d the c ritical points of functions below and clasSsify them as relativ ative maxima or saddle points. 0 f(x.y) (x- 1) + y' - 3y - 9y +15 (i) g(x,y) = x + y' + 3x - 18y + 81y +5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the critical points of the functions below and classify them as relative minima,
relative maxima or saddle points.
O f(x,y) = (x - 1) + y - 3y - 9y +]5
(i) g(x,y) = x' + y + 3x - 18y? + 81y +5
(i) f(x, y) = (x - x+ 1)(y - 3y)
(iv) f(x, y) = x* - 2x*y² + y* +y
Transcribed Image Text:Find the critical points of the functions below and classify them as relative minima, relative maxima or saddle points. O f(x,y) = (x - 1) + y - 3y - 9y +]5 (i) g(x,y) = x' + y + 3x - 18y? + 81y +5 (i) f(x, y) = (x - x+ 1)(y - 3y) (iv) f(x, y) = x* - 2x*y² + y* +y
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