32 - 34 Maxima and minima problems of a rectangle inscribed in a triangle
Problem 32
Find the dimension of the largest rectangular building that can be placed on a right-triangular lot, facing one of the perpendicular sides.
29 - 31 Solved problems in maxima and minima
Problem 29
The sum of the length and girth of a container of square cross section is a inches. Find the maximum volume.
- Read more about 29 - 31 Solved problems in maxima and minima
- Log in to post comments
28 - Solved problem in maxima and minima
Problem 28
The perimeter of an isosceles triangle is P inches. Find the maximum area.
- Read more about 28 - Solved problem in maxima and minima
- Log in to post comments
25 - 27 Solved problems in maxima and minima
Problem 25
Find the most economical proportions of a quart can.
- Read more about 25 - 27 Solved problems in maxima and minima
- Log in to post comments
21 - 24 Solved problems in maxima and minima
Problem 21
Find the rectangle of maximum perimeter inscribed in a given circle.
- Read more about 21 - 24 Solved problems in maxima and minima
- Log in to post comments
18 - 20 Rectangular beam in maxima and minima problems
Problem 18
The strength of a rectangular beam is proportional to the breadth and the square of the depth. Find the shape of the largest beam that can be cut from a log of given size.
15 - 17 Box open at the top in maxima and minima
Problem 15
A box is to be made of a piece of cardboard 9 inches square by cutting equal squares out of the corners and turning up the sides. Find the volume of the largest box that can be made in this way.
12 - 14 Rectangular Lot Problems in Maxima and Minima
Problem 12
A rectangular field of fixed area is to be enclosed and divided into three lots by parallels to one of the sides. What should be the relative dimensions of the field to make the amount of fencing minimum?
09 - 11 Rectangular Lot Problems in Maxima and Minima
Problem 9
What should be the shape of a rectangular field of a given area, if it is to be enclosed by the least amount of fencing?