Consider the following. (If an answer does not exist, enter DNE.) f(x) = sin²(x) = cos(2x), 0≤x≤ Find the interval(s) on which fis concave up. (Enter your answer using interval notation.) Find the interval(s) on which fis concave down. (Enter your answer using interval notation. Find the inflection points of f. smaller x-value (x, y) = larger x-value (x, y) =

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A: By using the Fundamental Theorem of Calculus to find the "area under curve" of  between .

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A: Given,

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A: The given conditions are .The aim is to find the equation of the function .

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A: Consider the triangle

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A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

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A: graph of  from

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A: To find the critical values of .

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A: To solve the following rational equation.

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A: The Power Rule:The Chain Rule:

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A: Consider

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