Answers to Selected Problems - West Valley College

Problem Sets Physics 4D
A particle is known to be in a certain interval on the x-axis. A function dependent upon the particle’s
position is given as:
0,
x 0
f( x)
1,
0 x
a) Plot this function.
b) Find the Fourier Series of this function on the given interval.
c) Graph the sum of the first seven terms of this function on the same graph used for part a).
Answer(s)
b)
n
1 1 1 1
f ( x)
sin nx
2 n1
n
Melvin J. Vaughn Page 48 of 61 West Valley College