(From Stewart, Section 4.7)

11.   If 1200 cm² of material is available to make a box with a square base and an open top, find the largest possible volume of the box.

15.   Find the point on the line y = 4x + 7 that is closest to the origin.

29.   The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the area of printed material on the poster is fixed at 384 cm², find the dimensions of the poster with the smallest area.

50.   A steel pipe os being carried down a hallway 9 ft wide. At the end of the hall there is a right-angled turn into a narrower hallway 6 ft wide. What is the length of the longest pipe that can be carried horizontally around the corner?

Guidelines