An ancient warship once covered 180 sea miles in 24 hours. Explain why at some point during this feat the​ ship's speed exceeded 7.3 knots​ (sea miles per​ hour).

Respuesta :

Answer:

Average speed is 184/24 = 7.667 knots

Explanation:

The average speed is 184/24 = 7.667 knots and by the Mean Value Theorem that speed must have been traveled at some point.

Mean value theorem :

It states that if f(x) is defined and continuous on the interval [a,b] and differentiate-able on (a,b), then there is at least one number c in the interval (a,b) (that is a < c < b) such that:

f'(c)=(f(b)-f(a))/(b-a)

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