Consider the functionf(x, y) = 4x2 3y2 + 2xyover the unit square 0 x 1, 0 y 1.(a) Find

Chapter 13, Problem 45

(choose chapter or problem)

Consider the function

$f(x, y)=4 x^{2}-3 y^{2}+2 x y$

over the unit square $0 \leq x \leq 1,0 \leq y \leq 1$.

(a) Find the maximum and minimum values of $f$ on each edge of the square.

(b) Find the maximum and minimum values of $f$ on each diagonal of the square.

Equation Transcription:

$f(x,y)={4x}^{2}-{3y}^{2}+2xy$

$0\leq{}x\leq{}1,\ 0\leq{}y\leq{}1$

$f$

Text Transcription:

f(x,y)=4x^2-3y^2+2xy

0 leq x leq 1, 0 leq y leq 1

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