Question: please be responsible, really need to study from your work Thank You! The globular cluster M13 is a spherical distribution of stars which orbits our

please be responsible, really need to study from your work Thank You!

The globular cluster M13 is a spherical distribution of stars which orbits our galaxy. Suppose that the density of stars in the cluster is purely a function of the distance r from the center of the cluster and is given by -5 p(r ) = 1 + 3 120 stars / (ly) 3 , where r is measured in light-years (ly), and Oars 120 ly. Set up an integral whose value is the number of stars in M13. (Hint: what is the formula for the surface area of a sphere?) . 120 A) 4TIF 2 (1 + (- 3 -5 120 dr 120 1-5 B) 2 mr 1 + dr 120 120 T1 1 + r 3\\-10 C) 120 dr 120 3 -10 D) 4 ur 1 + 120 dr O A) O B) O C) O D)

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