Given the two linear functions [math]f\left(x\right)=ax[/math] and [math]g\left(x\right)=-ax+b[/math] a rectangle is inscribed as in the applet below.[br]Move point A below to discover whether we are looking for a rectangle with maximum\minimum area.[br][br]You can also play with parameters a and b. (note the connection to problem 2 in this chapter)