The correct answer is 1.0906
Answer:
The domain that makes sense for this function is all values greater than or equal to 0.
Step-by-step explanation:
A ball is thrown into the air from a height of 4 feet at time <em>t</em> = 0. It is modeled by the function:

The domain of the function is time <em>t</em>. The range of the function is the ball's height in the air <em>h</em>.
Since time is our domain, we must restrict our domain to values equal to or greater than 0 since time cannot be negative.
Therefore, the domain that makes sense for this function is all values greater than or equal to 0.
In interval notation, this is:

And as an inequality:

Answer:
3/10
Step-by-step explanation:
Given data
Sample space
3 red,
2 white, and
5 blue marbles.
Sample size
=3+2+5
=10
Hence the probability of picking a red marble is
=3/10
Using integration, it is found that the area under the graph of f(x) in the desired interval is of 1 unit squared.
<h3>How is the area under a graph found?</h3>
The area under the graph of a curve f(x) between x = a and x = b is given by the following integral:

In this problem, the function and the limits of integration are given by:


Hence:

Using substitution:



Hence:

Applying the Fundamental Theorem of Calculus:

Hence, the area under the graph of f(x) in the desired interval is of 1 unit squared.
To learn more about integration, you can take a look at brainly.com/question/20733870
Answer:
the square
Step-by-step explanation:
perpendicular = 90 degrees