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(Solved): (6 points) Find the maximum and minimum values of f(x,y)=7x+y on the ellipse ...

$(6 points) Find the maximum and minimum values of \( f(x, y)=7 x+y \) on the ellipse \( x^{2}+9 y^{2}=1 \) maximum value: min$ ???????

(6 points) Find the maximum and minimum values of

f (x, y) = 7 x + y

on the ellipse

x^{2} + 9 y^{2} = 1

maximum value: minimum value:

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The Lagrange function, using the parameter ? for the given function f(x,y) is:L(x,y,?)=7x+y??(x2+9y2?1)(1)

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