1. The sum of two numbers is 10. Find the numbers if the sum of their squares is to be minimum given that one number is twice the other.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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1. The sum of two numbers is 10. Find the numbers if the sum of their squares is to be minimum given that one number is twice the other.

2. A long strip of tin 30 cm wide is to be made into a gutter with rectangular cross section by turning up equal widths along the edges. Find the depth of the gutter which yields the greatest carrying capacity.

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