Answer:
y=(1/3)x+5
Step-by-step explanation:
Slope-intercept: y=mx+b
m=((y2-y1)/(x2-x1)) = (6-4)/(3+3)= 2/6= (1/3)
y=(1/3)x+b
plug in one of the points (3,6)
6=(1/3)(3)+b
6=1+b 5=b
I don’t understand the equation but you can use Photomath to solve any equation you need to solve. It’s and app for free.
Point W represents the y-intercept
(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:
3x+y
Step-by-step explanation:
It's already in simplest form, you can't do anything else to it.