A box with a lid is to be made from a rectangular piece of cardboard 11 cm by 16 cm, as shown in the figure below. Two equal squares of side x are to be removed from one end, and two equal rectangles are to be removed from the other end so that the tabs can be folded to form the box with a lid. Find a such that the volume of the box is a maximum. The equation that gives the volume of the box in terms of the length of x is: V = x(8 − x)(11 – 2x) ------ 16 cm Lid 11 cm What is the domain of the function in context of the problem? Length of the equal squares that are removed: x = Volume of the box: V Select on or x < Select an answer
A box with a lid is to be made from a rectangular piece of cardboard 11 cm by 16 cm, as shown in the figure below. Two equal squares of side x are to be removed from one end, and two equal rectangles are to be removed from the other end so that the tabs can be folded to form the box with a lid. Find a such that the volume of the box is a maximum. The equation that gives the volume of the box in terms of the length of x is: V = x(8 − x)(11 – 2x) ------ 16 cm Lid 11 cm What is the domain of the function in context of the problem? Length of the equal squares that are removed: x = Volume of the box: V Select on or x < Select an answer
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 43PS
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