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Suppose that g is a function of two independent variables that has continuous partial derivatives, and consider the points P(9,2), Q(19,2), R(9, 12) and S(11,6). You are given that the directional derivative of g at P in direction PQ → is 14, whilst the directional derivative of g at P in direction PR is 2. → Find the directional derivative of g at P in direction PS.

Suppose that g is a function of two independent variables that has continuous partial derivatives, and consider the points P(9,2), Q(19,2), R(9, 12) and S(11,6). You are given that the directional derivative of g at P in direction PQ → is 14, whilst the directional derivative of g at P in direction PR is 2. → Find the directional derivative of g at P in direction PS.

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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Suppose that g is a function of two independent variables that has continuous partial derivatives, and consider the points P(9,2), Q(19,2), R(9, 12) and S(11,6). → You are given that the directional derivative of g at P in direction PQ is 14, whilst the directional derivative of g at P in direction PR is 2. → → Find the directional derivative of g at P in direction PS. D →g(P) PS b = sin (a) ə ƒ əx 8 a Ω
Transcribed Image Text:Suppose that g is a function of two independent variables that has continuous partial derivatives, and consider the points P(9,2), Q(19,2), R(9, 12) and S(11,6). → You are given that the directional derivative of g at P in direction PQ is 14, whilst the directional derivative of g at P in direction PR is 2. → → Find the directional derivative of g at P in direction PS. D →g(P) PS b = sin (a) ə ƒ əx 8 a Ω
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