Suppose f is a differentiable function of x and y, and g(r, s) = f(9r — s, s² - 3r). Use the table of values below to calculate gr(4, 1) and gs(4, 1). 9,(4, 1) = gs(4, 1) = (35, -11) (4,1) f 3 2 g 2 3 fx 1 7 fy 500 8

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose f is a differentiable function of x and y, and g(r, s) = f(9r — s, s² - 3r). Use the table of values below to calculate
gr(4,1) and g,(4, 1).
g,(4, 1) =
gs(4, 1) =
(35, -11)
(4,1)
f
3
2
g
2
3
fx fy
1
5
7
8
Transcribed Image Text:- Suppose f is a differentiable function of x and y, and g(r, s) = f(9r — s, s² - 3r). Use the table of values below to calculate gr(4,1) and g,(4, 1). g,(4, 1) = gs(4, 1) = (35, -11) (4,1) f 3 2 g 2 3 fx fy 1 5 7 8
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