Maple plot3d variable increment

[dank0608]

I have an equation with two variables x and y.

I wish to plot a function in 3d (let's say cosine) with x and y as parameters.

I know the plot3d command in Maple is as follows:

plot3d(cos(x+y),x=-1..1, y =-1..1);

My question is this: how would I modify the increment values of x and y which are plotted?

For instance I want x=-1 to 1 but only in 0.25 increments and y=-1 to 1 in 0.1 increments.

A second question is: How do I display each value for what maple is plotting in 3d?
for instance:
f(x,y) = cos(x+y) => f(x,y) = ?
x = some value between -1 and 1 (in 0.25 increments)
y = some value between -1 and 1 (in 0.1 increments)

for question 2, basically I'm looking for something like [seq(f(x),x=a..b,increment)]

 

[LCKurtz]

I have an equation with two variables x and y.

I wish to plot a function in 3d (let's say cosine) with x and y as parameters.

I know the plot3d command in Maple is as follows:

plot3d(cos(x+y),x=-1..1, y =-1..1);

My question is this: how would I modify the increment values of x and y which are plotted?

For instance I want x=-1 to 1 but only in 0.25 increments and y=-1 to 1 in 0.1 increments.

I will answer your first question for the moment. You want to use the grid =[a,b] specification. That tells you how many grid points to plot. So if you want to go from -1 to 1 with 8 intervals of length .25, you need 9 grid points counting the start and end point. To go from -1 to 1 with 20 intervals of length .1 you need 21 grid points. So use:

plot3d(cos(x+y),x=-1..1, y =-1..1, grid = [9,21]);

 

[LCKurtz]

A second question is: How do I display each value for what maple is plotting in 3d?
for instance:
f(x,y) = cos(x+y) => f(x,y) = ?
x = some value between -1 and 1 (in 0.25 increments)
y = some value between -1 and 1 (in 0.1 increments)

for question 2, basically I'm looking for something like [seq(f(x),x=a..b,increment)]

For your second question try this:

restart;
f := (x, y) → cos(x+y);
for k from 0 to 20
   do
      seq(f(-1+.25*j, -1+.1*k), j = 0 .. 7)
   end;

I have used your 20 and 8 intervals as an example.

 

[dank0608]

Awesome, this is exactly what I was looking for. I figured the first one I would need to specify a plot option but missed 'grid'.

Thanks for your help.

 

[DeeNos]

I would suggest using the "grid" option in the plot3d command to modify the increment values for x and y. This allows you to specify the number of points along each axis rather than a specific increment value. For example, you could use the following command:

plot3d(cos(x+y),x=-1..1, y =-1..1, grid=[5, 11]);

This would create a grid with 5 points along the x-axis and 11 points along the y-axis, resulting in increments of 0.25 for x and 0.1 for y.

To display the values being plotted, you can use the "values" option in the plot3d command. This will show the numerical values of the function at each point in the plot. For example, you could use the following command:

plot3d(cos(x+y),x=-1..1, y =-1..1, values=true);

This would display the values of cos(x+y) at each point in the plot.

For the second question, you could use the "seq" command to generate a sequence of values for x and y and then plug those values into the function f(x,y). For example, you could use the following command:

seq(f(x,y), x=-1..1, 0.25), y=-1..1, 0.1));

This would generate a sequence of values for x and y in the specified increments and then plug them into the function f(x,y). You could then use this sequence to display the values being plotted.