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Consider the function g defined by g (x, y) = sin (n V xy) + logs (x- 3y). Do as indicated. 1. Determine d'g / dydx. 2. Calculate the instantaneous rate of change of g at the point (4, 1, 0) in the direction of the vector v = (1, 2). 3. In what direction does g have the maximum directional derivative at (x, y) = (4, 1)? What is the minimum directional derivative?

Consider the function g defined by g (x, y) = sin (n V xy) + logs (x- 3y). Do as indicated. 1. Determine d'g / dydx. 2. Calculate the instantaneous rate of change of g at the point (4, 1, 0) in the direction of the vector v = (1, 2). 3. In what direction does g have the maximum directional derivative at (x, y) = (4, 1)? What is the minimum directional derivative?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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can you answer b and c?

Consider the function g defined by g (x, y) = sin (n V xy) + log3 (x - 3y). Do as indicated. 1. Determine d?g / dydx. 2. Calculate the instantaneous rate of change of g at the point (4, 1, 0) in the direction of the vector v = (1, 2). 3. In what direction does g have the maximum directional derivative at (x, y) = (4, 1)? What is the minimum directional derivative?
Transcribed Image Text:Consider the function g defined by g (x, y) = sin (n V xy) + log3 (x - 3y). Do as indicated. 1. Determine d?g / dydx. 2. Calculate the instantaneous rate of change of g at the point (4, 1, 0) in the direction of the vector v = (1, 2). 3. In what direction does g have the maximum directional derivative at (x, y) = (4, 1)? What is the minimum directional derivative?
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