A goldsmith is designing a box with open top and square base. The box is suppose to have volume of 18cm³. The box will be made from a precious metal, so he wants to minimize its surface area. Let x be the length of the side of square base, and y the hight of the box. Find the values of r and u that minimize the surface

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 goldsmith is designing a box with open top
and square base. The box is suppose to have
volume of 18cm³. The box will be made from
a precious metal, so he wants to minimize its
surface area. Let x be the length of the side of
square base, and y the hight of the box. Find
the values of x and y that minimize the surface
area.
Transcribed Image Text:A goldsmith is designing a box with open top and square base. The box is suppose to have volume of 18cm³. The box will be made from a precious metal, so he wants to minimize its surface area. Let x be the length of the side of square base, and y the hight of the box. Find the values of x and y that minimize the surface area.
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