Homework Help: Calculus

Posted by COFFEE on Monday, June 18, 2007 at 10:42pm.

Find the exact coordinates of the centroid. y = sqrt[x], y = 0, x = 9.
--------------
Is this basically 1/4 of an oval/ellipse? If so then the area would be: pi*9*3, correct?

So the X coordinate would equal: 1/Area * Integral from 0 to 9 of (x*f(x))*dx
Which equals: (4/(27*pi))*[(2/5)(x^(5/2))] evaluated at 9 and 0 which equals: 4.584?

The Y coordinate would equal: 1/Area * Integral from 0 to 3 of (1/2)*[f(x)]^2*dx
Which equals: (4/(27*pi))*(x^2)/4 evaluated at 3 and 0 which equals: 0.955

Am I using the wrong equation for area?

No one has answered this question yet.

Answer this Question

Related Questions

Calculus - Find the exact coordinates of the centroid. y = sqrt[x], y = 0, x = 9...
Calculus - Find the exact coordinates of the centroid. y = sqrt[x], y = 0, x = 9...
calculus - could some body please check this for me? 1. find the exact ...
geometry - Triangle PQR has vertices P(1,2), Q(25,2) and R(10,20). Find the ...
Calculus - Find the centroid of the area bounded by the curves: sqrt(x)+sqrt(y)=...
Calculus - I need to find the exact solution to: 2sin2x = sqrt(x)on the interval...
calculus II - Using integration by substitution. find the exact value of ...
maths - Given that the ellipse x^2/a^2 + y^2/b^2 =1 has foci at(+/-ae,0)where e ...
ellipse - Find the coordinates of the vertex and focus of the ellipse 9x Square...
Calculus - Hi, I need someone to double check my answer because it doesn't ...

For Further Reading

First Name:
School Subject:
Answer: