Engineering Calculus Notes 344

Engineering - 332 CHAPTER 3 REAL-VALUED FUNCTIONS DIFFERENTIATION reads 2x = yz 2y = xz 2z = xy Note rst that if xyz = 1 all three coordinates must

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332 CHAPTER 3. REAL-VALUED FUNCTIONS: DIFFERENTIATION reads 2 x = λyz 2 y = λxz 2 z = λxy. Note frst that iF xyz = 1, all three coordinates must be nonzero. Thus, we can solve each oF these equations For λ : λ = 2 x yz λ = 2 y xz λ = 2 z xy . Thus, we can eliminate λ —whose value is oF no direct importance to us—by setting the three right-hand sides equal: 2 x yz
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This note was uploaded on 10/20/2011 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.

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