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assume points P and Q are close. Estimate g(Q)

assume points P and Q are close. Estimate g(Q)

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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 assume points P and Q are close. Estimate g(Q)

24. \( P = (30, 125), Q = (25, 135), g(P) = 840, g_x(P) = 4, g_y(P) = 1.5. \)
Transcribed Image Text:24. \( P = (30, 125), Q = (25, 135), g(P) = 840, g_x(P) = 4, g_y(P) = 1.5. \)
In this mathematical problem, the following points and functions are described: - Point \( P = (60, 80) \) - Point \( Q = (60.5, 82) \) Functions and their values at point \( P \): - \( g(P) = 100 \) - \( g_x(P) = 2 \) (Partial derivative of \( g \) with respect to \( x \) at \( P \)) - \( g_y(P) = -3 \) (Partial derivative of \( g \) with respect to \( y \) at \( P \)) This information is often used in calculus or multivariable functions to describe rates of change of the function \( g \) at specific points.
Transcribed Image Text:In this mathematical problem, the following points and functions are described: - Point \( P = (60, 80) \) - Point \( Q = (60.5, 82) \) Functions and their values at point \( P \): - \( g(P) = 100 \) - \( g_x(P) = 2 \) (Partial derivative of \( g \) with respect to \( x \) at \( P \)) - \( g_y(P) = -3 \) (Partial derivative of \( g \) with respect to \( y \) at \( P \)) This information is often used in calculus or multivariable functions to describe rates of change of the function \( g \) at specific points.
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