On the graph of an exponential function representing growth, what happens to the slope of the graph? the slope

a.) increases.
b.) decreases.
c.) stays the same.
d.) there is no slope.

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

The number if marbles of different colors stored in a hat is listed below: 4 red marbles 10 green marbles 7 blue marbles. without looking in the hat, dan takes out a marble at random. he replaces the marble and then takes out another marble from the hat. what is the probability that dan takes out a blue marble in both draws?

The radius of the earth is two times the radius of the moon. what fraction of the volume of the earth is the volume of the moon?