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A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutting out a square from each of the four corners and bending up the sides. Find the largest volume, V, that such a box can have. Instructions: X State the function to be optimized. • State the domain. Answer the question, including units. • Use the First Derivative Test to confirm your answer. x 3 ft

A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutting out a square from each of the four corners and bending up the sides. Find the largest volume, V, that such a box can have. Instructions: X State the function to be optimized. • State the domain. Answer the question, including units. • Use the First Derivative Test to confirm your answer. x 3 ft

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 15CT
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A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutting out a square from each of the four corners and bending up the sides. Find the largest volume, V, that such a box can have. Instructions: X x 3 ft State the function to be optimized. • State the domain. Answer the question, including units. • Use the First Derivative Test to confirm your answer. X X 3 ft
Transcribed Image Text:A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutting out a square from each of the four corners and bending up the sides. Find the largest volume, V, that such a box can have. Instructions: X x 3 ft State the function to be optimized. • State the domain. Answer the question, including units. • Use the First Derivative Test to confirm your answer. X X 3 ft
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