# Homework Help: Graph displacement as function of time

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1. Feb 2, 2016

### Gbox

1. The problem statement, all variables and given/known data
let there be $\beta(t+\tau)^{-2}e^{-3}cos(at^{3})$ where $\beta$, $\tau$ and $a$ are constants

2. Relevant equations

$\beta(t+\tau)^{-2}e^{-3}cos(at^{3})$

3. The attempt at a solution

I know the graph is going up and down exponential but how can I draw it more accurately?

2. Feb 2, 2016

### RUber

Find some benchmarks to plot...i.e. t = 0, $t^3 =$ some multiple of $\pi/a$.
Once you have some of those magnitudes and periods, you should have all you need.

3. Feb 2, 2016

### Gbox

I have a lot of constant so rather than at $t=0$ the answer says something like slope of about $\frac{1}{t^2}$ and frequency of about $t^3$ how did the get to it?

4. Feb 2, 2016

### RUber

Change all your constants to 0 or 1 (whichever makes more sense), then look at the remaining function of t.
What is the frequency of cosine?