A wire 10 feet long is to be cut into two pieces, each of which is to formed into a square. What is the largest possible total area of the two squares? What is the smallest possible total area?
Let 2 pieces be x , 10-x.
<br>Total Area = x^2 + (10-x)^2
<br>A = X^2 + 100 + X^2 -20X
<br>dA/dx = 4x - 20.
<br>d2A/d2x ( ...