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

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    Maple Programming
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Discussion Overview

The discussion revolves around inputting a formula for surface area calculations in Maple, specifically focusing on the function z=(1+x^2)/(1+y^2) and the challenges participants face in coding this for evaluation using double integrals. The scope includes technical explanations and mathematical reasoning related to surface area and integration.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Homework-related

Main Points Raised

  • One participant expresses difficulty in inputting the formula into Maple for surface area calculations, seeking assistance.
  • Another participant suggests a link to Maple's implicit plotting help, but it is deemed unhelpful by the original poster.
  • Clarification is requested regarding the mathematical intent behind the input, indicating confusion about the task.
  • There is a mention of needing boundaries for the surface area calculation, with a warning that without them, the area could be infinite.
  • A specific region for the surface area calculation is later provided, indicating that the area lies above the square defined by |x| + |y| < 1.
  • One participant proposes using symmetry to simplify the double integral calculation over a triangular region.
  • Another participant suggests differentiating the function with respect to x and y, then using these derivatives in the surface area formula before evaluating the double integral.
  • Syntax issues in Maple are highlighted, with an example of the correct assignment statement and differentiation syntax provided.

Areas of Agreement / Disagreement

Participants express differing views on the clarity of the problem and the necessary steps for solving it. There is no consensus on the best approach to input the formula or the exact method for calculating the surface area.

Contextual Notes

Some participants note the importance of defining boundaries for the surface area calculation, and there are unresolved issues regarding the correct syntax and coding in Maple.

jweie29nh
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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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