Question

1) Find the point on the line which is closest to the point .

( , )

2) A rectangle is inscribed with its base on the x-axis and itsupper corners on the parabola . What are thedimensions of such a rectangle with the greatest possible area?

Width =
Height =

3) An open box is to be made out of a 8-inch by 20-inch piece ofcardboard by cutting out squares of equal size from the fourcorners and bending up the sides. Find the dimensions of theresulting box that has the largest volume.

Dimensions of the bottom of the box: x
Height of the box:

I just need the answers

Find the point on the line -6x + 2y - 4 = 0 which is closest to the point (-1, -5). A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 11 - x2 What are the dimensions of such a rectangle with the greatest possible area? An open box is to be made out of a 8-inch by 20-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. Find the dimensions of the resulting box that has the largest volume.