The length of some fish are modeled by a von bertalanffy growth 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 as a function of time

Suppose that a mass of 2 kg is attached a spring whose spring constant is 50. the system is damped such that b = 12 . the mass is set in motion with an initial velocity of -8 m/s at a position 0 meters from equilibrium. set up and solve a differential equation that models this motion. write your solution in the form a cos ( ω t − α ) where α is a positive number. use your solution to fill in the information below: what is the amplitude of the motion? what is the value of ω ? what is the phase shift?