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    Mathematics
  3. Study Set
    Applied Calculus
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    Exam 8: Functions of Several Variables
  5. Question
    The Function Where a and B Are Constants Is
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The Function Where a and B Are Constants Is

Question 55

Question 55

Essay

The function The function   where a and b are constants is sometimes referred to as a  bump function  and is used to construct functions which take on maximum values at certain points. Show that f(x, y) has a maximum at (a, b). where a and b are constants is sometimes referred to as a "bump function" and is used to construct functions which take on maximum values at certain points. Show that f(x, y) has a maximum at (a, b).

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Since fx(a, b) = 0 and fy(a, b) = 0, (a, b...

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