Slope= y^2-y^1
————
x^2-x^1
slope= 12-0
——-
6+2
slope= 12
—-
8
slope= 3/2
perpendicular slope is the opposite reciprocal
perpendicular slope= -2/3
The answer would be A. Master plan
Answer: 5
Step-by-step explanation:
hope this help get a A
(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
1:B, 2:A, 3:D, 4:A
those are the answers