The answer would be 11 gallons.
The tub starts with 32 gallons. Every minute it loses 3 gallons.
So after 1 minute it has lost 3 gallons. For example:
32-3= 29 Meaning that after 1 minute the tub has 29 gallons left.
Now you have to remember that the tub is draining for 7 minutes. So it is losing 3 gallons 7 times, because it loses 3 gallons each minute and there are 7 minutes.
We can use multiplication to find how many gallons the tub loses after 7 minutes. This sign “X” basically means “groups of”. We have 7 groups of 3, or
7 X 3
This is the same as saying we have 3, 7 times. Written like this:
3+3 +3 +3 +3 +3 +3 = 21
So after 7 minutes the tub has lost 21 gallons.
Now we take the original number of gallons and take away what was lost:
32-21=11
So there are 11 gallons left after 7 minutes.
Please let me know if you need any further explanation. Hope this helped.
The logarithmic expression is
To expand the expression we have to use some properties of logarithm.
We know that 
By using this property we can write,
Square root means to the power 1/2, so for 
, we can write 
.
Now we have to use another property of logarithm.
We know that, 
So we will use this property to 
Now we have to use another property of logarithm.
We know that, 
By using this property we can write,
This is the required aswer here.
With
we have
The vector field evaluated over this parameterization is
so the line integral is
Answer:
both If's and a b
Step-by-step explanation:
I don't know for sure
