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

1. Dido525

But because of that t, The amplitude can vary.

2. allsmiles

the 5t?

3. Dido525

4. allsmiles

nono

5. allsmiles

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

6. allsmiles

sorry for the confusion

7. allsmiles

I guess the 5t changes the amplitude everytime

8. zepdrix

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.

9. Dido525

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

10. Dido525

shift*

11. allsmiles

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

12. allsmiles

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

13. zepdrix

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 :)

14. allsmiles

Yeah gotcha thanks a lot man!