
Step-by-step explanation:
Since one of the boundaries is y = 0, we need to find the roots of the function
. Using the quadratic equation, we get

But since the region is also bounded by
, that means that our limits of integration are from
(instead of -3) to
.
Now let's find the volume using the cylindrical shells method. The volume of rotation of the region is given by





<span>1, 2, 5, 10, 13, 26, 65, 130 are the natural number factors of 130.
</span>
Answer:
631139.04 kilometers in 3 years
Step-by-step explanation:
Let x = how many kilometers she walk
y = time (minutes)
Since she walks 4km in 10 minutes.
x = 4, y = 10
(4,10)
But how many minutes if she walk only a kilometer? Divide x and y by 4.
(1,2.5)
She walks a kilometer under 2.5 minutes.
Now finding rate of changes.

Since m = 2.5
and of course, the function should be proportional so the equation should be y = mx.

Since time should be minutes instead of years.
Since 3 years = 1577847.6 minutes

Divide both sides by 2.5
