90. Volume of a Box A cardboard box has a square base, with each edge of the base having length x inches, as shown in the figure. The total length of all 12 edges of the box is 144 in. (a) Show that the volume of the box is given by the function V(x) = 2.x°(18 – x). (b) What is the domain of V? (Use the fact that length and volume must be positive.) (c) Draw a graph of the function V and use it to estimate the maximum vol- ume for such a box.
90. Volume of a Box A cardboard box has a square base, with each edge of the base having length x inches, as shown in the figure. The total length of all 12 edges of the box is 144 in. (a) Show that the volume of the box is given by the function V(x) = 2.x°(18 – x). (b) What is the domain of V? (Use the fact that length and volume must be positive.) (c) Draw a graph of the function V and use it to estimate the maximum vol- ume for such a box.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.2: Polynomial Functions And Their Graphs
Problem 90E: Volume of a box A cardboard box has a square base, with each edge of the base having length x...
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