ln(2) = 0.69314718...
(A) P(6)/P(0) = 2
.: k_g = ln(2) /6mth
(B) P(3mt) = 4000 e^{3 k_g}
(C) k_d = -ln(2) /10day
Suppose you know that a population,P, of termites is growing continuously in an exponential manner. (Use the formant P=P0e^kt) If the pest control service estimates that the number of termites will double in 6 months...
A) Determine the monthly continuous population growth rate k as a decimal to 4 places.
B) If the current number of termites is 4000, determine the population in 3 months. Use the rounded value k. Round your answer to the nearest whole termite.
C) The pest control service states that their treatment method will cut the number of termites in half every 10 days. Using the function type P=P0e^kt, determine the daily continuous decay rate,k,for the termite population under this treatment. Round to 4 places.
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