(a) First find the intersections of

and

:

So the area of

is given by

If you're not familiar with the error function

, then you will not be able to find an exact answer. Fortunately, I see this is a question on a calculator based exam, so you can use whatever built-in function you have on your calculator to evaluate the integral. You should get something around 0.5141.
(b) Find the intersections of the line

with

.

So the area of

is given by


which is approximately 1.546.
(c) The easiest method for finding the volume of the solid of revolution is via the disk method. Each cross-section of the solid is a circle with radius perpendicular to the x-axis, determined by the vertical distance from the curve

and the line

, or

. The area of any such circle is

times the square of its radius. Since the curve intersects the axis of revolution at

and

, the volume would be given by
Answer:
1000 Grams : 1 Kilogram or 1 Kilogram : 1000 Grams
Step-by-step explanation:
In the metric system the value of a kilogram is solved like:

When converting from grams to kilograms, we solve it like:

Let's take for example:
2 KG is how many grams?
We use the grams to kilograms formula like so:

Then we end up with:
g = 2000
Answer:
3 1/3
Step-by-step explanation:
It is 3 1/3 because 2/3 x 5 equals 3.33333333333 which we shorten to 3.3 which equals 3 3/10 which that equals 3 1/3.
Answer:
D. 240
Step-by-step explanation:
We have 20 stamps in 1 book.
We are give 12 books.
20(12) = 240