Mathematics

Mathematics

Problem

The temperature

T

(in degrees Celsius) of an object at a distance

d

(in meters) from a heat source is modeled by

T(d)=\dfrac{100}{1+d^{2}}

. The distance varies with time according to

d(t)=2t+1

. What is

\dfrac{dT}{dt}

at

t=2

? a)

-\dfrac{1000}{169}

b)

\dfrac{500}{169}

c)

-\dfrac{500}{169}

d)

-\dfrac{250}{169}

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