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Consider the following. f(x, y) = 9x2 + 4y2 c = 97, P(3, −2) (a) Find the gradient of the function at P. ∇f(3, −2) =     (b) Find a unit vector that is normal to the level curve f(x, y) = c at P.     (c) Find the tangent line to the level curve f(x, y) = c at P.     (d) Sketch the level curve, the unit normal vector, and the tangent line in the xy-plane.

Consider the following. f(x, y) = 9x2 + 4y2 c = 97, P(3, −2) (a) Find the gradient of the function at P. ∇f(3, −2) =     (b) Find a unit vector that is normal to the level curve f(x, y) = c at P.     (c) Find the tangent line to the level curve f(x, y) = c at P.     (d) Sketch the level curve, the unit normal vector, and the tangent line in the xy-plane.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Consider the following.

f(x, y) = 9x2 + 4y2
c = 97, P(3, −2)
(a) Find the gradient of the function at P.
∇f(3, −2) =
 
 


(b) Find a unit vector that is normal to the level curve
f(x, y) = c
at P.
 
 


(c) Find the tangent line to the level curve
f(x, y) = c
at P.
 
 


(d) Sketch the level curve, the unit normal vector, and the tangent line in the xy-plane.
   
   
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