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(1.) Determine the instantaneous rate of change of f(x, y) = 2x² = x² + 3y² at (2,3) in the direction heading towards the origin. (b. Determine the direction (as a unit vector) at (2,3) that gives the maximum instantaneous rate of change in f.

(1.) Determine the instantaneous rate of change of f(x, y) = 2x² = x² + 3y² at (2,3) in the direction heading towards the origin. (b. Determine the direction (as a unit vector) at (2,3) that gives the maximum instantaneous rate of change in f.

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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(1.) Determine the instantaneous rate of change of f(x, y) = 2x² = x² + 3y² at (2,3) in the direction heading towards the origin. (b. Determine the direction (as a unit vector) at (2,3) that gives the maximum instantaneous rate of change in f.
Transcribed Image Text:(1.) Determine the instantaneous rate of change of f(x, y) = 2x² = x² + 3y² at (2,3) in the direction heading towards the origin. (b. Determine the direction (as a unit vector) at (2,3) that gives the maximum instantaneous rate of change in f.
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