Question
Asked Nov 5, 2019
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Given that fis differentiable with the following
f(5, 4) 18
f5, 4)
- 3.6
fy5, 47.7
Use linear approximation to estimate f( 5.1, 3.91)
f(5.1, 3.91)
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Given that fis differentiable with the following f(5, 4) 18 f5, 4) - 3.6 fy5, 47.7 Use linear approximation to estimate f( 5.1, 3.91) f(5.1, 3.91)

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Expert Answer

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It is given that, the linear approximation of the two variable is L(x, y) f(xp. y)+(%0-o)(x-x,)+ f(% o)(yy From the given information, , Jo)(-5-4) f(xp, yo) (-5-4) =18 f.(%-)-5,-4)=-3.6 f,(4)-5,-4) = 7.7 Plug the above values in linear approximation equation, L(x. y)18+(-3.6)(x-(-5) + 7.7 (y- (-4)) L(x.y) 18-3.6(x+5) +7.7(y + 4) =

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