1.29: Diagram accurately draw

4PM1/2/January/2019 — Question 9 · 10 marks

1.29 diagram 1
The equation Figure line shows crosses part at of two the curve points. with equation y=(2x+3)12\displaystyle y = (2x + 3) 1 2 and the line l\displaystyle l with
(a) Find the coordinates of each of these points.
(5)
The about finite the x-axis. region bounded by C\displaystyle C and l,\displaystyle {\mathit{l}}_{\mathrm{,}} shown shaded in Figure 3,\displaystyle {\underline{{3}}}, is rotated through 360\displaystyle 360^{\circ}
(b) Use algebraic integration to find, in terms of π,\displaystyle \pi, the volume of the solid generated.
(5)