Answer:
=344
Step-by-step explanation:
(43)(8)
=344
(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:
( 7 , 4 )
given:
make y the subject in equation 2:
4x - y = 24
-y = 24 - 4x
y = 4x - 24
insert this in equation 1:
4x + 10y = 68
4x + 10(4x - 24) = 68
4x + 40x - 240 = 68
44x = 68 + 240
44x = 308
x = 7
solve for y:
y = 4x - 24
y = 4(7) - 24
y = 4
Tangent in geometry means: The tangent line <span>to a plane curve at a given point is the straight
line that "just touches" the curve at that point.
Hope I helped!
- Amber
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Answer:

Step-by-step explanation:
The first term of the sequence is

To find the second term add
to the first term;

To find the third term add
to the second term;

To find the fourth term add
to the third term;

The first four terms are
