Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 43SE: Let f(x)=1x . Find the number b such that the average rate of change off on the interval (2,b) is...
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Let f(x) be a function of period 27 such that f(z) =2 in the range — 7
![Let f(x) be a function of period 27 such that
f(x) = x in the range - T < x <T.
a) Sketch a graph of f(x) in the interval 3T < x < 37
b) Show that the Fourier series for f(x) in the interval -T < x < T is
2 sin x –
sin 2x +
sin 3x
...
c) By giving an appropriate value to x, show that
1
1
=1-
1
+
ト
|
4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7da07175-e166-40ea-89d9-bf4329eaf0fd%2F0786408c-24e4-4d6e-9742-3b0c01d8a106%2Fsx85x0q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let f(x) be a function of period 27 such that
f(x) = x in the range - T < x <T.
a) Sketch a graph of f(x) in the interval 3T < x < 37
b) Show that the Fourier series for f(x) in the interval -T < x < T is
2 sin x –
sin 2x +
sin 3x
...
c) By giving an appropriate value to x, show that
1
1
=1-
1
+
ト
|
4
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