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Given f'(x) = sin(x² −3) on the interval [-3,3], find the following.
a. Find the intervals where f(x) is increasing concave down. Justify.
b. Find the number of inflection points f(x) has on the open interval (-3,3). Justify.
c. Identify all the x-coordinates for the candidates of the absolute maximum.

Sagot :

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