Suppose f is a differentiable function of x and y, and g(r, s) = f(7r - s, s² - 2r). Use the table of values below to calculate g,(2, 6) and g,(2, 6). fy 9 7 9,(2, 6) = 9,(2, 6) = (8, 32) (2,6) X f 1 3 9 3 1 fx 4 6

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Suppose f is a differentiable function of x and y, and g(r, s) = f(7r − s, s2 − 2r).

 Use the table of values below to calculate gr(2, 6) and gs(2, 6).

Suppose f is a differentiable function of x and y, and g(r, s) = f(7r - s, s² - 2r). Use the table of values below to calculate g,(2, 6) and g,(2, 6).
fy
9
7
9,(2, 6) =
9,(2, 6) =
(8, 32)
(2,6)
X
f
1
3
9
3
1
fx
4
6
Transcribed Image Text:Suppose f is a differentiable function of x and y, and g(r, s) = f(7r - s, s² - 2r). Use the table of values below to calculate g,(2, 6) and g,(2, 6). fy 9 7 9,(2, 6) = 9,(2, 6) = (8, 32) (2,6) X f 1 3 9 3 1 fx 4 6
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