tg Graph of y f t The blue line in the f y plane shown...

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Calculus

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tg Graph of y f t The blue line in the f y plane shown above has the equation y f t This defines the linear function f a Consider the function A z f f t dt 0 Find an algebraic expression for A z valid for any z 2 A z for z 2 b Find F t the antiderivative for the function f t that obeys F 0 0 F t c Functions are identical if they give the same output values for every input The name of the variable used to define the function is irrelevant in testi condition True or False select The functions A and F are identical on the interval 5 00 True

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