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:
75 dollars
Step-by-step explanation:
If an item is 50 and you want to markup 50%, you must find 50% of 50 to find how much the item will go up by from 50.
So 50% of 50 means 50% times 50.
50%=.5 or 1/2
So .5(50)=25.
The item is going up by 25 dollars.
So we started at 50 dollars.
So 50+25 is going to be the new amount.
50+25=75 is the new amount.
Circumference=diameter times pi
diameter=12
circumference=12 times pi
we use pi=3.14
circumfernce=12 times 3.14
circumference=37.68 ft
round to tenth
8 is greater than 5 so roundup
37.7ft
Answer:
No, AB is not tangent to C.
If it were tangent, it would form a right angle with the radius, and we could use Pythagorean's Theorem.
3²+6²=7²
9+36=49
45=49 Since this is false, it's not a right angle, and AB is not tangent.
Step-by-step explanation:
No, AB is not tangent to C.
If it were tangent, it would form a right angle with the radius, and we could use Pythagorean's Theorem.
3²+6²=7²
9+36=49
45=49 Since this is false, it's not a right angle, and AB is not tangent.
Combine like terms.
4. 5x+9y+3x-2y
8x+7y
7. 22u-6u+4t+4t-8u
8u+8t
10. 23m+4n-3m
20m+4n