Consider the function over the square a. Show that ƒ has

Chapter 13, Problem 60E

(choose chapter or problem)

Consider the function $f(x, y)=x^{2}+y^{2}+2 x y$ over the square $0 \leq x \leq 1$ and $0 \leq y \leq 1$

a. Show that $f$ has an absolute minimum along the line segment $2 x+2 y=1$ in this square. What is the absolute minimum value?

b. Find the absolute maximum value of $f$ over the square.

Equation Transcription:

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

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

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

$f$

$2x+2y=1$

$f$

Text Transcription:

f(x,y)=x^2+y^2+2xy

0 leq x leq 1

0 leq y leq 1

2x+2y=1

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