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
Parts A and B please
![](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7369c9e1-cd27-40fa-b19e-4e793313e403%2F90a66635-bd75-4f29-baca-f4c2b2c87291%2Fx1mx1yj.png&w=3840&q=75)
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
a) It is given that, a box has square base of side x and height h. The volume is 15 and surface area is small as possible.
Step 2
Use the given volume of the square as,
![Calculus homework question answer, Step 2, Image 1](https://content.bartleby.com/qna-images/answer/7369c9e1-cd27-40fa-b19e-4e793313e403/278825bb-20d6-4fad-b0d7-90099d7d92d5/313v0hc.png)
Step 3
From the surface area of the square,
![Calculus homework question answer, Step 3, Image 1](https://content.bartleby.com/qna-images/answer/7369c9e1-cd27-40fa-b19e-4e793313e403/278825bb-20d6-4fad-b0d7-90099d7d92d5/4pa3qse.png)
Step 4
Take the derivative and equate to 0 as,
![Calculus homework question answer, Step 4, Image 1](https://content.bartleby.com/qna-images/answer/7369c9e1-cd27-40fa-b19e-4e793313e403/278825bb-20d6-4fad-b0d7-90099d7d92d5/yzu706.png)
Step 5
Obtain the value of h as,
![Calculus homework question answer, Step 5, Image 1](https://content.bartleby.com/qna-images/answer/7369c9e1-cd27-40fa-b19e-4e793313e403/278825bb-20d6-4fad-b0d7-90099d7d92d5/f1wibof.png)
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