A sensor shows that the mass of a substance in a vessel is rising at while the…

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A sensor shows that the mass

y

of a substance in a vessel is rising at

0.15\,\mathrm{kg\,min^{-1}}

while the temperature

x

is increasing at

0.05\,^{\circ}\!\mathrm{C\,min^{-1}}

. Calculate

\dfrac{dy}{dx}

at that instant, correct to two decimal places, and state its units.