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x=A(e^-kt)(cos omega t)

first of all, how is the amplitude calculated if it decreases over time?? is it averaged?

what is e???

second of all, to calculate k, you need hooke's law and you need displacement. is this displacement averaged over time as well?

what is omega??

and what cos of what angle is used??

sorry if i'm being really vague but i'm really confused about this. thank you.