A as it is wishes to manufacture a box with company a volume of 32 ft³ that is open on top and is twice as long wide. Find the dimensions of the box produced from the minimum amount of material. (a) The function to be minimized is M(w), Where is the material and w is the width of the bottom. M (W) = (6) The dimensions of the box with minimum surface area are

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
А company
wishes to manufacture a box with
a volume of 32 ft³ that is open on
Zwice as long
top and is
as it is
wide. Find the dimensions of the box
produced from the minimum amount
of material.
(a) The function to be minimized is M(w),
Where is the material and w is the
width of the bottom.
M (W) =
(6) The dimensions of the box with
minimum surface area
are
Transcribed Image Text:A А company wishes to manufacture a box with a volume of 32 ft³ that is open on Zwice as long top and is as it is wide. Find the dimensions of the box produced from the minimum amount of material. (a) The function to be minimized is M(w), Where is the material and w is the width of the bottom. M (W) = (6) The dimensions of the box with minimum surface area are
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