- #1
Oomair
- 36
- 0
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?
In summary, the speakers are discussing difficulties with sketching 3D functions, specifically the function z=4-x-y. They are looking for tips or websites that provide useful techniques for graphing functions like this. Suggestions include using Matlab, setting x or y equal to 0 and examining the z-y or z-x plane, and finding what happens when x or y approach infinity. The use of contours is also mentioned, with one speaker expressing confusion about them. Another speaker suggests using k=0,1,2... or converting to rectangular/spherical coordinates to plot the function.
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?
- #2
rootX
- 479
- 4
-Use Matlab 
-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)
-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)
- #3
jhicks
- 340
- 0
I agree with rootx. plotting the functions when x or y = 0 is a good tool.
- #4
rocomath
- 1,755
- 1
I still don't quite understand contours :(
- #5
rootX
- 479
- 4
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
using k = 0,1,2.. works most times..
sometimes, using z-x and z-y plane
or, converting to rec/spherical co-ods
1. What is the importance of sketching 3D functions?
Sketching 3D functions is important for visualizing and understanding complex mathematical concepts. It allows scientists to see the relationship between different variables and how they affect each other. This can aid in problem solving and developing new theories.
2. What are some tips for accurately sketching 3D functions?
Some tips for sketching 3D functions include using a graphing calculator or computer software to plot the function, identifying important points such as intercepts and critical points, and using shading or color to show the behavior of the function.
3. How does sketching 3D functions relate to real-world applications?
Sketching 3D functions has many real-world applications, such as in engineering, physics, and economics. It can be used to model and analyze systems and make predictions about their behavior.
4. What are some common mistakes to avoid when sketching 3D functions?
Some common mistakes to avoid when sketching 3D functions include not labeling axes or important points, not accurately representing the scale of the graph, and not understanding the behavior of the function in different regions.
5. How can sketching 3D functions be used to communicate scientific ideas?
Sketching 3D functions can be used as a visual aid to communicate scientific ideas to a wider audience. It can help to make complex concepts more understandable and provide a clearer representation of the relationships between variables.
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