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.
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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.
 
(a) The polarisation pattern is elliptical with maximum (1,1) and minimum (-1,-1), and anticlockwise in direction. (b) I know the solution is a quarter-wave plate oriented π/4, and half-wave plate at π/16, but don't understand how to reach there. I've obtained the polarisation vector (cos π/8, isin π/8) so far. I can't find much online guidance or textbook material working through this topic, so I'd appreciate any help I can get. Also, if anyone could let me know where I can get more...

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