It is hard to comprehend your question. As far as I understand:
f(x,y) = e^(-x)
Find the volume over region R = {(x,y): 0<=x<=ln(6), -6<=y <= 6}.
That is all I understood. It would be easier to understand with a picture or some kind of visual aid.
Anyways, to find the volume between the surface and your rectangular region R, we must evaluate a double integral of f on the region R.

Now evaluate,

which evaluates to, 5/6 if I did the math correct. Correct me if I am wrong.
Now integrate this w.r.t. y:

So,

I believe the value is 256
If you square 2 four times you will get 16
If you if you square 16 by two you will get 256 as your answer. Hope this helps!
Answer: Rate of A: 5/6
Rate of B: 3/5
A has a higher rate of change
Step-by-step explanation: You calculate slope/rate of change by determining the rise over the run. The rate of change in A is 5/6x, this is bigger than the slope of B.
Answer:
The correct option is;
c. Her score was better than those of 60% of all test takers
Step-by-step explanation:
Percentile Score is the score of an exam or test candidate with regard to the relative performance of the other persons that took part in the exam or test.
The percentile score is calculated by converting candidates scores into a scale consisting of the scores of all candidates and ranging from 0 to 100
A 60th percentile score means that the student performed better than 60% of all the candidates of the test and 40% of the test takers scored the same as or better than the student.