The curve with equation 6e 2x + ke y + e 2y = c, where k and

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The curve with equation 6e2x + key + e2y = c, where k and c are constants, passes through the point P with coordinates (ln3, ln 2).

i. Show that 58 + 2k = c.
ii. Given also that the gradient of the curve at P is −6, find the values of k and c.

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