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## Homework Statement

A damped oscillator has a displacement x as a function of time t given by x = e

^{-t}cos(∏t). Find the time at which the displacement is a maximum, when it is a minimum, and also nd

the time when x is a point of inflection.

## Homework Equations

x = e

^{-t}cos(∏t)

## The Attempt at a Solution

I've no problem differentiating the equation, its when I come to finding the value of T that I am having trouble with.

Please see the attachment.