harris (tlh2479) PostClass 11.7 morales (56815)
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001
10.0 points
Determine whether the series
m
m1
(1)
2m + 7
and f
harris (tlh2479) PostClass 6.1 morales (56815)
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001
1
But
0
1
(x3 x2 2x) dx
10.0 points
=
The shaded region in
14 13
harris (tlh2479) PostClass 11.9 morales (56815)
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001
10.0 points
Find a power series representation for the
function
harris (tlh2479) PostClass 7.5 morales (56815)
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001
10.0 points
1
1. I = 3 2 correct
3
2
2
3. I = 6 2
2. I =
Evaluat
harris (tlh2479) PostClass 6.2 morales (56815)
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001
To apply this we have rst to express x as
a function of y since i
harris (tlh2479) PostClass 11.4 morales (56815)
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001
Determine whether the series
n=1
Determine whether the series
3
harris (tlh2479) PostClass 11.5 morales (56815)
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001
1.
n=1
2.
n=1
3.
n=1
(1)
n
5+ n
2
5+ n
1+
n
bn =
1
.
1+ n
(i) bn
harris (tlh2479) PostClass 11.6 morales (56815)
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001
10.0 points
Determine whether the following series
n=1
5n
(n +
Chapter 4 Power Series Solutions
4.3 The Method of Frobenius
4.3.1. Singular points
y" + p(x)y' + p(x)y = 0.
(1)
From Section 4.2, we know that we can find two LI (linearly independent) solutions as power series expansions
about any point x0 at which both
Chapter 1 Introduction to Differential Equations
Consider the motion of a body of mass m along a straight line, which we designate as an x axis. Let the mass be
subjected to a force F(t) along that axis, where t is the time. Then according to Newton's sec
harris (tlh2479) PostClass 7.4 morales (56815)
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001
10.0 points
Thus
4
I=
2
1
1
1
dx.
+
2 x1 5x
I=
2
Hence after inte
harris (tlh2479) PostClass 7.3 morales (56815)
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001
Consequently,
I = + C = sin1
002
1
dx .
12x x2
4. I = 2
0
x6
+ C
harris (tlh2479) PostClass 7.2 morales (56815)
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001
Consequently,
I = 3t +
1
2
sin 6t +
sin 12t + C
3
12
with C an ar
harris (tlh2479) PostClass 5.3 morales (56815)
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001
10.0 points
The graph of f is shown in the gure
6
6
5
4
4
3
2
2
1
harris (tlh2479) PostClass 11.3 morales (56815)
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But
lim ln(ln(5t) = .
t
Consequently,
t
001
t
1
does not exist. The
harris (tlh2479) PostClass 11.8 morales (56815)
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001
Determine the radius of convergence, R, of
the series
n=1
10.0
harris (tlh2479) PostClass 7.8 morales (56815)
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001
10.0 points
Oil is owing from a well in a continuous
stream at a
harris (tlh2479) PostClass 11.2 morales (56815)
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001
Determine if the series
k=1
while
3k
=
5k
k=1
k=1
2 + 3k
5k
sum
harris (tlh2479) PostClass 11.1 morales (56815)
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1
Determine if the limit
lim
n
n ( n + 8 n 2)
exists, and nd its val
harris (tlh2479) PostClass 5.4 morales (56815)
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001
10.0 points
A colony of feral cats is increasing at a rate
of 4
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001
and passes through the point (2, 2). Find the
y -intercept of thi
harris (tlh2479) PostClass 11.10 morales (56815)
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001
10.0 points
Find the Taylor series for f centered at
x = 6 whe
harris (tlh2479) PostClass 7.1 morales (56815)
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001
1. I = 1
2. I =
3. I = 2
10.0 points
Evaluate the integral
4. I