AM-1741

Connected rates of change

A Math · Secondary 4 · Hard · Connected rates of change

A particle moves along the curve

y=\dfrac{4x-5}{x-1}

. The

y

-coordinate of the particle is increasing at a constant rate of

\dfrac{3}{16}

units per second. Find the value of

\dfrac{dx}{dt}

when

x=3

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