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Please show your work. A star of mass, M, and radius, R, has a density profile that increases linearly with radius in the star (r)

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A star of mass, M, and radius, R, has a density profile that increases linearly with radius in the star (r) via the expressions: p(r) = Pc (1 - R ). Here pc = central density (40pts). A. Find the mass stratification, i.e., m(r) (10pts) B. Find the Pressure stratification, i.e., P(r) (10pts) C. Derive the relation between total mass of the star M and R (10pts) D. What is the average density of the star in units of the core density (10pts)

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