A rectangle R with sides a and b is divided into two parts R1 and R2 by an arc of a parabola that has its vertex at one corner of R and passes through the opposite corner. Find the centroids of both R 1 and R2. У R₂ R₁ b R2 (x, y) = (x,y) = 63 b 23 -p1-27453 4/21 ū y 2-7 G (915) 쑖= [- 121/697 R₂ R₁ T A== b² b y-σ = ₤41-0) (3 5 =) (5) x7=h a A = 5 ≤ x dx = 6 [ x ] 1 2 [3] Ray) G y=2 20 11 2 ८. 1 2 ל S 2 x² dx 3
A rectangle R with sides a and b is divided into two parts R1 and R2 by an arc of a parabola that has its vertex at one corner of R and passes through the opposite corner. Find the centroids of both R 1 and R2. У R₂ R₁ b R2 (x, y) = (x,y) = 63 b 23 -p1-27453 4/21 ū y 2-7 G (915) 쑖= [- 121/697 R₂ R₁ T A== b² b y-σ = ₤41-0) (3 5 =) (5) x7=h a A = 5 ≤ x dx = 6 [ x ] 1 2 [3] Ray) G y=2 20 11 2 ८. 1 2 ל S 2 x² dx 3
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Hello, I am stuck on this center of mass problem. I thought I setup the inetgral appropriately but I think I may not be finding the equation of the line correctly.
Transcribed Image Text:A rectangle R with sides a and b is divided into two parts R1 and R2 by an arc of a parabola that has its vertex at one corner of R and passes through the opposite corner. Find the centroids of both R 1 and R2.
У
R₂
R₁
b
R2
(x, y)
=
(x,y) =
63
b
23
![-p1-27453
4/21
ū
y
2-7
G
(915)
쑖= [-
121/697
R₂
R₁
T
A== b²
b y-σ = ₤41-0) (3 5 =)
(5)
x7=h
a
A = 5 ≤ x dx = 6 [ x ] 1 2 [3]
Ray)
G
y=2
20
11
2
८.
1
2
ל
S
2
x² dx
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b313955-89cd-4b2a-a000-54fbe962adf3%2Fef593d89-0519-4964-bee0-ae5301be3d71%2F2g59c6n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:-p1-27453
4/21
ū
y
2-7
G
(915)
쑖= [-
121/697
R₂
R₁
T
A== b²
b y-σ = ₤41-0) (3 5 =)
(5)
x7=h
a
A = 5 ≤ x dx = 6 [ x ] 1 2 [3]
Ray)
G
y=2
20
11
2
८.
1
2
ל
S
2
x² dx
3
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