3.33: Tangent from exponential curve to axes

0606/23/M/J/23 — Question 6 · 6 marks

3.33 diagram
The curve y=53e2xy = 5 - 3\mathrm{e}^{2x} meets the yy-axis at AA. The tangent at AA meets the xx-axis at BB. Find the length of ABAB.
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