12. A rectangle with sides parallel to the coordinate axes is to be inscribed in the region enclosed by the graphs of y =x2 y = x 2 and y = 4 y = 4 so that its perimeter has maximum length. Sketch the ...

Find the dimensions of the cylinder that give the maximum volume and find the value of the maximum volume. An open-topped cylindrical pot is to have volume 250 cm 3. 3. The material for the bottom of ...