Question

a region is bounded inxy-plane by the following curves
y=(x-2)^2 , y=x
find the area of that region
and the volume rotating about x
all i want is the sketch and the final answer just to check

Answer 1

Here's a sketch

Answer 2

okay they are intersected at 1 & 4 right ?

Answer 3

and the area will be dfinite integral from 1 to4 , the equation of striaght line - equation of the curve ?

Answer 4

?

Answer 5

actually it'll be from 0 to 2

Answer 6

@Loser66

Answer 7

why ! i solve for ax not ay

Answer 8

we want to solve it simltinoulsy so the intersection points will be 1 & 4

Answer 9

well it's for area..

Answer 10

hello @Luigi0210 change avatar?

Answer 11

hey one at a time, you or me? @Luigi0210

Answer 12

Yup, good way to express my feelings :l
and am I doing this right so far?

Answer 13

to me, first you must put every thing in neat
step 1 find the intersections, show me how?

Answer 14

HAHA // but i like your previous avatar ?

Answer 15

\[\int\limits_{0}^{2}x-(x^2-4x+4) dx\]

Answer 16

Oops

Answer 17

Yup, I realized that.. @amrmagdy you were right all along

Answer 18

the eqution is right but the limits are from 1 to 4 right or what ?

Answer 19

Yup

Answer 20

okay sanx alot both of you @Luigi0210 @Loser66 :)

Answer 21

so you got it? @amrmagdy ? both area and volume?

Answer 22

rigth the volume square the two equations under the integral multiplau by pi , thanks alot

Answer 23

Good job 66 :P

Answer 24

good job both of you :D

Answer 25

hey Lui, I like the previous avatar, too.

Answer 26

Well I'm not me at the moment ._.

Answer 27

you tag me to check, I am quite a fair guy, this time, the asker is good, I give him medal. hehehe...

Answer 28

Well I'll give you a medal for monitoring.. and I can leave empty handed D:

Answer 29

hahahha..... we should be gentlemen, right?

Answer 30

I suppose :l