Answer with Step-by-step explanation:
We are given that 
We have to prove that why the limit x approaches 0(csc(x)-cot(x)) involves an indeterminate form and prove that the limit equals to 0.

Because
and


We know that cos 0=1 and sin 0=0
Substitute the values then we get

We know that
is indeterminate form
Hence, the limit x approaches 0(csc(x)-cot(x)) involves an indeterminate form.
L'hospital rule:Apply this rule and differentiate numerator and denominator separately when after applying
we get indeterminate form
Now,using L' hospital rule

because 
Now, we get



Hence,
Over 4 years, there will be a loss of 60,000 acres per year, so 60,000 times 4 is equal to 240,000 acres. 240,000 is positive because the problem asks for the change, not the increase.
This is the work you will show
c=-60,000(4)
c=-240,000
So -240,000 represents the change.
You could also just count by -60,000 four times.
-60,000-60,000-60,000-60,000=-240,000.
To find the volume of something, you do the area times the height. In this case you already know the volume so you solve it like this:
(x represents the height since you don't know the value)
1440= 144 * x
1440 = 144x
1440/144= 144x/144
10 = x
Your height is 10:)
Answer:
I'm almost 30,000 dollars in debt
Step-by-step explanation:
It makes me cry
6 divided by 3.79 = 1.583 gallons