Minimizing Surface Area

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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Even if you only help with part a I'll be grateful.

3. Minimizing Surface Area
a.
Of all boxes with a square base and a fixed volume V, which one has the minimum surface area?
b. (Give its dimensions in terms of V.)
Let V = 1000 meters cubed and give the dimensions using your solution in part (a).
C.
d. Sketch the surface area function As that was minimized in part (a). Use a reasonable domain. Label
axes appropriately, including units.
Transcribed Image Text:3. Minimizing Surface Area a. Of all boxes with a square base and a fixed volume V, which one has the minimum surface area? b. (Give its dimensions in terms of V.) Let V = 1000 meters cubed and give the dimensions using your solution in part (a). C. d. Sketch the surface area function As that was minimized in part (a). Use a reasonable domain. Label axes appropriately, including units.
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