Question: A scalar field is given by the function = 3x 2 y + 4y 2 . a. Find at the point (3,

A scalar field is given by the function ∅ = 3x2y + 4y2.

a. Find ∇ ∅ at the point (3, 5).
b. Find the component of ∇ ∅ that makes a - 60° angle with the x axis at the point (3, 5).

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