V(1, 1, 4) 1, 1, 4)| is increasing most rapidly at the point (1, 1, 4) Calculate the direction in which the function f(x, y, z) = xy - In(z), 33 (4i + 4j - k) V33 (4i + 4j - k) 33 V33 (4i + 4j - k) W33(4i-4j + k)

Calculus: Early Transcendentals
8th Edition
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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V(1, 1, 4)
1, 1, 4)|
is increasing most rapidly at the point (1, 1, 4)
Calculate
the direction in which the function f(x, y, z) = xy - In(z),
33 (4i + 4j - k)
V33 (4i + 4j - k)
33
V33 (4i + 4j - k)
V33 (4i - 4j + k)
Transcribed Image Text:V(1, 1, 4) 1, 1, 4)| is increasing most rapidly at the point (1, 1, 4) Calculate the direction in which the function f(x, y, z) = xy - In(z), 33 (4i + 4j - k) V33 (4i + 4j - k) 33 V33 (4i + 4j - k) V33 (4i - 4j + k)
Find the equation of the plane parallel to the plane with equation -x +3y+
z = 0 and containing the
point P = (-7, 5, 4).
%3D
O
X - 3y - z 0
-x + 3y + z + 26 = 0
-7x + 5y + 4z = 0
-x + 3y + z - 26 = 0
Transcribed Image Text:Find the equation of the plane parallel to the plane with equation -x +3y+ z = 0 and containing the point P = (-7, 5, 4). %3D O X - 3y - z 0 -x + 3y + z + 26 = 0 -7x + 5y + 4z = 0 -x + 3y + z - 26 = 0
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