SOLVE THE FOLLOWING PROBLEMS: 1. What is the relative maximum value of f(x) = x²(x + 3)? 2. What is the relative minimum value of f(x) = 2x3 – 6x + 5? %3D 3. What is the point of inflection of f(x) = (x + 2)3? %3D 4. What is the interval for which f(x) = - 3x is concave upward? %3D 5. What are the dimensions of the rectangular lot that can be enclosed using 1,000 meters of fencing material and whose area as large as possible?

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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Solve each problem and show the complete solution.

SOLVE THE FOLLOWING PROBLEMS:
1. What is the relative maximum value of f(x) = x²(x + 3)?
2. What is the relative minimum value of f(x) = 2x3 – 6x + 5?
3. What is the point of inflection of f(x) = (x + 2)3?
%3D
x3
4. What is the interval for which f(x) = - 3x is concave upward?
5. What are the dimensions of the rectangular lot that can be
enclosed using 1,000 meters of fencing material and whose area is
as large as possible?
Transcribed Image Text:SOLVE THE FOLLOWING PROBLEMS: 1. What is the relative maximum value of f(x) = x²(x + 3)? 2. What is the relative minimum value of f(x) = 2x3 – 6x + 5? 3. What is the point of inflection of f(x) = (x + 2)3? %3D x3 4. What is the interval for which f(x) = - 3x is concave upward? 5. What are the dimensions of the rectangular lot that can be enclosed using 1,000 meters of fencing material and whose area is as large as possible?
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