Which of the following linear approximation of f(x,y) at the point (x0,y0,z0) ? L(x,y)=fx(x0,y0)(x−x0)+fy(x0,y0)(y−y0)+z0L(x,y)=fx(x0,y0)+fy(x0,y0)+z0L(x,y)=fx(x0,y0)⋅x+fy(x0,y0)⋅y+z0L(x,y)=fx(x0,y0)(x+x0)+fy(x0,y0)(y+y0)+z0For what value of k would the vectors v1=(2,−4) and v2=(−5,k) be parallel? k=5k=10k=−5k=−10

we have the linearization of a function z=f(x,y) at the point (x_0,y_0,z_0=f(x_0,y_0)) is L(x,y)=f(x_0,y_0)+f_x(x_0,y_0)(x-x_0)+f_y(x_0,y_0)(y-y_0)

Resuelto Which of the following linear approximation of f(x,y)

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Pregunta: Which of the following linear approximation of f(x,y) at the point (x0,y0,z0) ? L(x,y)=fx(x0,y0)(x−x0)+fy(x0,y0)(y−y0)+z0L(x,y)=fx(x0,y0)+fy(x0,y0)+z0L(x,y)=fx(x0,y0)⋅x+fy(x0,y0)⋅y+z0L(x,y)=fx(x0,y0)(x+x0)+fy(x0,y0)(y+y0)+z0For what value of k would the vectors v1=(2,−4) and v2=(−5,k) be parallel? k=5k=10k=−5k=−10

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Paso 1
we have the linearization of a function $z = f (x, y)$ at the point $(x_{0}, y_{0}, z_{0} = f (x_{0}, y_{0}))$ is $L (x, y) = f (x_{0}, y_{0}) + f_{x} (x_{0}, y_{0}) (x - x_{0}) + f_{y} (x_{0}, y_{0}) (y - y_{0})$
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