Math 15 SMC Fall 2013
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Problems 1 and 3 each 10 points, problem 3, 9 points, the rest each 14 points.
1) Verify that the given functions form a fundamental set of solutions of y'+16y = 0 on the interval
(!",

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Math 81
Name
Activity #8
Least Common Multiple
Find the least common multiple of 24 and 30.
Method 1: Listing multiples
List the multiples of 24:
24, _, _, 96, _, 144
List the multiples of 30:
30, _, 90, _, 150
The Least commo

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Math 81
Activity # 11
Name
Mixed Number Borrowing
One of the greatest challenges in Basic Mathematics is the concept of
borrowing. Borrowing takes place when subtracting two mixed numbers and the
fraction part of the sub

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Math 81
Activity # 1
Name
Whole Number Division With Zero(s) In The Quotient
There are three ways to denote division:
1) Dividend Divisor
2)
Dividend
Divisor
3) Divisor Dividend
The third format is commonly referred to a

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Math 81
Name
Activity #5
Prime Factorization
The Prime Factorization Of A Whole Number
Every whole number greater than one, is either a prime number or can be factored as a
product of prime numbers. This product of prime

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Math 81
Activity # 2
Name
Order of Operations
Order of operations:
1) Perform the operation inside the grouping symbols ( ),[ ],cfw_ first.
Work with the innermost grouping symbols first and work
outwards.
2) Exponents

Exam I (covers Chapters 13)
Math [5 Spring 20l4 _
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Each problem has 10 points.
1. State the existence and uniqueness theorem. Does the theorem applicable to the following IVP to show it
. . d .
has a umquc solutlon: (iy a 3x (yl . y)

Exam 3 on Chapters 6 and 7 and Sections 8.1-8.2
Math 15 SMC Spring 2014
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Problems 1-5 each 14points, 6-7 each 15 points.
f (t)
Lcfw_ f (t) = F(s)
1
1
1
s
3
tn
7
sin kt
8
cos kt
11
e at
51
52
53
(t t 0 )
e at f (t)
f (t a)U (t a)
54
U

Exam 3 on Chapters 6 and 7
Math 15 SMC Fall 2013
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f (t)
Lcfw_ f (t) = F(s)
1
1
1
s
3
tn
7
sin kt
8
cos kt
11
e at
51
52
53
# (t " t 0 )
e at f (t)
f (t " a)U (t " a)
54
U (t " a)
55
f (n ) (t)
56
t n f (t)
t
57
%
0
!
Name:_
f ($ )g(t " $ )d$

Exam 1 (covers Chapters 1 through 3) Math 15
Fall 2013
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1/3
1.
Prove that
dy
y
=
, y(0) = 0 does not have a unique solution, by providing at least two solutions. Does the
dx
x +1
existence and uniqueness theorem for IVP applicable her