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(Б) The hyperplane H C Rª tangent to the graph of a function g : R³ → R at a point (x1, x2, x3, X4) = (a,b, c, g(a, b, c)) e Rª is described by the Cartesian equation 2x1 – 5x3 + 3x4 = 8. (i) Find the value of the directional derivative gu(a, b, c) in the direction u Find a unit vector v such that the directional derivative g(a, b, c) in the direction v is equal /29 to –

(Б) The hyperplane H C Rª tangent to the graph of a function g : R³ → R at a point (x1, x2, x3, X4) = (a,b, c, g(a, b, c)) e Rª is described by the Cartesian equation 2x1 – 5x3 + 3x4 = 8. (i) Find the value of the directional derivative gu(a, b, c) in the direction u Find a unit vector v such that the directional derivative g(a, b, c) in the direction v is equal /29 to –

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 help with question i and ii please, Thank you!
(Б) The hyperplane H C Rª tangent to the graph of a function g : R³ → R at a point (x1, x2, x3, X4) = (a,b, c, g(a, b, c)) e Rª is described by the Cartesian equation 2x1 – 5x3 + 3x4 = 8. (i) Find the value of the directional derivative gu(a, b, c) in the direction u Find a unit vector v such that the directional derivative g(a, b, c) in the direction v is equal /29 to –
Transcribed Image Text:(Б) The hyperplane H C Rª tangent to the graph of a function g : R³ → R at a point (x1, x2, x3, X4) = (a,b, c, g(a, b, c)) e Rª is described by the Cartesian equation 2x1 – 5x3 + 3x4 = 8. (i) Find the value of the directional derivative gu(a, b, c) in the direction u Find a unit vector v such that the directional derivative g(a, b, c) in the direction v is equal /29 to –
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