Following are calculation to the given eqution:
Given:
To find:
Solve the equation.
Solution:
Therefore, the final solution is "".
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? ( Ellen has 2 quarters 1 dime and 1 nickel how many different amounts of money can you make using 1 ore more of these clubs )
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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,