A function is given. h(t) = t2 + 3t; t = −1, t = 2

(a) Determine the net change of the function between the given values of the variable.

(b) Determine the average rate of change of the function between the given values of the variable.

(a) The net change of the function is 12.

(b) The average rate of change of the function 4.

Step-by-step explanation:

The average rate of change of function over the interval is given by this expression:

average rate of change =  

It is a measure of how much the function changed per unit, on average, over that interval.

Given:

(a) To find the net change of the function, first we calculate the values of and

The net change is simply the difference

(b) The average rate of change takes the net change and divides it by the change in the value.

arc length = 6.63311 ft.

step-by-step explanation:

the formula the arc measure is:

arc length s=2πr(c)/360

where:

c   is the central angle of the arc in degrees

r   is the radius of the arc

π   is pi, approximately 3.142

using the above formula we get

s =

thus we find that arc length of an arc for a circle of radius 20 feet and central angle 19 degrees is

6.63311 feet