In each of Problems 27 through 43 , solve the given initial value problem. Sketch the graph of its solution and describe its behaviour for increasing t . y ' ' + 4 y ' + 4 y = 0 , y ( − 1 ) = 2 , y ' ( − 1 ) = 1
In each of Problems 27 through 43 , solve the given initial value problem. Sketch the graph of its solution and describe its behaviour for increasing t . y ' ' + 4 y ' + 4 y = 0 , y ( − 1 ) = 2 , y ' ( − 1 ) = 1
In each of Problems
27
through
43
, solve the given initial value problem. Sketch the graph of its solution and describe its behaviour for increasing
t
.
y
'
'
+
4
y
'
+
4
y
=
0
,
y
(
−
1
)
=
2
,
y
'
(
−
1
)
=
1
0
n
AM
RIES
s of
of
10
m
Frequency
40
Frequency
20
20
30
10
You make two histograms from two different
data sets (see the following figures), each
one containing 200 observations. Which of
the histograms has a smaller spread: the first
or the second?
40
30
20
10
0
20
40
60
0
20
20
40
60
60
80
80
100
80
100
4 Consider f(x) periodic function with period 2, coinciding with (x) = -x on the interval
[,0) and being the null function on the interval [0,7). The Fourier series of f:
(A) does not converge in quadratic norm to f(x) on [−π,π]
(B) is pointwise convergent to f(x) for every x = R
П
(C) is in the form
-
4
∞
+Σ ak cos(kx) + bk sin(kx), ak ‡0, bk ‡0
k=1
(D) is in the form ak cos(kx) + bk sin(kx), ak 0, bk 0
k=1
TIP
the
aren't, the data are not sym
11
Suppose that the average salary at a certain
company is $100,000, and the median salary
is $40,000.
a. What do these figures tell you about the
shape of the histogram of salaries at this
company?
b. Which measure of center is more appro-
priate here?
c. Suppose that the company goes through a
salary negotiation. How can people on
each side use these summary statistics to
their advantage?
6360 be
52
PART 1 Getting Off to a Statistically Significant S
Chapter 4 Solutions
Differential Equations: An Introduction To Modern Methods And Applications 3e Binder Ready Version + Wileyplus Registration Card
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