Answer:
-20 gallons per minute
Step-by-step explanation:
Answer:
Option c
or 
Step-by-step explanation:
The absolute value is a function that transforms any value x into a positive number.
Therefore, for the function
x> 0 for all real numbers.
Then the inequation:
has two cases
if
(i)
if
(ii)
We solve the case (i)

We solve the case (ii)

Then the solution is:
or 
Answer:
Given : Expression -
To find : How would the sum of cubes formula be used to factor given expression? Explain the process. Do not write the factorization.
Solution :
The formula of sum of cubes is,

First we convert the given expression in 

Apply exponent rule : 

Rewrite 
Therefore,
could be written as 
On comparison with the formula,
a=xy , b=7

Answer:
2) C
3) D
4) D(5,-5) E(2,-7) F(4,-1) G(8,-8)
Step-by-step explanation:
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,
