Specialist2024 NHT Exam 1 · Q5Tech-free5 marks

Line perpendicular to an implicitly defined curve

The curve defined by $6e^{y}\arctan\left(\dfrac{x}{\sqrt{3}}\right) - \pi\cos(y) = 0$ has an -intercept of .

Find the equation of the straight line that is perpendicular to the curve at this intercept.

Give your answer in the form $y = mx + c$ , where $m, c \in \R$ .

5 marks

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