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Let f t 2t 14 and consider the two area functions A x f t dt and F x f t dt Complete parts a

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Let f t 2t 14 and consider the two area functions A x f t dt and F x f t dt Complete parts a c 10 a Evaluate A 8 and A 9 Then use geometry to find an expression for A x for all x 27 The value of A 8 is 1 Simplify your answer The value of A 9 is 4 Simplify your answer Use geometry to find an expression for A x when x 27 x 14x 49 Type an expression using x as the variable b Evaluate F 11 and F 12 Then use geometry to find an expression for F x for all x 2 10 The value of F 11 is 7 Simplify your answer The value of F 12 is Simplify your answer

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