I'm going to rewrite f(t) to make it a little easier to use the power rule:

Now just take the derivative using the power rule:

Since they ask for f'(a), we need to replace the t's with a's:
Answer:
Factoring the term
we get 
Step-by-step explanation:
We need to factor the term 
First we can see that
is common in both terms
So, taking
common:

We can write
as 

Now we can solve
using the formula: 
We can write:

So, factoring the term
we get 
Is the equation suppose to be f(x)=x^2 and g(x)= x+5^2-9? the triangle thing means to the power of
Answer:
The requirements for the hypothesis test does satisfied the method for testing the claim that from two population proportions the rate of polio is less for children given the salk vaccine.
Step-by-step explanation:
The percentage of children in the treatment group was:
(201229/401974)*100 = 49.9%
The percentage of children given placebo was:
(200745/401974)*100 = 50.1%
The percentage of children that developed polio in the treatment group:
(33/200745)*100 = 0.0164%
The percentage of children that developed polio in the placebo group:
(115/201229)*100 = 0.0571%
The percentage difference between the two group:
((0.0571-0.0164)/0.0571) = 61.62%
Therefore:
The amount of children used for each group was almost divided into half of the total amount of children. The test revealed although very small percentages of the both group developed polio, 68.62% more children given placebo than the children that was given the salk vaccine. Therefore, the study shows that the rate of polio is less for children given the salk vaccine and the the hypthesis test is satisfied.
Answer:
C and D give rational numbers, as the square root of 49 is ±7 and the square root of 100 is ±10.