Answer:
Step-by-step explanation:
In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).
The formula we will use for this problem is the following:
where:
a=0
so the volume becomes:
This can be simplified to:
and the integral can be rewritten like this:
which is a standard integral so we solve it to:
so we get:
which yields:
]
Answer:
C = 64.145º
Step-by-step explanation:
The Law of Sines is as follows:
=
=
The problem can be draw as the picture attached.
Now, the values of the sides and angles can be substituted into the Law of Sines, and because all parts are equal, only two are needed:
=
Next, cross-multiply:
7sin40º = 5sinC
Then, divide both sides by 5:
= sinC
Finally, take the inverse sin of the left side and convert into a decimal:
C = (
)
C = 64.145
