Question
Asked Oct 9, 2019
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choose the correct option 

a) (18/5,7/2)   b) (9/2,7/2) c) (4,3) d) (3,4)

Find centroid for the lamina of uniform density p bounded by the graphs of the equations.
+2
3
y= VI+2
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Find centroid for the lamina of uniform density p bounded by the graphs of the equations. +2 3 y= VI+2

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Expert Answer

Step 1

Given:

The lamina with uniform density p is boundedbetween the two curves
y = vx +2 and y =
2
The formula for the centroid is given as
1
М
1
dx
У
A
-/)-g()d
Where A =
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The lamina with uniform density p is boundedbetween the two curves y = vx +2 and y = 2 The formula for the centroid is given as 1 М 1 dx У A -/)-g()d Where A =

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Step 2

First find the limit points.

22
3
3
x
3
9
-9x0x(x-9)= 0
x0 or x = 9
Thus, a 0 and b 9
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22 3 3 x 3 9 -9x0x(x-9)= 0 x0 or x = 9 Thus, a 0 and b 9

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Step 3

Find the value of ...

dx
3
A =
2x2
3
6
0
2(9)
3
6
27 9
18-
2
2
en l
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dx 3 A = 2x2 3 6 0 2(9) 3 6 27 9 18- 2 2 en l

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