Answer:

For this case we know that
represent the radius,
the height and the rate given is:


And replacing we got:

And that represent 
Step-by-step explanation:
For a tank similar to a cylinder the volume is given by:

For this case we know that
represent the radius,
the height and the rate given is:

For this case we want to find the rate of change of the water level when h =6m so then we can derivate the formula for the volume and we got:

And solving for
we got:

We need to convert the rate given into m^3/min and we got:

And replacing we got:

And that represent 
Answer:
b. How many ways arc there to go 12 miles?
≡ p(12) = 25
c. How many ways arc there to go 20 miles?
≡ p(20) = 131
d. How many ways arc there to go 22 miles?
≡p(22) 199
Step-by-step explanation:
a) supposed you walked for the first hour. Then you would have travelled 3 miles. if you jogged you would have covered 5miles and if you run you would have covered 10miles. now you have to decide how to run the rest miles from the n miles.
Thus, the number of ways one can cover n miles will be given by the recurrence relation
p(n) = p( n-3) + p( n-5) + p( n - 10)
now to solve the rest of the question, let us make a table which provides the number of ways for n = 1 to 22.
check the attachment for the table
b. How many ways arc there to go 12 miles?
≡ p(12) = 25
c. How many ways arc there to go 20 miles?
≡ p(20) = 131
d. How many ways arc there to go 22 miles?
≡p(22) 199
Each girl will get 4 tangerines
Complex zeroes always occurs as conjugates.
For z = a + b i conjugate is: a - b i
Another zero is : 2 + 3 i.
Verification:
2 + 3 i + 3 - 3 i = - b/a
- b = 4, a = 1
( 2 + 3 i ) ( 2 - 3 i ) = c / a
4 - 9 i² = c / a
4 + 9 = c / a
c = 13
( x^4 - 4 x³ + 14 x² - 4 x + 13 ) : ( x² - 4 x + 13 ) = x² + 1
x² + 1 = 0
x² = -1, x = i, x = -i
The zeroes are: - i , i , 2 + 3 i, 2 - 3 i.
Answer:
One another zero of f ( x ) is 2 + 3 i.