Asked by Connie wong
Show how the function y = e^(-x) sin x could represent damped oscillation.
a) Determine the local extreme for a sequence of wavelengths.
b) Show that the local maxima represent exponential decay.
a) Determine the local extreme for a sequence of wavelengths.
b) Show that the local maxima represent exponential decay.
Answers
Answered by
Steve
(a) there is a local extreme every time sinx = cosx: x = π/4 + kπ
(b) since the maxima occur when sinx=1, the envelope of these maxima is the curve y=e^-x.
(b) since the maxima occur when sinx=1, the envelope of these maxima is the curve y=e^-x.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.