TSR DECISIONS DROP IN Q and A NOW OPEN - GET FREE ADVICE HERE >>

TSR DECISIONS DROP IN Q and A NOW OPEN - GET FREE ADVICE HERE >>

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C4 Differentiation Question?

The rate of cooling of a metal ball placed in melting ice is proportional to its own temperature T, Show by differentiating that at a time t, T=Ae^(-kt), where A and k are positive constants.

I get that dT/dt = -kT
Just dont knoe where to go from that....

Reply 1

dT/dt = -kT
INT (1/T)dT = INT (-k)dt

lnT = -kt + c
T = e^(-kt + c)
T = (e^c)(e^-kt)
T = Ae^(-kt) , where A = e^c

A,k positive constants

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