Does the funtion satisfy the mean value theorem on the given interval? f (x) = e^-5x, [0,2]

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Mathematics

Bella Williamson

9 January, 23:35

Does the funtion satisfy the mean value theorem on the given interval? f (x) = e^-5x, [0,2]

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Hershey · Answer 1

Yes, because it is continuous on [0,2] and differentiable on (0,2), the theorem states that there must exist some value c where a line tangent to c is parallel to the secant line through 0 and 2.