2014 A-level H1 Mathematics (8864) Question 3 Suggested Solutions

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions.


Graph for 3(i)

\frac{dy}{dx}= -e^{1-2x}(-2) = 2 e^{1-2x}

Sub (1, 1- \frac{1}{e}), ~ \frac{dy}{dx} = \frac{2}{e}

Tangent: y - (1-\frac{1}{e}) = \frac{2}{e}(x-1)

\therefore,  y = \frac{2}{e}x - \frac{3}{e} +1

KS Comments

Students should be able to get the graph out comfortably using the GC. They need to learn to find the asymptote though.

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