A box with a square base with side length b and height h and with an open-top must have a volume of 500 cm 3 . Find the dimensions of the box ( b and h ) that minimize the amount of material used.

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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    1. A box with a square base with side length b and height h and with an open-top must have a volume of 500 cm 3 . Find the dimensions of the box ( b and h ) that minimize the amount of material used.
       
       
       
    2. Find the volume of the solid obtained by rotating the region bounded by the curves y = sin x and y = cos x, 0 ≤ x ≤ π 4 about the line y = − 1
       
       
       
 
 
 
 
 
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