Consider the functionf(r, y) = e=² sin(Vr² + y²)(a) ) Compute the gradient of f.(b)1 ) Find the equation of the tangent plane at the point at the point (0, 7/3, /3/2).(c:) Find a parametric equation for the line that is perpendicular to the graph of f at the point (0, 7/3, /3/2).

Consider the function f(r, y) = e=² sin( q² + y²) (a) ) Compute the gradient of f. (b) 1 ) Find the equation of the tangent plane at the point at the point (0, a /3, v3/2). (c :) Find a parametric equation for the line that is perpendicular to the graph of f at the point (0, 7/3, v3/2).

Consider the function f(r, y) = e=² sin( q² + y²) (a) ) Compute the gradient of f. (b) 1 ) Find the equation of the tangent plane at the point at the point (0, a /3, v3/2). (c :) Find a parametric equation for the line that is perpendicular to the graph of f at the point (0, 7/3, v3/2).

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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Question

Consider the function
f(r, y) = e=² sin(Vr² + y²)
(a) ) Compute the gradient of f.
(b)
1 ) Find the equation of the tangent plane at the point at the point (0, 7/3, /3/2).
(c
:) Find a parametric equation for the line that is perpendicular to the graph of f at the point (0, 7/3, /3/2).

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