1. GIVEN: f(v)= ⎩
⎨
⎧
​
−1,0≤v<2
0,2≤v<4
4v,4≤v<6
​
Calculate the FOURIER COSINE SERIES of the given step function of f(v)= 2
1
​
a 0
​
+∑ n=1
[infinity]
​
a n
​
cos p
nπv
​
2. GIVEN: f(z)=2z−5,0≤z<10 a) Find the FOURIER SERIES of the ODD extension of the given function, if f odd ​
(z)= 2
1
​
a 0
​
+∑ n=1
[infinity]
​
a n
​
cos p
nπz
​
+∑ n=1
[infinity]
​
b n
​
sin p
nπz
​
b) Graph f odd ​
(z),−10≤z<10