There were s students at a summer camp in 2010. In 2011, there were half as many students as the previous year. In 2012, there w
2 answers:
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Answer:
To make f continuous at ,
should be defined
Step-by-step explanation:
A function, let say , is defined at
is continuous at
If the limit of as
approaches
is equal to the value of
at
.
Mathematically it is written as:
if
then
is continuous at
.
So from the above definition, we conclude that:
To make f continuous at ,
should be defined
i.e.
if
then
is continuous at
.
The volume formula of a cone is 
the r is the radius and h is the height. However, if you multiply by pi, you will get an approximated volume of the cone. So we will multiply like this for now. 
Don't worry, we'll use pi in the end.
I'm going to assume that 7 inches is your radius. We need to plug in 7 for r and 4 in for h into the equation. Once we do that, it will look like this.
means we will need to divide one by 3. That gives us 0.33333... now we have to multiply by 
we get 16.33333... now the last thing we need to do is multiply by 4, which is h. We get 65.33333. Add pi and you have your answer. 
I'm going to assume that 7 inches is your radius. We need to plug in 7 for r and 4 in for h into the equation. Once we do that, it will look like this.
a. Parameterize by
with .
b/c. The line integral of over
is
d. Notice that we can write the line integral as
By Green's theorem, the line integral is equivalent to
where is the triangle bounded by
, and this integral is simply twice the area of
.
is a right triangle with legs 2 and 5, so its area is 5 and the integral's value is 10.