Since the pumping rate can be modeled using a differentiable function, the functions of "f(3)=30" and "f(5)=30" are the same. This means that f(3)=f(5) and there's a different value for an x value between 3 and 5, in this case, "f(4)=25." There must be at least one point in between 3 and 5 where the rate is zero according to Rolle's Theorem.
Include- "If it is differentiable, then it is continuous."
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