Answer:
The correct answer is 3/8
Step-by-step explanation:
It was in my practice and I had gotten it correct.
The rate of change is 15. We know this because 30 - 15 = 15, 45 - 30 = 15, and 60 - 45 = 15.
The next item in the sequence would be 75, since 60 + 15 = 75.
y = mx + b, where b is the y intercept.
D, or "12" is the answer.
Best of luck.
The full range is

(length

), so the half range is

. The half range sine series would then be given by

where

Essentially, this is the same as finding the Fourier series for the function

Integrating by parts yields

So the half range sine series for this function is simply