Recovering an exponential relationship

Recovering an exponential relationship

5 marks
TGM Original
A straight-line graph of e2y against x2 passes through the plotted points (1,5) and (4,11). Find the relationship between x and y, and hence find y when x=2, correct to 3 significant figures.

Solution:

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Answer:\(\mathrm e^{2y}=2x^2+3\); \(y=\frac12\ln11\approx1.20\).

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