MATLAB - 3D Plotting and Visualization
What shape will the following MATLAB code produce?
[X,Y] = meshgrid(-1:1, -1:1);
Z = X.^2 + Y.^2;
surf(X,Y,Z);
What shape will the following MATLAB code produce?
medium📝 Predict Output Q4 of 15
Step-by-Step Solution
Solution:
Step 1: Analyze the function
Z = X.^2 + Y.^2 represents a sum of squares, which forms a paraboloid surface.Step 2: Understand the plot
The surf function plots this as a smooth bowl-shaped surface opening upwards.Final Answer:
A paraboloid bowl shape -> Option BQuick Check:
Sum of squares forms a paraboloid [OK]
Quick Trick: Sum of squares forms a paraboloid [OK]
Common Mistakes:
- Confusing sum of squares with difference
- Expecting a saddle shape
- Assuming a flat surface
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