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Maximum length What two nonnegative real numbers a and b
Chapter 4, Problem 23RE(choose chapter or problem)
QUESTION:
Maximum length What two nonnegative real numbers a and b whose sum is 23 (a) minimize \(a^{2}+b^{2}\)? (b) Maximize \(a^{2}+b^{2}\)?
Questions & Answers
QUESTION:
Maximum length What two nonnegative real numbers a and b whose sum is 23 (a) minimize \(a^{2}+b^{2}\)? (b) Maximize \(a^{2}+b^{2}\)?
ANSWER:Solution Step 1 In this problem the sum of two nonnegative real numbers a and b is 23. We have to find 2 2 the values of a and b with the objective function a +b to maximize and minimize. That is it is enough to find the critical point regarding aand b Critical point: An interior point cof the domain of a function f at which f(c) = 0or f(c)fails to exist is called a critical point of f