Engineering Calculus Notes 342

Engineering Calculus Notes 342 - 330 CHAPTER 3 REAL-VALUED...

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Unformatted text preview: 330 CHAPTER 3. REAL-VALUED FUNCTIONS: DIFFERENTIATION This yields two relative critical points: λ= √ 3 4 gives the point 2 2 2 √ , −√ , √ 3 3 3 where 2 2 2 f √ , −√ , √ 3 3 3 √ =2 3 while λ=− √ 3 4 gives the point 2 22 −√ , √ , −√ 3 3 3 where 2 2 2 f −√ , √ , −√ 33 3 √ = −2 3 . Thus, max x 2 +y 2 +z 2 2 2 2 f (x, y, z ) = f √ , − √ , √ 3 3 3 √ =2 3 2 22 f (x, y, z ) = f − √ , √ , − √ x 2 +y 2 +z 2 33 3 √ = −2 3 . max As a second example, let us find the point on the surface xyz = 1 ...
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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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