7. A manufacture want to design an open box having a square base and a volume of 256 cm³. What dimensions will produce a box with minimum 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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Number 7 

2
(3x²-2
6. f(x) = (
2x+3
ind maximum or minimum problem for the following
7. A manufacture want to design an open box having a square base and a volume
of 256 cm³. What dimensions will produce a box with minimum surface area?
8. A rectangle is bounded by the x-axis and the semicircle y = v64 – x². What
- X
Transcribed Image Text:2 (3x²-2 6. f(x) = ( 2x+3 ind maximum or minimum problem for the following 7. A manufacture want to design an open box having a square base and a volume of 256 cm³. What dimensions will produce a box with minimum surface area? 8. A rectangle is bounded by the x-axis and the semicircle y = v64 – x². What - X
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