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.
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