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Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Question
Linearizations for Three Variables
Find the linearizations L(x, y, z) of the functions in Exercises 41–46 at the given points.

Transcribed Image Text:41. f(x, у, г) — ху + уz + xz at
а. (1, 1, 1)
b. (1, 0, 0)
с. (0, 0, 0)
42. f(x, у, г) %— х? + у? + 2? at
а. (1,1, 1)
b. (0, 1, 0)
с. (1,0, 0)
43. f(x, у, 2) 3 Vx? + y? + z? at
а. (1, 0, 0)
b. (1, 1, 0)
с. (1, 2, 2)
44. f(x, у, г) %3D (sin xy)/z at
а. (т/2, 1, 1)
b. (2, 0, 1)
45. f(x, y, z) = e* + cos (y + z) at
A (a 5.0)
- (a)
а. (0, 0, 0)
b. (0,
с.
46. f(x, y, г) 3D tan (хуг) at
а. (1,0, 0)
b. (1, 1, 0)
с. (1, 1, 1)
Expert Solution
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