A function \(f(x, y, z)\) of \(x, y\), and \(z\) is defined as

a. Multiply the matrices and express \(f\) as a polynomial in \(x, y\), and \(z\).

b. Write down the three equations necessary to find the extreme value of the function in the form

c. Solve the equations in (b) to determine \(x, y\), and \(z\) corresponding to the extreme value of \(f\).

d. Compute the extreme value of \(f\).

e. Is this a maxima or minima?

f. Compute the determinant of \([\mathbf{K}]\).

Transcribed Image Text:

where f(x,y,z)= {x y z}[K] y -{x y z}{R}+10, (x [K]= [1 2 37 245 [356] {} and {R}=2 {}}