7.29. (a) Expand f(x) = cos z, 0 << r, in a Fourier sine series.
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
please help number 7.29 part (a)
![FOURIER SERIES
7.26. Graph each of the following functions and find their corresponding Fourier series using properties
of even and odd funetions wherever applicable.
8 0<z<2
1-8 2<=< 4
(a) f(x) =
Period 4
(b) f(x) =
Period 8
0 5x < 3
10 -3 <x< 0
2x
(e) S(z) = 4z, 0 < z < 10, Period 10
(d) f(z) =
Period 6
7.27. In each part of Problem 7.26, tell where the discontinuities of f(x) are located and to what value
the series converges at these discontinuities.
(2-z 0<z< 4
-6 4<a < 8
7.28.
Expand f(z) =
in a Fourier series of period 8.
7.29. (a) Expand f(z) = cos z, 0 < z < r, in a Fourier sine series.
(6) How should f(x) be defined at z = 0 and = so that the series will converge to /(x) for](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F28fe758a-931b-4bc3-bed6-2af980b4c9c4%2F2ed613fd-7667-424b-a24a-d6758f2543cb%2Fayne09_processed.png&w=3840&q=75)
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