Answer:
B
Step-by-step explanation:
To rewrite the equation x + y + 3 = -2x + 4y + 18, first combine like terms.
x + y + 3 = -2x + 4y + 18
3x - 3y + 3 = 18
3x - 3y = 15
This is the standard form.
It can also be simplified by dividing each term by 3 to x - y = 5.
Answer: (-7,3)
Step-by-step explanation:
59.6 is the answer rounded to the nearest tenth
(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
Number Properties: PEMDAS
Parentheses, Exponents, Multiplication, Division, Addition, & Subtraction

1. Parentheses

There Are No Exponents, Multiplication, Division, Or Addition
2. Subtraction