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).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text: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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