The answer to this is 384.57909
Answer:
Step-by-step explanation:
(X,Y)=(-55/2,-38
First .... the limit of the given function is NOT EQUAL to 5 (it diverges so it has no limit). There is a typo. The 14 should be positive.

The precise definition of a limit is:

Given:

⇒ 
When ε = 0.1, δ = 0.1
When ε = 0.01, δ = 0.01
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.