Please show all work, step by step. Thank you so much!

Fig. 20 2 The parabolic container in Fig 20 is lled with water (pg = 62.5 mfg). We want to compute how much work is done pumping the water to a point 3 feet above the top ofthe tank. Since this is problem 5.3 #11 in the book: you can just look up the answer and get Work = I: pg (Ha-o!) My) :1: 52.5 [m2 dy] (5 y] = 62.5w I: 23; d3; {5 y) =28?9.8 PtL'gg. But the above equation is based on the origin (0:0) of the coordinate system being at the 1vertex of the parabola. Suppose instead the origin is at the top of the Tmater. W'hat values do the integral for work have in this coordinate system? PE? : Equation of the m d(voi] = My] = W051.\" 9'.\" g. The answer should not depend on the coordinate system. Use your values in (a) to (e) and show.r that your integral gives the same amount ofwork that the book got