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2) A bacteria culture is known to grow at a rate proportional to the amount present. After one hour, 1000 strands of the bacteria are observed in the culture: and after four hours, 3000 strands. Find (a) an expression for the number of strands of the bacteria present in the culture at any time t and (b) the number of strands of the bacteria originally in the culture. Ans: (a) N = cekt; (b) 694 (Fogiel, 1994)

2) A bacteria culture is known to grow at a rate proportional to the amount present. After one hour, 1000 strands of the bacteria are observed in the culture: and after four hours, 3000 strands. Find (a) an expression for the number of strands of the bacteria present in the culture at any time t and (b) the number of strands of the bacteria originally in the culture. Ans: (a) N = cekt; (b) 694 (Fogiel, 1994)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 13E
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Establish the governing first-order differential equation based on physical principles
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2) A bacteria culture is known to grow at a rate proportional to the amount present. After one hour, 1000 strands of the bacteria are observed in the culture: and after four hours, 3000 strands. Find (a) an expression for the number of strands of the bacteria present in the culture at any timet and (b) the number of strands of the bacteria originally in the culture. Ans: (a) N = cekt; (b) 694 (Fogiel, 1994)
Transcribed Image Text:2) A bacteria culture is known to grow at a rate proportional to the amount present. After one hour, 1000 strands of the bacteria are observed in the culture: and after four hours, 3000 strands. Find (a) an expression for the number of strands of the bacteria present in the culture at any timet and (b) the number of strands of the bacteria originally in the culture. Ans: (a) N = cekt; (b) 694 (Fogiel, 1994)
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