1.Determine the minimum distance from point ( -3, 3) to the curve given by y = (x - 3)^2

2.A piece of wire, 100 cm long, needs to be bent to form a rectangle. determine the dimensions of a rectangle with the maximum area.

Perimeter = 100 cm

Area = L x W - to maximize

3.A rectangular piece of cardboard, 100 cm by 40 cm, is going to be used to make a rectangular box with an open top by cutting congruent squares from the corners. calculate the dimensions for a box with largest volume.

Solve using algorithm and find dimensions.