A wire of length 130 inches will be used to make the frame (edges) of a box with a square bottom. W W

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A wire of length 130 inches will be used to make the frame (edges) of a box with a square bottom.
W
(a) Find a formula for the volume of the box in terms of the width only. Use lower case w.
V(w) =
(b) Find V'(w) =
W
W =
cubic inches
(c) Find the non-zero critical point of V(w).
inches
(d) Does your critical point minimize or maximize the volume of the box?
O minimize
maximize
Transcribed Image Text:A wire of length 130 inches will be used to make the frame (edges) of a box with a square bottom. W (a) Find a formula for the volume of the box in terms of the width only. Use lower case w. V(w) = (b) Find V'(w) = W W = cubic inches (c) Find the non-zero critical point of V(w). inches (d) Does your critical point minimize or maximize the volume of the box? O minimize maximize
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