• frank0520
Let C be one lobe of the lemniscate 100r^2 =36cos(2θ), -π/4≤θ≤π/4. Suppose a wire in the shape of C has a linear density function ρ(x,y)=sqrt(x^2 +y^2). Find the center of mass of the wire. Show all your computations but round your final answers to two decimal places. Hint: Use implicit differentiation on the equation above; in polar coordinates, ds=sqrt(r^2 + (r')^2) dθ is particularly simple. In fact, ρ ds=c dθ for some constant c.
Mathematics
• Stacey Warren - Expert brainly.com
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