# How do you find the amplitude for #y(t) = 1/4e^-t cos6t#?

##### 1 Answer

Aug 14, 2018

In this damped oscillation, as in springs, the amplitude

#### Explanation:

In the amplitude-damping periodic oscillation,

t-intercepts;

the amplitude

is a function of time t that

The period is

See the second graph, for the exponential decay of amplitude..

graph{y-1/4e^(-x) cos (8x) = 0[0 6 -1.5 1.5]}

Amplitude-decay graph:

graph{(y-1/4e^(-x))(y-0.04) = 0[0 5 0 1]}

See just one-in-many referenceas:

https://deutsch.physics.ucsc.edu/6A/book/harmonic/node18.html