3.51: Linear law: e2ye^{2y} against x2x^{2}

0606/13/O/N/21 — Question 9 · 10 marks

(a)
When e2ye^{2y} is plotted against x2x^{2}, a straight line through (4,7.96)(4, 7.96) and (2,3.76)(2, 3.76) is obtained. Find yy in terms of xx.
[5]
(b)
Find yy when x=1x=1.
[2]
(c)
Find the positive values of xx for which the straight line exists (domain of yy).
[3]