Part a: Option D 18 feet per second
Part b: increasing
Solution:
Height
Part a: To find the average rate of change for h(t) between t = 0 and t = 2.
Substitute t = 0 in h(t).
h(0) = 3
Substitute t = 2 in h(t).
h(2) = 39
Average rate of change formula:
Here, a = 0 and b = 2.
= 18
Average rate of change = 18 feet per second
Option D is the correct answer.
Part b:
This means height of the ball is increasing for 0 < x < 2.
Four points which lie at (0,0) ; (0,2) ; (2,2) ; (2,0)
What is the figure formed?What is the area of the figure?
The given points lie on graph as per the order given in the attachment.
Which shape?
As the points lie 2 units apart from their adjacent sides. It can be a square or rhombus.
The opposite pairs of sides are also parallel to each other. The adjacent sides of the figure formed are also perpendicular to each other.
<u>Hence! the figure formed is a square.</u>
What is the area?