The function f(x) = 2x° – 33x² + 168x + 11 has one local minimum and one local maximum. This function has a local minimum at x = Preview with function value Preview and a local maximum at æ = Preview with function value Preview

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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The function f()
2x
33x + 168x + 11 has one local minimum and one local maximum.
This function has a local minimum at x =
Preview
with function value
Preview
and a local maximum at æ =
Preview
with function value
Preview
Transcribed Image Text:The function f() 2x 33x + 168x + 11 has one local minimum and one local maximum. This function has a local minimum at x = Preview with function value Preview and a local maximum at æ = Preview with function value Preview
A piece of cardboard measuring 12 inches by 13 inches is formed into an open-top box by cutting squares with side
length æ from each corner and folding up the sides.
Find a formula for the volume of the box in terms of x
V(x) =
Preview
Find the value for æ that will maximize the volume of the box
x =
Preview
Transcribed Image Text:A piece of cardboard measuring 12 inches by 13 inches is formed into an open-top box by cutting squares with side length æ from each corner and folding up the sides. Find a formula for the volume of the box in terms of x V(x) = Preview Find the value for æ that will maximize the volume of the box x = Preview
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