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Consider a differentiable function g where g(6, 8) = 2, g(6.5,8) g(6, 8.25) = -1. = 5 and A. Approximate Vg(6,8). B. Approximate the instantaneous rate of change of g at (6, 8) in the direction towards the point (10,5).

Consider a differentiable function g where g(6, 8) = 2, g(6.5,8) g(6, 8.25) = -1. = 5 and A. Approximate Vg(6,8). B. Approximate the instantaneous rate of change of g at (6, 8) in the direction towards the point (10,5).

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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Consider a differentiable function \( g \) where \( g(6,8) = 2 \), \( g(6.5,8) = 5 \) and \( g(6,8.25) = -1 \). A. Approximate \( \nabla g(6,8) \). B. Approximate the instantaneous rate of change of \( g \) at \( (6,8) \) in the direction towards the point \( (10, 5) \).
Transcribed Image Text:Consider a differentiable function \( g \) where \( g(6,8) = 2 \), \( g(6.5,8) = 5 \) and \( g(6,8.25) = -1 \). A. Approximate \( \nabla g(6,8) \). B. Approximate the instantaneous rate of change of \( g \) at \( (6,8) \) in the direction towards the point \( (10, 5) \).
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