Consider the function f(z,y, 2) ,>0, y>0 and the point P(1, 1, 2). a): Find the direction in which f increases fastest at the point P b) Find all the unit vectors u orthogonal to the z- axis such that D, f(P) = -1 HINT: ASSume u (a, b, c) and find a, b and e

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the function f(r, y, 2)
,>0, y>0 and the point P(1, 1, 2).
a)
Find the direction in which f increases fastest at the point P
b)
Find all the unit vectors u orthogonal to the z- axis such that D, f(P)-1.
HINT: Assume u3=
(a, b, c) and find a, b and c
Transcribed Image Text:Consider the function f(r, y, 2) ,>0, y>0 and the point P(1, 1, 2). a) Find the direction in which f increases fastest at the point P b) Find all the unit vectors u orthogonal to the z- axis such that D, f(P)-1. HINT: Assume u3= (a, b, c) and find a, b and c
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