Answer:
4800m³
Step-by-step explanation:
V=
=
=4800
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,

A. 2
b. 0
c. -2
d. 0
f(x) just means that the number in the parentheses is the x-value and if it asks for f(x) it wants the y-value at that x point

Step by Step Explanation:
- Evaluate the power: Any non-zero expression raised to the power of 0 equals 1
- Simplify: Simplify the expression
- Calculate the product: Any expression multiplied by 1 remains the same.
<h2>☆彡Hanna</h2>
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