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Mathematics (AS & A Level) · Feb / March 2017 · Paper 32 · Question 5

9709

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The curve with equation y = e−ax tan x, where a is a positive constant, has only one point in the interval 0 < x < 1 20 at which the tangent is parallel to the x-axis. Find the value of a and state the exact value of the x-coordinate of this point. [7] 9

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