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Recognizes the absolute extrema & relative extrema for the given function.
f ( x ) = x3 on [-2, 2]
Solution : Following is the graph for this function.
This function contain an absolute maximum of eight at x = 2 & an absolute minimum of negative eight at x = -2 . This function has no relative extrema.
Thus, a function doesn't have to have relative extrema as this example has shown.
Determine the centralizer and the order of the conjugacy: 1) Determine the centralizer and the order of the conjugacy class of the matrix [1, 1; 0, 1] in Gl 2 (F 3 ).
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