Solve the equation ${{\rm{e}}^x} = 4\sin x$ , for $0 \le x \le 2\pi$ .

evidence of appropriate approach     M1

e.g. a sketch, writing ${{\rm{e}}^x} - 4\sin x = 0$ 

$x = 0.371$ , $x = 1.36$     A2A2     N2N2

[5 marks]

Although many students started with an analytical approach, many also realized they were not going further and successfully used their GDC to find the intercepts with the x-axis if they had set the equation equal to 0, or in other cases, they found the intersection of the two graphs. The better candidates drew a reasonable sketch and found the two values without difficulty. A good number of candidates did not provide a sketch, however, and they had more trouble earning the mark for showing method. Accuracy penalties were relatively common on this question.