Maple How Do You Input Formulas for Surface Area Calculations in Maple?

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The discussion centers around difficulties in inputting the formula z=(1+x^2)/(1+y^2) into Maple for evaluating the surface area using double integrals. The user is trying to find the area of the surface above the region defined by |x| + |y| < 1 and is seeking guidance on the correct coding syntax. Participants emphasize the need for clarity on the mathematical task, noting that without defined boundaries, the area calculation could be infinite. They suggest differentiating the function with respect to x and y, using Maple to compute the surface area, and multiplying the result by four due to symmetry. Specific coding tips are provided, including the correct syntax for assignment and differentiation in Maple.
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I can't input this formula,

z=(1+x^2)/(1+y^2)

This is suppose to represent a function of surface of area with double integrals. I'm struggling inputting the codes into evaluate the equation.
It would be convenient if help was given
 
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Thank you for trying to help but that won't help too much
 
jweie29nh said:
I can't input this formula,

z=(1+x^2)/(1+y^2)

This is suppose to represent a function of surface of area with double integrals.
It is unclear to me what you are trying to do mathematically, i.e. even without thinking yet about how to input it in Maple. Could you explain more?
 
The area of the surface with equation z
 
Don't you have any boundaries given for the surface? If not, the area is infinite and it is pointless to calculate it with Maple. If your task is written somewhere, please let ut know the exact wording.
 
Your suppose to find the area of the part of the surface that lies above square lxl +lyl < 1
and draw a graph
 
It didn't help, this is the type of cal 3 problem that I am referring to http://tutorial.math.lamar.edu/Classes/CalcIII/SurfaceArea.aspx.

z=(1+x^2)/(1+y^2)

I'm suppose to find the area of the part of the surface that lies above square lxl +lyl < 1
and draw a graph

and I can't seem to find the right code to put into solve equation
 
  • #10
First, differentiate z w.r,t x and y, with Maple. Plug these partial derivatives into your formula for (the element of) surface area. Then evaluate with Maple the double integral of this over the region I suggested and multiply by 4.
 
  • #11
jweie29nh said:
It didn't help, this is the type of cal 3 problem that I am referring to http://tutorial.math.lamar.edu/Classes/CalcIII/SurfaceArea.aspx.

z=(1+x^2)/(1+y^2)

I'm suppose to find the area of the part of the surface that lies above square lxl +lyl < 1
and draw a graph

and I can't seem to find the right code to put into solve equation

I'm a bit late to this discussion, but are you just having syntax problems? For example the assignment statement should be z:=(1+x^2)/(1+y^2); Note the colon and the ending semicolon. Then the partial with respect to x would be something like zsubx := diff(z,x);
 

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