Question

N(t) = egin{cases} f(t) & ext{for } 0 le t < 6 \ 25t + 150 & ext{for } 6 le t < 8 \ frac{200 + 80t}{2 + 0.05t} & ext{for } t ge 8 end{cases} The number of fish in a pond at time t years is modeled by the function N defined above, where f is a continuous function such that f(0) = 80. (a) Find lim_{t o infty} N(t). Explain the meaning of lim_{t o infty} N(t) in the context of the problem.

          N(t) = egin{cases} f(t) & 	ext{for } 0 le t < 6 \ 25t + 150 & 	ext{for } 6 le t < 8 \ frac{200 + 80t}{2 + 0.05t} & 	ext{for } t ge 8 end{cases}

The number of fish in a pond at time t years is modeled by the function N defined above, where f is a continuous function such that f(0) = 80.

(a) Find lim_{t 	o infty} N(t). Explain the meaning of lim_{t 	o infty} N(t) in the context of the problem.

$N(t) = egincases f(t) extfor 0 le t < 6 25t + 150 extfor 6 le t < 8 frac200 + 80t2 + 0.05t extfor t ge 8 endcases The number of fish in a pond at time t years is modeled by the function N defined above, where f is a continuous function such that f(0) = 80. (a) Find limt o infty N(t). Explain the meaning of limt o infty N(t) in the context of the problem.$

Added by Usha C.

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