AM-1675

Connected rates of change

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

A particle moves along the curve

y = \dfrac{4(x+5)}{x+3}

, where

x \neq -3

. The

y

-coordinate is increasing at a constant rate of

\dfrac{3}{5}

units per second. Find the

x

-coordinate(s) of the particle at the instant when the

x

-coordinate is decreasing at a rate of 1 unit per second.

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