Question 2: Anopentop box is to be made by cutting congruent squares of side length x from each corner of a 20 inch by 25 inch sheet of tin and bending up the sides. What are the dimensions of the box which maximizes the volume? What is the maximum volume? Illustrate with a labelled diagram.
Question 2: Anopentop box is to be made by cutting congruent squares of side length x from each corner of a 20 inch by 25 inch sheet of tin and bending up the sides. What are the dimensions of the box which maximizes the volume? What is the maximum volume? Illustrate with a labelled diagram.
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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Question
1. Calculate the equation for the volume of the box
2. Calculate the first derivative
3. Solve for the critical points
4. Assess the critical points on the domain
5. Calculate the dimensions of the box
6. Calculate the max volume (0.5 value, 0.5 units)
Transcribed Image Text:Question 2: Anopentop box is to be made by cutting congruent squares of
side length x from each corner of a 20 inch by 25 inch sheet of tin and bending
up the sides.
What are the dimensions of the box which maximizes the volume? What is the
maximum volume? Illustrate with a labelled diagram.
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