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  2. Topic
    Mathematics
  3. Study Set
    Calculus Single and Multivariable
  4. Exam
    Exam 15: Optimization- Local and Global Extrema
  5. Question
    Consider the Function\(f ( x , y ) = e ^ { 1 - x ^ { 2 } - 2 y ^ { 2 } }\)
Solved

Consider the Function f(x,y)=e1−x2−2y2f ( x , y ) = e ^ { 1 - x ^ { 2 } - 2 y ^ { 2 } }f(x,y)=e1−x2−2y2

Question 3

Question 3

Essay

Consider the function f(x,y)=e1−x2−2y2f ( x , y ) = e ^ { 1 - x ^ { 2 } - 2 y ^ { 2 } }f(x,y)=e1−x2−2y2 Determine all local maxima, minima and saddle points of f.
Does f have a global maximum?

Correct Answer:

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