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II. Consider the function g defined by 1 g(x, y) = cos (Tx/T) + log3(r – y)* Do as indicated. 1. Determine dyðr 2. Calculate the instantaneous rate of change of g at the point (4, 1, 2) in the direction of the vector v = (1,2).

II. Consider the function g defined by 1 g(x, y) = cos (Tx/T) + log3(r – y)* Do as indicated. 1. Determine dyðr 2. Calculate the instantaneous rate of change of g at the point (4, 1, 2) in the direction of the vector v = (1,2).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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II. Consider the function g defined by 1 g(r, y) = cos (Tx/) + log3(r – y)" Do as indicated. ²g 1. Determine dyðx" 2. Calculate the instantaneous rate of change of g at the point (4, 1, 2) in the direction of the vector v = (1,2). 3. In what direction does g have the maximum directional derivative at (r, y) = (4, 1)? What is the maximum directional derivative?
Transcribed Image Text:II. Consider the function g defined by 1 g(r, y) = cos (Tx/) + log3(r – y)" Do as indicated. ²g 1. Determine dyðx" 2. Calculate the instantaneous rate of change of g at the point (4, 1, 2) in the direction of the vector v = (1,2). 3. In what direction does g have the maximum directional derivative at (r, y) = (4, 1)? What is the maximum directional derivative?
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