Question: Need help.... Use the Existence and Uniqueness Theorem discussed in class to show that g(x) = e * cos(x 2 2 has a fixed point

Need help....

Use the Existence and Uniqueness Theorem discussed in class to show that g(x) = e * cos(x 2 2 has a fixed point and that it is unique (and stable) on 2 , 7 . Carefully show all work. (Recall that finding the absolute extrema of g(x) can help one determine existence, and finding the absolute extrema of g'(x) can help one determine uniqueness and stability.)

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