The temperature (in ) of a cooling liquid is given by

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

The temperature

T

(in

^{\circ}\mathrm C

) of a cooling liquid is given by

T = 5c^{2}+20

, where

c

is its concentration in mol L

^{-1}

. At an instant when

c = 3

and the concentration is decreasing at

0.02

mol L

^{-1}

per minute, the rate of change of temperature is (a)

0.6\;^{\circ}\mathrm C\,/\,\text{min}

(b)

30\;^{\circ}\mathrm C\,/\,\text{min}

(c)

-0.2\;^{\circ}\mathrm C\,/\,\text{min}

(d)

-0.6\;^{\circ}\mathrm C\,/\,\text{min}