The temperature (in ) of a reaction is an invertible differentiable function of time…

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

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}

at

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

. (a)

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

(b)

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

(c)

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

(d)

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

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