2.19: Linear law: y2y^{2} against e2xe^{2x}

0606/23/O/N/18 — Question 8 · 7 marks

Variables xx and yy are such that when y2y^{2} is plotted against e2xe^{2x} a straight line is obtained which passes through the points (1.5,5.5)(1.5, 5.5) and (3.7,12.1)(3.7, 12.1).
(i)
Find yy in terms of e2xe^{2x}.
[3]
(ii)
Find the value of yy when x=3x = 3.
[1]
(iii)
Find the value of xx when y=50y = 50.
[3]