IITM BS Question 6 - Week 5 Practice

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IITM BS Question 6 - Week 5 Practice | Prasnya

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Q6Numerical3 Marks11 Dec 2022

Two types of bacteria (type A and type B) are present in a glass of water. Suppose

f_A(t) = 2^{(2t+1)^2 - 81}

and

f_B(t) = 5^{t^2 + t - 20}

, where

f_A(t)

and

f_B(t)

represent the number of bacteria of type A and type B at some time

t

respectively. At what time is the number of type A bacteria equal to the number of type B bacteria?

Your answer

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11 Dec 2022

Mathematics 1 · Week 5

Q6.Two types of bacteria (type A and type B) are present in a glass of water. Suppose

f_A(t) = 2^{(2t+1)^2 - 81}

and

f_B(t) = 5^{t^2 + t - 20}

, where

f_A(t)

and

f_B(t)

represent the number of bacteria of type A and type B at some time

t

respectively. At what time is the number of type A bacteria equal to the number of type B bacteria?

Your Answer

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