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A bacterial infection  is an internal wound grows as N’(t)=N0exp(t),where the time t is in hours. A dose of antibiotic, taken orally, needs 1 hour to reach the wound. Once it reaches there, the bacterial population goes down as   = −5N2.What will be the plot of  vs. t after 1 hour?

(a)

(b)

(c)

(d)



Question ID - 52701 | SaraNextGen Top Answer

A bacterial infection  is an internal wound grows as N’(t)=N0exp(t),where the time t is in hours. A dose of antibiotic, taken orally, needs 1 hour to reach the wound. Once it reaches there, the bacterial population goes down as   = −5N2.What will be the plot of  vs. t after 1 hour?

(a)

(b)

(c)

(d)

1 Answer
127 votes
Answer Key / Explanation : (b) -

When drug is administered bacterial growth is given by  = −5N2

=1+5tN0.  Thus  increases linearly with t.

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