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09-01-2024
Mathematics

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Let f(x, y, z) = x²y²z². At the point (1, 2, 1), find the rate of change of f in the direction perpendicular to the plane x²y³z = 8 and moving away from the origin.
a) Calculus-related problem
b) Linear algebra problem
c) Vector calculus problem
d) Multivariable calculus problem

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