Mathematics

Problem

The temperature

T

(in

^{\circ}\!\text{C}

) of a reaction is an invertible differentiable function of time

t

(in seconds). At

t=10

s, the data are

T=150

and

\dfrac{dT}{dt}=3\;^{\circ}\!\text{C}\!\big/\!\text{s}

. Determine

\dfrac{dt}{dT}

T=150\,^{\circ}\!\text{C}

. a)

3\;\text{s}\big/^{\circ}\!\text{C}

-\dfrac13\;\text{s}\big/^{\circ}\!\text{C}

\dfrac13\;\text{s}\big/^{\circ}\!\text{C}

\dfrac1{15}\;\text{s}\big/^{\circ}\!\text{C}