Answer:
Step-by-step explanation:
<u>Use properties of exponents:</u>
<u>Simplify the given expression:</u>
- 3⁴⋅x⋅(3/x²)⁻² =
- 3⁴·x·(3x⁻²)⁻² =
- 3⁴·x·(3⁻²)(x⁻²ˣ⁻²) =
- 3⁴⁻²·x¹⁺4 =
- 3²·x⁵ =
- 9x⁵
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,

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Step-by-step explanation:eeeeeeeeeeeeeeeeeeeeeeeeee
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Answer:
$0.74 per pound of potatoes
Step-by-step explanation: $37 divided by 50 pounds (37/50) = 0.74
First, you formulate a ratio of Audrey's work time to work done. In this case, 3/5 hour : 2/5 square yards. Expressing and simplifying that into a fraction would yield:
3/5 ÷ 2/5 = 3/5 * 5/2 = 3/2
We use this ratio to determine the sq yards she could paint in an hour:
1 hour * (1/(3/2) = 2/3 square yards
I hope I was able to help you with this question. Have a good day.