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## Homework Statement

A particle has displacement x(t) = (t^3 - t^2)e^-t for times 0=<t=<9.

Find its velocity v(t) and determine for what times the particle is moving

in the positive x direction.

## Homework Equations

Differentiating x(t) you get v(t)=-t(t^2-4t+2)e^-t

## The Attempt at a Solution

I differentiated the equation but I am lost on how to get the times it is moving in the positive x direction.