Calculus

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Paraboloid with surface curve.

This image illustrates a paraboloid surface represented by the function z=f(x,y) with a constraint applied through the equation g(x,y)=k. The curve C along the surface corresponds to points that satisfy both the surface equation and the constraint, forming a path on the paraboloid.

This image illustrates a paraboloid surface represented by the function z=f(x,y) with a constraint applied through the equation g(x,y)=k. The curve C along the surface corresponds to points that satisfy both the surface equation and the constraint, forming a path on the paraboloid.

This image is particularly valuable for mathematics and calculus courses focused on multivariable functions, Lagrange multipliers, and optimization problems.

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