on this one i need help knowing if im going in the right direction.
The lengths of some fish are modeled by a von Bertalanffy function. For Pacific halibut,
this function has the form
L(t) = 200(1 ? 0.956e^?0.18t)
where L(t) is the length (in centimeters) of a fish t years old.
(a) Find the rate of change of the length of the fish as a function of time.
so i found the derivative and that is = 34.416e^-.18t
(b) At what rate is the fish’s length growing when it is exactly 2 years old? Include units
in your answer.
enter in 2 in the derivative and i got 24.01 cm/yr
(c) How old will the fish be when it is growing at a rate of 6 centimeters per year?
derivative =6 and solve for t
and i got 9.7yrs old
did i do this right?
The lengths of some fish are modeled by a von Bertalanffy function. For Pacific halibut,
this function has the form
L(t) = 200(1 ? 0.956e^?0.18t)
where L(t) is the length (in centimeters) of a fish t years old.
(a) Find the rate of change of the length of the fish as a function of time.
so i found the derivative and that is = 34.416e^-.18t
(b) At what rate is the fish’s length growing when it is exactly 2 years old? Include units
in your answer.
enter in 2 in the derivative and i got 24.01 cm/yr
(c) How old will the fish be when it is growing at a rate of 6 centimeters per year?
derivative =6 and solve for t
and i got 9.7yrs old
did i do this right?
