1. The given rectangular equation is .
We substitute .
Divide through by
2. The given rectangular equation is:
This is the same as:
We use the relation
This implies that:
3. The given rectangular equation is:
This is the same as:
We use the relation and
This implies that:
Divide through by r
4. We have
We substitute and
This implies that;
5. We have
We substitute and
This implies that;
Answer:
0 ≤ t ≤ 5.
Step-by-step explanation:
In the function ,
is the independent variable. The domain of
is the set of all values of
that this function can accept.
In this case, is defined in a real-life context. Hence, consider the real-life constraints on the two variables. Both time and volume should be non-negative. In other words,
The first condition is an inequality about , which is indeed the independent variable.
However, the second condition is about , the dependent variable of this function. It has to be rewritten as a condition about
.
.
Hence, t ≤ 5.
Combine the two inequalities to obtain the domain:
0 ≤ t ≤ 5.