Suppose the population of fish in a lake in month t is given by the equation...

Suppose the population of fish in a lake in month t is given by the equation F(t) = 800 − 500e^-0.2t

(a) Plot the equation for t in the interval [0,24].

(b) Is the function increasing, decreasing or neither? Is it concave up, down, or neither?

(c) As t → ∞, F (t) →( ). Fill in the blank and explain what this means in words.

Expert Solution

So , we get the required graph of given equation.

b). As we see in the graph that the given function is decreasing but it is neither concave up or cancave down.

c). when t-> infinity

f(t)->(800-500e-0.2t) and in this equation the vaule of f(t) gives more negative value because value of t and f(t) is inversely proportional that means more positive t value gives more negative f(t) value. the the whole graph forms a decreasing graph for t-> infinity.

milcah answered 2 years ago

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