What is the completely factored form of f(x) = x3 – 2x2 – 5x + 6?

a. f(x) = (x + 2)(x – 3)(x + 6)
b. f(x) = (x + 2)(x – 3)(x – 6)
c. f(x) = (x – 2)(x + 3)(x – 1)
d. f(x) = (x + 2)(x – 3)(x – 1)

Suppose that f(0) = −3 and f '(x) ≤ 8 for all values of x. how large can f(4) possibly be? solution we are given that f is differentiable (and therefore continuous) everywhere. in particular, we can apply the mean value theorem on the interval [0, 4] . there exists a number c such that

Over the course of the school year, you keep track of how much snow falls on a given day and whether it was a snow day. your data indicates that of twenty-one days with less than three inches of snow, five were snow days, while of the eight days with more than three inches of snow, six were snow days. if all you know about a day is that it is snowing, what is the probability that it will be a snow day?

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