Plot the following trigonometric function over time?

Questions
1

I’m currently stuck on an exercise where I should plot the function: f(t) = sin(30·2?t)+sin(32·2?t) during the interval 0 < t < 1.5. And then I should decide the frequence of the two superposed oscillations which can be read from the graph. Is that the min, and max value?

My code right now:

 Plot[Sin[60*Pi*t] + Sin[64*Pi*t], {t, 0, 1.5}]

This gives me this graph:

9fd7b37084eea284205f3371858f6812.png
9fd7b37084eea284205f3371858f6812.png529×277 18.9 KB

Thanks in advance

2

To use Manipulate, need to decide which are the “control” variables. These are the variables you’d like to change during the simulation. i.e. the ones that have a slider or check box, etc… associated with them. In your case, you just then need one control variable, which is time range. In this case you can write

Manipulate[
Plot[Sin[60*Pi*t]+Sin[64*Pi*t],{t,0,tMax},
Frame->True,
FrameLabel->{{"f(t)",None},{"time (sec)",None}},
BaseStyle->14,
PlotStyle->Red,
GridLines->Automatic,GridLinesStyle->LightGray,
PlotRange->{Automatic,{-2.1,2.1}},
ImageSize->400]
,
{{tMax,1,"time"},0,1.5},
Alignment->Center,
ImageMargins->0,
FrameMargins->0,
Paneled->True,
Frame->False,
SynchronousUpdating->False,SynchronousInitialization->False
]

which gives

8960movie.gif

If you want also to change say the frequency and see what happens, then add another control variable and make new slider, and so on.

3

If you look at my edited post, it turns out that I dont have to use Manipulate. I need to decide the frequence of the two superposed oscillations which can be read from the graph. Is that the min, and max value?

4

This is not a Mathematica question. It is a math question.

5

@Jhn Snd, Welcome to Wolfram Community! This forum permits only questions about Wolfram Technologies. Post elsewhere for other subjects, including general math, science & technology. Please read the rules: http://wolfr.am/READ-1ST