Answer: option a.
Step-by-step explanation:
By definition, we know that:

Substitute
into the first equation, solve for the cosine and simplify. Then, you obtain:

As
then
:

Now we can find
:

Answer:
36 milliliters of rain.
Step-by-step explanation:
The rate at which rain accumluated in a bucket is given by the function:

Where r(t) is measured in milliliters per minute.
We want to find the total accumulation of rain from <em>t</em> = 0 to <em>t</em> = 3.
We can use the Net Change Theorem. So, we will integrate function <em>r</em> from <em>t</em> = 0 to <em>t</em> = 3:

Substitute:

Integrate:

Evaluate:

36 milliliters of rain accumulated in the bucket from time <em>t</em> = 0 to <em>t</em> = 3.
Add the equations in order to solve for the first variable. PLug this value into the other equations in order to solve for the remaining variables.
The answer is:
(2, -3)
Can you show a picture so we can see? It asks for a model.