4. The sum of two positive numbers is 16. What is the smallest possible value of the sum of their squares?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 77E
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Question
Number 4
First number
1
23
Second number
272
20
Product
22
855
42
60
(b) Use calculus to solve the problem and compare with your
answer to part (a).
2. Find two numbers whose difference is 100 and whose product
is a minimum.
3. Find two positive numbers whose product is 100 and whose
sum is a minimum.
4. The sum of two positive numbers is 16. What is the smallest
possible value of the sum of their squares?
5. Find the dimensions of a rectangle with perimeter 100 m
whose area is as large as possible.
Transcribed Image Text:First number 1 23 Second number 272 20 Product 22 855 42 60 (b) Use calculus to solve the problem and compare with your answer to part (a). 2. Find two numbers whose difference is 100 and whose product is a minimum. 3. Find two positive numbers whose product is 100 and whose sum is a minimum. 4. The sum of two positive numbers is 16. What is the smallest possible value of the sum of their squares? 5. Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible.
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