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Unformatted text preview: x,y,z and w . Use this inequality to prove that a 3 + b 3 + c 3 3 abc for any real non-negative numbers a,b,c . (Hint: For the rst part, use the Arithmetic Mean-Geometric Mean inequality for two numbers. For the second part, make w := 3 xyz in the rst inequality.) 6. Bonus Question! Prove that: x 2 + y 2 + z 2 xy + yz + zx. for any real numbers x,y and z , When does equality hold ?...
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This note was uploaded on 12/07/2011 for the course MATH 245 taught by Professor Cioaba during the Fall '10 term at University of Delaware.
- Fall '10