A thin wire has the shape of the curve [MATH]x = sqrt(9-y^2)[/MATH] from 0 ≤ y ≤ 3. Calculate the mass of this wire, considering that its linear mass density is given by ρ(x, y) = [MATH]x*sqrt(y)[/MATH].
I parameterized the circumference going from 0 to pi. However, by calculating the line integral, I got a mass of 0. Is that correct?
I parameterized the circumference going from 0 to pi. However, by calculating the line integral, I got a mass of 0. Is that correct?