Why is f(t)= 5t-2*cos(5000*pi*t) not periodic? Does it not stay at amplitude 2 to-2 and oscillates forever?

Question

anonymous · Answer

But because of that t, The amplitude can vary.

anonymous · Answer

the 5t?

anonymous · Answer

Your amplitude is (5t-2) right?

anonymous · Answer

nono

anonymous · Answer

5t-(2cos(5000*pi*t))

anonymous · Answer

sorry for the confusion

anonymous · Answer

I guess the 5t changes the amplitude everytime

zepdrix · Answer

Yah so the cosine part is doing the wave. Back and forth back and forth, periodic yes.

But then the 5t is linear, causing the wave to move upward.

anonymous · Answer

That 5t causes a vertical pellet thought depending on the value of t.

anonymous · Answer

shift*

anonymous · Answer

so periodic it has to be a constant pattern can't keep changing

anonymous · Answer

I see it now thanks for your guys' help wish I could give both of you best answers

zepdrix · Answer

Yah periodic would mean it REPEATS.

Yes the PATTERN is repeating, but the values are not. The values keep getting larger and larger.

I can see how that might be confusing though :)

anonymous · Answer

Yeah gotcha thanks a lot man!