# Calc

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The length (in centimeters) of a typical Pacific halibut t years old is approximately
f(t) = 210(1 − 0.94e^−0.2t).
(a) What is the length of a typical 9-year-old Pacific halibut?

cm

(b) How fast is the length of a typical 9-year-old Pacific halibut increasing?
cm/yr

(c) What is the maximum length a typical Pacific halibut can attain?

cm

• Calc -

a) plug in t=9

b) take the derivative

c) as t gets larger, e^-.2t gets smaller
so .94e^-.2t gets smaller
so you are left with
f(t) = 210(1 - 0) = 210

• Calc -

b) Take derivative and plug in 9?

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