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Q-6: A square sheet of cardboard with each side a centimeters is to be used to make an open-top box by cutting a small square of cardboard from each of the corners and bending up the sides. What is the side length of the small squares if the box is to have as large a volume as possible?

Q-6: A square sheet of cardboard with each side a centimeters is to be used to make an open-top box by cutting a small square of cardboard from each of the corners and bending up the sides. What is the side length of the small squares if the box is to have as large a volume as possible?

Calculus: Early Transcendentals
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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AutoSave ff MST129 TMA_Dec_2021 - Word Search yasser abozeid YA File Home Insert Draw Design Layout References Mailings Review View Help A Share O Comments O Find - Cambria Math v 14 A^ A Aav A EE - Ev AaBbCcD AaBbC AaBbCcI AaBbCcD Sc Replace Paste В IUab х, х* А A Emphasis Heading 1 1 Normal Strong Dictate Editor Reuse A Select v Files Clipboard a Font Paragraph Styles Editing Voice Editor |Reuse Files Q-6: A square sheet of cardboard with each side a centimeters is to be used to make an open-top box by cutting a small square of cardboard from each of the corners and bending up the sides. What is the side length of the small squares if the box is to have as large a volume as possible? Q-7: Find the equation of the tangent line to the graph of x3 + y³ – 3xy = 0 at the point (). Бе*(4х+3) Q-8: Consider the function f(x) = Using the logarithmic differentiation gin x (3-x)2 find an equation of the line tangent to the graph of f at x = 1. Page 5 of 5 440 words English (United States) D Focus 100% 9:03 PM e Type here to search 67°F ENG 11/20/2021 2
Transcribed Image Text:AutoSave ff MST129 TMA_Dec_2021 - Word Search yasser abozeid YA File Home Insert Draw Design Layout References Mailings Review View Help A Share O Comments O Find - Cambria Math v 14 A^ A Aav A EE - Ev AaBbCcD AaBbC AaBbCcI AaBbCcD Sc Replace Paste В IUab х, х* А A Emphasis Heading 1 1 Normal Strong Dictate Editor Reuse A Select v Files Clipboard a Font Paragraph Styles Editing Voice Editor |Reuse Files Q-6: A square sheet of cardboard with each side a centimeters is to be used to make an open-top box by cutting a small square of cardboard from each of the corners and bending up the sides. What is the side length of the small squares if the box is to have as large a volume as possible? Q-7: Find the equation of the tangent line to the graph of x3 + y³ – 3xy = 0 at the point (). Бе*(4х+3) Q-8: Consider the function f(x) = Using the logarithmic differentiation gin x (3-x)2 find an equation of the line tangent to the graph of f at x = 1. Page 5 of 5 440 words English (United States) D Focus 100% 9:03 PM e Type here to search 67°F ENG 11/20/2021 2
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