Uniform Density Stars: Struggling with Understanding

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Understanding uniform density stars can be challenging, particularly when it involves calculus and integration of complex equations. Many participants suggest breaking down the problem into manageable parts, starting with specific questions like part (a) of the assignment. A lack of calculus knowledge, especially regarding integration, can hinder comprehension of the material. It’s crucial to address foundational concepts before tackling advanced topics. Mastering these basics is essential for progressing in astrophysics studies.
Cythermax
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Homework Statement
Completely stuck on this. Posted it below.
Relevant Equations
Attached the equations
I don't know where to start. This chapter is incredibly confusing for me.
 

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Take it one step at a time. Can you do part (a)? When you say you "don't know where to start", does that mean you don't know enough calculus to integrate equation 10.48? If so, you're probably in trouble.
 

Thread 'Help with derivation of electric field of a moving charge'

At first, I derived that: $$\nabla \frac 1{\mu}=-\frac 1{{\mu}^3}\left((1-\beta^2)+\frac{\dot{\vec\beta}\cdot\vec R}c\right)\vec R$$ (dot means differentiation with respect to ##t'##). I assume this result is true because it gives valid result for magnetic field. To find electric field one should also derive partial derivative of ##\vec A## with respect to ##t##. I've used chain rule, substituted ##\vec A## and used derivative of product formula. $$\frac {\partial \vec A}{\partial t}=\frac...
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