Monday, March 20, 2017

y = (cosx) raise to 3
Building a rectangular pen with three parallel partitions using 500 feet of fencing. What dimensions will maximize the total area of a pen?

Wednesday, March 15, 2017

Optimization Problem: A rectangle has a perimeter of 80 cm. If it's width is x, express it's length and area in terms of x, and find the maximum area.

A rectangle has a perimeter of 80 cm. If it's width is x, express it's length and area in terms of x, and find the maximum area.


Optimization Problem: A manufacturer wants to design an open box having a square base and a surface area of 108 square inches. What dimensions will produce a box with maximum volume?

A manufacturer wants to design an open box having a square base and a surface area of 108 square inches. What dimensions will produce a box with maximum volume?


The combined perimeter of an equilateral of a triangle and square is 10. Find the dimensions of the triangle and square that produce a minimum total area.
Suppose you had 103 m of fencing to make two side-by-side enclosures. What is the maximum area that you could enclose?



y = cos 2x (e^x2-1)