hello, I'm looking for step-by-step assistance with steps a-e in the "Designing a Solar Collector" project:

I Designing a Solar Collector You want to design a solar collector that will concentrate the sun's rays at a point. By symmetry this surface will have a shape that is a surface of revolution obtained by revolving a curve about an axis. Without loss of generality, you can assume that this axis is the x-axis and the rays parallel to this axis are focused at the origin (see Figure 2.16). To derive the equation for the curve, proceed as follows: (a) The law of reflection says that the angles y and & are equal. Use this and results from geometry to show that B = 20.Group Projects for Chapter 2 87 (b) From calculus recall that dy/dx = tan o. Use this, the fact that y/x = tan B, and the double angle formula to show that 2 dyl dx 1 - (dy/dx ) 2 ods Involving (c) Now show that the curve satisfies the differential equation (8) dy _ - x + Vx2+ yz dx (d) Solve equation (8). [Hint: See Section 2.6.] (e) Describe the solutions and identify the type of collector obtained. 60 ti gard words wolf unknown curve (x, y) sun rays anaged to obtain a fully accumte anto doneCle Sessionout thement city of Alexand Y vod certain essuter arth is a perfect sphere, tangent line rallol paths. the city Southof Alexandria, and dealations Bratosthene Joostegg in which the print could be applied Today, as seigotists so Purthe urstudies of u more pragainbe B Haveal problem ming our wumickiner reality by odeling. Figure 2.16 Curve that generates a solar collector Formulating problems in