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,

9x⁹ - 90x⁸ - 351x⁷
What do each of these numbers have in common?
They ALL have 9x⁷ in them!
So, divide each one of these by 9x⁷
9x⁹ ÷ 9x⁷ = 9x²
-90x⁸ ÷ 9x⁷ = -9x
-351x⁷ ÷ 9x⁷ = -39
So, factorized completely, it is :
9x² - 9x - 39
~Hope I helped!~
Answer:
120 degrees.
Step-by-step explanation:
All the angles in a triangle add up to 180. You have two of the angles given:
50 degrees and 70 degrees
To find the third angle of the triangle (BAC), use the expression:
180 - (50 + 70)
180 - 120
60
So, the third angle in the triangle is 60 degrees. Looking at angle DAB, you can see that it forms a straight line with angle BAC. A straight line is 180 degrees. Since we know BAC is 60, and BAC + DAB = 180, by doing 180 - 60, you can see that angle DAB is 120 degrees.
1/2 is written as a decimal as 0.50
Answer:
the answer is -5x + -8x-5/2x^2-3
Step-by-step explanation:
:)