Tips for skecthing 3D functions?

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Homework Help Overview

The discussion revolves around strategies for sketching 3D functions, specifically the function z=4-x-y. Participants seek tips and resources to effectively visualize such functions.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss using software like Matlab and suggest analyzing the function by setting variables to zero to observe the resulting 2D projections. There are inquiries about understanding contours and alternative coordinate systems for visualization.

Discussion Status

The conversation includes various suggestions for techniques and tools, with some participants expressing uncertainty about specific concepts like contours. There is no clear consensus, but multiple approaches are being explored.

Contextual Notes

Some participants mention challenges with understanding contours and the application of different coordinate systems, indicating potential gaps in foundational knowledge that may affect their ability to sketch 3D functions.

Oomair
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Homework Statement



im having problems on how to sketch 3D functions, like z=4-x-y, any tips or website that gives a summary and useful techniques to graph functions like this?

Homework Equations





The Attempt at a Solution

 
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-Use Matlab :wink:
-make either x or y = 0 and then find how the thing looks in z-y or z-x plane
-find what happens when x--> inf y=0 or y--> inf , x =0 or y-->inf x -->inf
-Draw contours (should have learned them before getting into 3d)
 
I agree with rootx. plotting the functions when x or y = 0 is a good tool.
 
I still don't quite understand contours :(
 
neither me ><
using k = 0,1,2.. works most times..
sometimes, using z-x and z-y plane
or, converting to rec/spherical co-ods
 

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