Could you write down every specific step for this question, and give the reason for every step about why we need this step. (give the reason is really important for me, and more details are what I want.)

(For example, after writing down the formula y=a+b, give the explanation about the explanation of where a and b come from. Then explain why a+b=y) Moreover, Please write the word clearly! Thank you so much !!!!!!!!!

4. An ellipse can be desribed by its eccentricity 0 S e 0. Page 2 (b) In the equation above, the origin is at one focus of the ellipse. Show that the furthest distance a point on the ellipse can be from the focus is a(1 + e). (c) Show that the closest any point on the ellipse can be to the focus is a(1 e). (d) Orbits of the planets around the sun are approximately elliptical with the sun at the focus. The eccentricity of Mars's orbit is 0.0934. At its furthest point from the sun, Mars is 1.6660 astronomical units from the sun (1 astronomical unit is the mean distance from the Earth to the Sun.) How far (in astronomical units) does Mars travel in one of its years