[Solved] Consider this MATLAB code:[X,Y] = meshgrid(0:2, 0:2);Z = X.^2 + Y.^2;surf(X,Y,Z);What shape will the 3D plot display? | MATLAB

MATLAB - 3D Plotting and Visualization

Consider this MATLAB code:

[X,Y] = meshgrid(0:2, 0:2);
Z = X.^2 + Y.^2;
surf(X,Y,Z);

What shape will the 3D plot display?

AA random scatter plot.

BA flat plane.

CA sphere.

DA paraboloid surface opening upwards.

Step-by-Step Solution

Solution:

Step 1: Analyze the Z calculation
Z = X squared plus Y squared forms a paraboloid shape, as Z increases with distance from origin.
Step 2: Understand surf plot shape
surf plots this paraboloid surface, showing a smooth curved shape opening upwards.
Final Answer:
A paraboloid surface opening upwards. -> Option D
Quick Check:
surf plot shape = paraboloid [OK]

Quick Trick: Sum of squares creates paraboloid shape in 3D plot [OK]

Common Mistakes:

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