Problem 1. Let f(a, y, z) = ln(² | y² | 2²). a) What is the direction of maximal increase of f at the point (1, 1, 1)? b) At the point (1, 1, 1), how far in the direction found in (a) do you need to go to obtain an increase of 0.1 in /? c) At the point (1, 1, 1), how far in the direction of (1, 1, 2) do you need to go to obtain an increase of 0.2 in /?

Problem 1. Let f(a, y, z) = ln(² | y² | 2²). a) What is the direction of maximal increase of f at the point (1, 1, 1)? b) At the point (1, 1, 1), how far in the direction found in (a) do you need to go to obtain an increase of 0.1 in /? c) At the point (1, 1, 1), how far in the direction of (1, 1, 2) do you need to go to obtain an increase of 0.2 in /?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.3: Trigonometric Functions Of Real Numbers

Problem 65E

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