Ques- Crenesate an issegulas tigure Cosiginal Lusing a gsapher. and uith the help of tuo funitions letermine by means of integsåls the centse of mass f that figuse of detesmine the centse of mass the segion let us bounded by of loint intessection -2 +2 2x²=8 入= 土2 Now+ calculate asea of the bounded Region : A Eld-x²)-x=] dx 2 2 &x - 2x3 3 2/16 16 3 64 %3D 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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isegules tiguse Cosiginal ) using a graphr
Ques- renesate an
and with the help of two funtions
letermine by means of Bntegråls the centse of mess
of tat figuse
let us
determine the centse of mass
of
the segion
bounded by
y = x²
laint
intessection
५= ४-x-
= 8-x2
+2
2x²=D8
%3D
入= 土2
calculate arla the bounded Region:
of
Now+
A
El&-x?)-x=] dx
2
2 8x- 2x3
3
16
3
%3D
64
3
Transcribed Image Text:isegules tiguse Cosiginal ) using a graphr Ques- renesate an and with the help of two funtions letermine by means of Bntegråls the centse of mess of tat figuse let us determine the centse of mass of the segion bounded by y = x² laint intessection ५= ४-x- = 8-x2 +2 2x²=D8 %3D 入= 土2 calculate arla the bounded Region: of Now+ A El&-x?)-x=] dx 2 2 8x- 2x3 3 16 3 %3D 64 3
let the centse of mass is
A
-2
fx{(8=x=)-x²]dx
3.
64
-2
2
2x4
(8x - 2x3) dx
t
8x2
3.
64
%3D
|
64
-2
fl6-8
3
4x²- xY
,412
%3D
3.
t6-8
64
64
हे ई हिजिय 11]1x
Now
A
{18-x*)e -
(x=)=] dx
3
64
[ (५ = \6x° +x1 -x* ] dx
%3D
3
128
-오
2
{h4-16x²] dx
128
-2
+64x-16x3|2
128
%3D
3
-2
- f
64(-2)-16(-8)3
3
3.
64(2)-16(2)3
128
3
3.
128
128 + 128 - 128
3
3
[\ - क+\)
3
Tt
3
3
2
3
= 4
%3D
Transcribed Image Text:let the centse of mass is A -2 fx{(8=x=)-x²]dx 3. 64 -2 2 2x4 (8x - 2x3) dx t 8x2 3. 64 %3D | 64 -2 fl6-8 3 4x²- xY ,412 %3D 3. t6-8 64 64 हे ई हिजिय 11]1x Now A {18-x*)e - (x=)=] dx 3 64 [ (५ = \6x° +x1 -x* ] dx %3D 3 128 -오 2 {h4-16x²] dx 128 -2 +64x-16x3|2 128 %3D 3 -2 - f 64(-2)-16(-8)3 3 3. 64(2)-16(2)3 128 3 3. 128 128 + 128 - 128 3 3 [\ - क+\) 3 Tt 3 3 2 3 = 4 %3D
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