2.6 Question 26

[Eigenvalue]

Precalculus
Michael Sullivan
Edition 4
Chapter 2, Section 2.6

An open box with a square base is required to have a volume of 10 cubic feet

a) Express the amount A of material used to make such a box as a function of the length,x, of a side of the square base

b) How much material is required for a base of 1 foot by 1 foot

c) How much material is required for a base 2 feet by 2 feet

d) Use a graphing utility to graph A=A(x); for what value of x is A(x) the smallest