Identify any extrema of the function by recognizing its given form or its form after completing the square. Verify your results by using the partial derivatives to locate any critical points and test for relative extrema. (If an answer does not exist, enter DNE.) f(x, y) = square root of   x2 + y2 + 64 relative minimum     (x, y, z)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Identify any extrema of the function by recognizing its given form or its form after completing the square. Verify your results by using the partial derivatives to locate any critical points and test for relative extrema. (If an answer does not exist, enter DNE.)

f(x, y) = square root of
  x2 + y2 + 64
relative minimum     (x, y, z)  = 
 
 
 
 
 
 
 
relative maximum     (x, y, z)  = 
 
 
 
 
 
 
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