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
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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F93ca6f3d-fbc3-4d42-8f53-d439d199b907%2F5fd21e91-0239-41c5-9c47-bba20769fb7b%2F8tq93fk_processed.jpeg&w=3840&q=75)
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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