Solve. -A Single Bacterium Divides Every 0.5 Hour to Produce Two

question 4

Multiple Choice

Solve.
-A single bacterium divides every 0.5 hour to produce two complete bacteria. If we start with a colony of 6000 bacteria, after t hours there will be A(t) = 6000 · 2^2t = 6000 · 4^t bacteria. Find A'(t) and A'(1) .

• A) A'(t) = 6000(ln 4)4^t; A'(1) = 33,271 bacteria
• B) A'(t) = 6000(ln 2)2^t; A'(1) = 8317 bacteria
• C) A'(t) = 6000(ln 4)2^t; A'(1) = 16,635 bacteria
• D) A'(t) = 6000(ln 2)4^t; A'(1) = 16,635 bacteria

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Definitions:

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A group of economists in the late 18th and early 19th centuries who believed in the theory that markets function best without government intervention.

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A Scottish economist, philosopher, and author known as the father of modern economics, famous for his work "The Wealth of Nations."

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