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                                                                                                                                                         Sample Exam

                                                                                                                                                                    MA5901

                                                                                                                                                            09 - 21 - 04

Calculus III Sample Exam Questions

wmoSection 12.5

1.  Describe the level surfaces of the function  f (x, y, z) = 
            (x^2) - (y^2) + 
              (z^2) in words.

Section 14.3

2.  Find the local linearization of the function f (x, y) = 
      ln (x - 3  y) at (7, 2) and 
      use it to approximate f (6.9,  
          2.06).