# Ind the area of the region bounded by the two circles y=x^3-6x^2+

Find the area of the region bounded by the two circles y=x^3-6x^2+8x and y=x^3-4x.

Posted by on

• Level 1:

An expert who has achieved level 1.

Corporal:

An expert that hasĀ over 10 points.

Mayor:

An expert whose answer gotĀ voted for 2 times.

Problem Solver:

An expert who has answered 5 questions.

• Contributor

The first step here is to draw a rough sketch of the two curves, and find the two points they meet. If you set x^3-6x^2+8x = x^3-4x, then you can rearrange this into the quadratic equation 6x^2-12x = 0. Solving this tells you x=0 or 2 : these are the two x values where the curves meet, and they give the bounds on your integral.

When you sketch the curves, you'll see that x^3-4x is below x^3-6x^2+8x, so the thing you need to integrate is (x^3-6x^2+8x)-(x^3-4x), that is, 12x-6x^2. If you integrate this from 0 to 2, you'll have the answer you need!

Posted on May 28, 2010

Hi,
a 6ya expert can help you resolve that issue over the phone in a minute or two.
best thing about this new service is that you are never placed on hold and get to talk to real repairmen in the US.
the service is completely free and covers almost anything you can think of (from cars to computers, handyman, and even drones).
goodluck!

Posted on Jan 02, 2017

×

my-video-file.mp4

×

## Related Questions:

### Find the equations of circles passing through (1,-1),touching the lines 4x+3y+5=0 and 3x-4y-10=0

First, I graphed the lines and the point using Desmos.com.

I noticed that the two lines are perpendicular to each other and the point (1,-1) appears to be on the right side of the circle, on a line parallel to 3x -4y-10=0. The equation of this line is y= 3/4x - 1.75. The y-intercept is -1.75. Now we have two points on the opposite sides of the circle, (1, -1) and (0,-1.75). The midpoint formula will give you the centre of the circle and the distance formula will provide the radius.

Let me know if you have any questions.

Good luck.

Paul
Desmos Beautiful Free Math

Jun 09, 2014 | Office Equipment & Supplies

### Philips 757 VR Combi

The preset region in DVD players cannot be changed, sorry.

Aug 11, 2008 | Philips Televison & Video

Tip

### Playstation2 Region Free Fix

Sony Playstation 2 DVD Player Region Free Fix

Would you like to unlock your Sony Playstation 2 DVD Player to Region Free?

There is more than one model of PS2, and more than one PS2 DVD player module. For some models or modules, only a Messiah 2 or Magic 2 chip installation will make them region free. However, many can be made region free, for free.

1. Press and hold CIRCLE, RIGHT, L1
2. Press and hold L3 and push the stick in hard
3. Boot into the PS2 browser without a CD/DVD in the tray
4. Press CIRCLE and R1 on the DVD
5. Hold RIGHT until a menu appears
6. Press CIRCLE and R1 again
OR
1. Load the DVD into the PS2
2. At the browser screen, select the CD icon the press and hold SQUARE then CIRCLE until the DVD menu appears, holding both buttons all of the time
3. Either select the PLAY icon or the MOVIE START icon

Your Sony Playstation 2 DVD Player is now Region Free.

I hope that helps.

on May 02, 2010 | Sony PlayStation 2 (PS2) Console

Tip

### PS2 DVD Region Free Fix

Sony Playstation 2 DVD Player Region Free Fix

Would you like to unlock your Sony Playstation 2 DVD Player to Region Free?

There is more than one model of PS2, and more than one PS2 DVD player module. For some models or modules, only a Messiah 2 or Magic 2 chip installation will make them region free. However, many can be made region free, for free.

1. Press and hold CIRCLE, RIGHT, L1
2. Press and hold L3 and push the stick in hard
3. Boot into the PS2 browser without a CD/DVD in the tray
4. Press CIRCLE and R1 on the DVD
5. Hold RIGHT until a menu appears
6. Press CIRCLE and R1 again
OR
1. Load the DVD into the PS2
2. At the browser screen, select the CD icon the press and hold SQUARE then CIRCLE until the DVD menu appears, holding both buttons all of the time
3. Either select the PLAY icon or the MOVIE START icon

Your Sony Playstation 2 DVD Player is now Region Free.

I hope that helps.

on May 02, 2010 | Televison & Video

### Help finding the circumferance of a circle

The circumference of a circle is given by the expression
Circumference= 2* PI* Radius of circle
C=2*Pi*R
The area is given by
Area of a disk with radius R = Pi* R*R or PI*R^2
Area= PI*R^2

Mar 11, 2014 | SoftMath Algebrator - Algebra Homework...

### Y>x^2-4x+3

You need to draw the curve y= x^2-4x+ 3. It is a parabola. The equality (=) is verified by all points on the curve. The curve divides the whole plane in two regions. In one region y will be less than x^2-4x+3. In the other regions y will be larger than x^2-4x+3
The regions are the interior of the parabola and its exterior. To find out the region where your inequality is verified you proceed as follow.
1. Look at the graph and choose the coordinates of one point. Select integer values (BTW the point (0,0) is usually a good candidate) and write y ? x^2-4x+3 where the ? stands for the inequality sign you will have to insert to make the relation correct.
2. Take x=0, and y=0 and substitute in y ? x^2-4x+3
3. 0 ? (0^2)-4*(0)+3.
4. Clearly the ? stands for < because 0 <3.
5. So at all the points in the region where (0,0) is located the condition y< x^2-4x+3 is TRUE.
In the other region y < x^2-4x+3, is FALSE and that second region (the one that does not contain the origin (0,0) is the one you need to find. It represents your solution set. Note that the origin (0,0) does not lie in the solution set region

Mar 03, 2014 | Casio FX82ES Scientific Calculator

### WHAT IS THE AREA OF a circle with a diameter of 20 cm

Come on princess. Use the formula for the area of a circle: Area=PI*D*D/4
where PI can be entered using a key on the calculator, and D is the diameter.
Area =100*Pi cm^2 or about 314.159 cm^2

Feb 03, 2012 | Office Equipment & Supplies

### If you know about area formulas of class 8 and 9,please solve my question?there is a circle.in the between of the circle,there is a rectangle of dimension 4cm and 3cm.if the rectangle will cut out what...

The diameter of the circle is the diagonal of the rectangle use Pythagoras this rectangle is a made from two 3,4,5 triangles, so the diameter is 5cm, the radius will be 2.5cm don't forget the BODMAS ordering rule (Brackets of Division Multiplication Addition and Subtraction) Also rounding to 2 decimal places. This solution is based on all four corners of the rectangle touching the circumference of the circle.

Area of a circle is P (22/7) i x Radius (squared ^2) ====> 22/7 x 2.5cm ^ 2 ====> 22/7 x 6.25cm

TOTAL AREA of CIRCLE = 19.64 cm^2

Area of the rectangle is length x width ====> 4 cm x 3 cm

TOTAL AREA of RECTANGLE = 12 cm ^2

The remaining portion is the circle area minus the rectangle 19.64-12 = 7.64 cm^2

SIMPLES brought to you by SpideRaY @ http://www.windowstipsclub.com

Jan 31, 2011 | Computers & Internet

### Find the area of a square whose sides are (4x+3)meters long each.

To get area, multiply the two sides together.
(4x+3)(4x+3)

16x^2(i.e.squared) + 24x + 9

Proof : If x=2
then side would be 11m
area would be 121m squared

Using our formula,
64 + 48 + 9
or 121m squared

Mar 09, 2010 | Kodak Cameras

### Will not shift from 4wheel drive

try shifting while trans is in neutral-might be bound up at the servomotor-

Apr 09, 2009 | 2000 Chevrolet Silverado 1500

## Open Questions:

#### Related Topics:

229 people viewed this question

Level 3 Expert

Level 3 Expert