Answer:

So then the integral converges and the area below the curve and the x axis would be 5.
Step-by-step explanation:
In order to calculate the area between the function and the x axis we need to solve the following integral:

For this case we can use the following substitution
and we have 

And if we solve the integral we got:

And we can rewrite the expression again in terms of x and we got:

And we can solve this using the fundamental theorem of calculus like this:

So then the integral converges and the area below the curve and the x axis would be 5.
the probability of getting tails up is 30/50 or most likely
the probability of getting a blue marble is 18/5 or least likely
Answer:
a(8) = -0.0027
Step-by-step explanation:
The most general formula for a geometric sequence is a(n) = a(1)*r^(n-1), where a(1) is the first term and r is the common ratio.
Here, the formula becomes a(n) = 6*(-1/3)^(n-1).
Substitute 8 for n to find the eighth term:
a(8) = 6*(-1/3)^(8-1), or a(8) = 6(-1/3)^7, or a(8) = -0.0027
First, let's find g(4). After we find it, we can substitute the value into
.
To find g(4), we need to substitute x = 4 into the function
, as shown below:



Now that we have found g(4) = 9, we can substitute this value in for
in
.



f(g(4)) is equal to 28.
Answer:
The numerical length of UW is 27
Step-by-step explanation: