Solve Astrophysics Problems: Quasar Time Scale and Density Models

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Hi. If anyone could help me start or solve these problems it'd be greatly appreciated.

Homework Statement


If a quasar varies on a time scale of 4 months, how does the maximum size of the emitting region compare with the Schwarzschild radius for a 10^4 Msun black hole?

2.Calculate omega(r) and v(r) for the following density models: all of the mass M is at the center of the galaxy (milky way) b) a constant density adding up to a mass M(Rnought) at the suns orbit and no mass beyond
 
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