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The curve C is paramterised by the equations: x = 5t + 3 ; y = 2 / t ; t > 0 Find y in terms of x and hence find dy/dx

x = 5t + 3 -> x - 3 = 5t -> (x - 3) / 5 = t
y = 2 / t -> y = 2 / ((x - 3) / 5) -> y = 10 / (x - 3) dy/dx = d/dx (10 / (x - 3)) -> dy/dx= -10 (x - 3)^-2

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The curve C is paramterised by the equations: x = 5t + 3 ; y = 2 / t ; t > 0 Find y in terms of x and hence find dy/dx

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