## how do I want to produce a graph that has differen...

the graf that I want to generate is like this one

## How do I plot the product of 2 trigonometric funct...

I am trying to plot the following function in maple but the graph will not render. No problem plotting it on a TI-84 Plus CE where the output looks like a parabola. What am I missing?

polarplot(tan(theta)*sec(theta), theta = 0 .. 2*Pi)

## numerical output and plot integral...

Dear experts

how can I numerically plot the following integral and have output as csv file.

in this relation, there is a list of omega1 and omega2 for each k1 and k2. for example,

k1 = [1,2,3,4,5]

omega11=[1,2,3,4,5], omega12= [1,2,3,4,5], omgega21= [1,2,3,4,5],omega22= [1,2,3,4,5],

all other coefficients would be calculated based on k values and corresponding omegas

## How do I solve this trigonometric equation has the...

I am trying to solve the equation:
solve(cos(3*x - Pi/12) = cos(2*x + Pi/7), x, allsolutions).
It is difficult for me to get the resullt.
Solve by my hand. I tried
restart;
a := 3*x - Pi/12;
b := 2*x + Pi/7;
S1 := solve(a = 2*Pi*k + b, x);
S2 := solve(a = 2*Pi*k - b, x);
S := ((S1 union S2) assuming k::integer);

Can I get the result by command
solve(cos(3*x - Pi/12) = cos(2*x + Pi/7), x, allsolutions).

## How to do this?...

How to get U1,U2,..I dont know how to use this inverse transform.Please help to find the series.

CM.mw

## Solving pdes with multiple functions....

Given a pde (or a set of pdes) of multiple funcitons, is there a way to look for solutions when one of the functions is kept arbritary.

For example if I have a set of pdes with f1,f2,f3. Is there a way to see if there is a functional form for f2 and f3 such that the equation is satisfied for any f1?

## Connection problems....

Earlier today I observed this:

What would be the reason?

## Why does this Maple calculation with units differ ...

I am creating a Maple document mode worksheet in which I use the Units package. I was doing a calculation and I noticed a discrepancy when I repeated the calculation slightly more manually (but still expecting the same result).

Here is a link to the worksheet: Units.mw

(Unfortunately, it is hit or miss for me when I try to use the option to show the contents of the worksheet here directly)

Here is a screenshot of the issue

All I am doing in the second calculation is doing some of the unit conversions myself.

I came across this while solving a chemistry problem, and I know the answer in the book agrees with the second calculation.

So the question is why doesn't the first calculation, which uses more of Maple's library to do the calculation, agree with the second calculation?

## with respect to side relations or using the assume...

It appears to me that "simplify/siderels" with two arguments is simply some special "simplify" procedure that just makes use of assumptions, but the results of experiments seem to tell an opposite story.

```simplify(sqrt(x**2), [x = 0]);
0

simplify(sqrt(x**2), assume = [x = 0]);
0

simplify(ln(exp(x)), [x = 0]);
0

simplify(ln(exp(x)), assume = [x = 0]);
x

`assuming`(simplify(ln(exp(x))), [x = 0]);
x

simplify((1 - cos(x)**2 + sin(x)*cos(x))/(sin(x)*cos(x) + cos(x)**2), [sin(x)**2 + cos(x)**2 = 1]);
2
1 - cos(x)  + sin(x) cos(x)
---------------------------
cos(x) (cos(x) + sin(x))

simplify((1 - cos(x)**2 + sin(x)*cos(x))/(sin(x)*cos(x) + cos(x)**2), assume = [sin(x)**2 + cos(x)**2 = 1]);
tan(x)

```

How to explain these?

## Why do I have to `simplify` twice?...

Why can't a singular call fully `simplify` them?

 > restart;
 > (* in △ABC *)
 >
 >
 >
 (1)
 >
 (2)
 >
 (3)

Is there any limitation of `simplify/trig`?

 (1)

 (2)

 (3)

 (4)

## Why wont my function plot over my entire domain? ...

I have a function that I want to plot from x=0..5 , when I ask it to plot over this range it will not plot from x=0..1 it will just go from x=1..5. However, If I ask it to plot from x=0..1 it will plot that... so then I have to splice the images together in display.

Has anyone seen this problem? Is it something easy and stupid that I am missing?

Function of interest attached in file.

PlotIssue.mw

## Draw a 3D chart...

Is anyone here familiar with MATLAB?

To guide the 3D chart that has already been drawn by Maple software.