Answer:lydra=21,horatio=17
Step-by-step explanation:
Answer:
11x + 12
Step-by-step explanation:
( 4x + 12 ) + 7x
Remove parentheses.
= 4x + 12 + 7x
Group like terms.
= 4x + 7x + 12
Add similar elements: 4x + 7x = 11x
= 11x + 12
Answer:
1024
Step-by-step explanation:
You could put 4^5 into your calculator. It’s 4*4*4*4*4= 1024
Answer:
a=4 and b=-1
Step-by-step explanation:
2(4)+3(-1)= 5
(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