# Calculus A 14

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A hard-boiled egg at 98℃ is placed in a sink of 18℃ water to cool. After 5 minutes, the eggs temperature is found to be 38° C.
a) Find the value of P in Newton’s Law of Cooling.
b) Find the value of the constant k rounded to nearest hundredth.

c) What is the temperature after 3 minutes?
d) How long does it take the egg to cool to 25℃ ?

• Calculus A 14 -

P, k? wouldn't that depend on how it is written, and in what language?

T(t)=18+80e^-kt

I have no idea what you mean as P.

for k, 38=18+80e^-k5
ln 38-ln18=ln80-5k
solve for k

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