All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions.
(i)
![Graph for 3(i)](https://theculture.sg/wp-content/uploads/2015/08/Screen-Shot-2015-08-11-at-9.41.23-pm-300x247.png)
(ii)
![Rendered by QuickLaTeX.com \frac{dy}{dx}= -e^{1-2x}(-2) = 2 e^{1-2x}](https://theculture.sg/wp-content/ql-cache/quicklatex.com-15faeceab03f35271b047a3dbe453d8a_l3.png)
Sub ![Rendered by QuickLaTeX.com (1, 1- \frac{1}{e}), ~ \frac{dy}{dx} = \frac{2}{e}](https://theculture.sg/wp-content/ql-cache/quicklatex.com-c138667037d57317e0fa4d667f3e966b_l3.png)
Tangent: ![Rendered by QuickLaTeX.com y - (1-\frac{1}{e}) = \frac{2}{e}(x-1)](https://theculture.sg/wp-content/ql-cache/quicklatex.com-da36335b5287ec35e6bcd4bdf6216ef8_l3.png)
![Rendered by QuickLaTeX.com \therefore, y = \frac{2}{e}x - \frac{3}{e} +1](https://theculture.sg/wp-content/ql-cache/quicklatex.com-d5077e09c5292b85d12379635a3b4c10_l3.png)
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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