Which statement is true for a positive valued function f(x)?

The average value of the function between (a, b), is the area under the curve of f(x) between (a, b) divided by (b-a).

The average value of the function between (a, b), is the area under the curve of f '(x) between (a, b).

The average value of the function between (a, b), is the area under the curve of f(x) between (a, b).

The average value of the function between (a, b), is the average of f(b) and f(a).

If an object's movement, distance over time, is modeled as d(t), then which of the following can be used to describe the average distance the object has moved?

The average value of d(t).

The average value of d '(t).

The Mean Value Theorem applied to d '(t).

The Mean Value Theorem applied to d(t).

\fWhat is the average value of f(x) between x = 0 and x = 2 7 where f(x) = sin(x)? O 2T O TT O 1 0 0What is the average value of f(x) = tan (3;) between x = U and a: = 211'? O -1 O 0 O 1 0 Average value cannot be found. Bob is running a fever that goes up and down with medication. His temperature is modeled as f{x) = 101 + 3sin{t), where t is in hours starting at midnight. What is his average temperature between 4 and 8 am? 0 100.61 0 101 0 101.314 0 103 A ball is thrown off a building which is 4 meters high, at time t = 0, and d(t) = -t2 + 4 is the height of the ball. What is the average rate of change of the ball between time t = 0 and t = 2? O -3 O -2 O 2 O 2.5Electric usage over the course of a day varies. The graph shown is of electricity costs per hour. Cost per hour 20 18 16 14 Cost $ 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 Time(hours) What is the average cost between t = 5 and t = 13 hours? O $3.75/hr O $4.75/hr O $4.89/hr O $5.75/hr