Hi, could you help me with this problem. I got parts a and c correct but I need

Question

Hi, could you help me with this problem. I got parts a and c correct but I need to know how to get them. I definitely need the answer to part b though and how to solve it. I said 20 but that obviously is wrong. An answer to all the parts would be ideal. Thank you so much for your help.

The length (in centimeters) of a typical Pacific halibut t yr old is given approximately by the following. f(t) = 240(1 - 0.945e^-0.24t) (a) What is the length of a typical 9-yr-old Pacific halibut? cm (b) How fast is the length of a typical 9-yr-old Pacific halibut increasing? cm/yr (C) What is the maximum length a typical Pacific halibut can attain? cm

Explanation / Answer

a) we need f(9)

we get

f(9) = 240(1- 0.945e-0.24*9) = 240 -26.1557374514 = 213.85 = 214

b)

differnetiating w.r.t ' t' we get

df/dt = 0.945 * 0.24 * e-0.24t

for t =9

we get

=240* 0.02615573745 = 6.277cm/yr

c) maximum length will be obtained at t= infinity

we get

f = 240(1 - 0) =240 years

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