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,

Answer: use this website https://www.symbolab.com/solver/polynomial-equation-calculator/%5Cleft(2x3%20%E2%88%92%203x%20%2B%2011%5Cright)%20%E2%88%92%20%5Cleft(3x2%20%2B%201%5Cright)%5Cleft(4%20%E2%88%92%208x%5Cright)
Answer:
x + 6y = -3
Step-by-step explanation:
Explained in the paper.
Answer:
A) Y=3X -2
Step-by-step explanation:
<u>B</u><u>)</u><u> </u><u>t</u><u> </u><u>=</u><u> </u><u>7</u><u>0</u><u> </u><u>h</u>
<u>A factory produces 70 toys per hour. The relationship between the number of toys produced, t, and the number of hours elapsed, h, is proportional.</u>