Question

1. The volume of a rectangular box is given by the

expression V = (120 - 6w)w², where w is
measured in inches.
a. What is a reasonable domain for the function
in this situation? Express the domain as an
inequality, in interval notation, and in set
notation.
b. Sketch a graph of the function over the
domain that you found. Include the scale on
each axis.
c. Use a graphing calculator to find the
coordinates of the maximum point of the
function.
d. What is the width of the box, in inches, that
produces the maximum volume?

Answer 1

the answer is d. What is the width of the box, in inches, that

produces the maximum volume?

Explanation:

length: 120 - 6w >