Mathematics, 12.08.2020 05:01 kell22wolf
Consider the surface f(x, y) = 21 - 4x² - 16y² (a plane) and the point P(1,1,1) on the surface.
Required:
a. Find the gradient of f.
b. Let C' be the path of steepest descent on the surface beginning at P, and let C be the projection of C' on the xy-plane. Find an equation of C in the xy-plane.
c. Find parametric equations for the path C' on the surface.
Answers: 1
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Consider the surface f(x, y) = 21 - 4x² - 16y² (a plane) and the point P(1,1,1) on the surface.
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