The number of fish X in a small lake at time t months after a certain instant, is modelled by the DE dx dt = x(1 − kt), where is a positive constant. We may assume that Xx can be treated as a continuous variable. It is estimated that there are 10 000 fish in the lake when t = 0 and 12 months later the number of fish returns back to 10 000. (a) The value of the constant kis three decimal places.) (Round your answer to (b) While studying what will happen to the fish population in the long run, we find that lim x(t) = t48

The number of fish X in a small lake at time t months after a certain instant, is modelled by the DE dx dt = x(1 − kt), where is a positive constant. We may assume that Xx can be treated as a continuous variable. It is estimated that there are 10 000 fish in the lake when t = 0 and 12 months later the number of fish returns back to 10 000. (a) The value of the constant kis three decimal places.) (Round your answer to (b) While studying what will happen to the fish population in the long run, we find that lim x(t) = t48

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.3: Rates Of Change

Problem 30E: If the instantaneous rate of change of f(x) with respect to x is positive when x=1, is f increasing...

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