Answer is C. Reflection in the line y=x
If i were you, I would just plug these into my calculator.
1. 1.587
2. 11.469
3. 6.503
4. 1.81
5. 28.984
Multiply 80 by 14 to get how many total people they can feed.
80 times 14 is 1120.
Now, divide 1120 by 32 to get how many days the food will last if 32 people come every day.
1120/32 = 35.
The answer is B, 35 days
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:
The volume of the jewelry box will be given by,

Step-by-step explanation:
It is provided that, Jasmine found a wooden jewelry box shaped like a right rectangular prism.
Consider the diagram below for the shape of a right rectangular prism.
The volume of a right rectangular prism is given by the formula:

Here,
l = length of the rectangle
w = width of the rectangle
h = height of the rectangular prism
Thus, the volume of the jewelry box will be given by,
