Find the average rate of change of the function over the given interval. Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval. f(t)=t^2-7, [3,3.1]

Find the average rate of change of the function over the given interval. Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval.

$f(x)=\frac{1}{x+1}$, $\quad$ $[0,3]$

Find the average rate of change of the function over the given interval. Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval.

$f(x)=\frac{-1}{x}$, $\quad$ $[1,2]$

The height s (in feet) at time t (in seconds) of a silver dollar dropped from the top of the Washington Monument is given by

$$s=-16 t^2+555.$$

Find the average velocity on the interval [2,3].

Find the average rate of change of the function over the given interval. Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval.

ƒ(t) = 2t + 7, [1,2]

Find the average rate of change of the function over the given interval. Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval.

$$f(x)=\frac{-1}{x},\quad [1,2]$$

In this exercise, find the average rate of change of the function over the given interval. Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval.

$$f(x)=\frac{-1}{x}, \quad[1,2]$$

Find the average rate of change of the function over the given interval. Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval. f(x)= -1/x, [1,2]

Find the average rate of change of the function over the given interval. Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval. \

$$f(x)=\dfrac{-1}{x}, \quad[1,2]$$

Find the average rate of change of

$$f(x)=x^2-30 x+22$$

over the interval $[10,50]$.

Find the average rate of change of the function over the given interval. Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval.

$$f(t)=4t+5, \quad [1,2]$$

Find the average rate of change of the function over the given interval. Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval. $g(x)=x^{2}+e^{x}$, [0, 1]

The annual inventory cost C for a manufacturer is C = 1,008, 000 / Q + 6.3Q where Q is the order size when the inventory is replenished. Find the change in annual cost when Q is increased from 350 to 351, and compare this with the instantaneous rate of change when Q = 350.

At a large university, 49% of the students are female, 69% live in the dorms, and 42% are in-state residents. Further, 34% of the students are females who live in the dorms, 19% are females who are in-state residents, and 16% are in-state residents who live in the dorms. Finally, 7% of the students are females who live in the dorms and are in-state residents. Pick a student at random from this university. What's the probability that the chosen student is a male who does not live in the dorm and is not an in-state resident?