A certain nature reserve can support no more than 4000 mountain goats. Assume that the rate of growth is proportional to how close the population is to this maximum, with a growth rate of 20 percent. There are currently 1000 goats in the area. (a) Solve the general limited growth differential equation, and then write a function describ- ing the goat population at time t. (b) What will the goat population be in 5 years?
A certain nature reserve can support no more than 4000 mountain goats. Assume that the rate of growth is proportional to how close the population is to this maximum, with a growth rate of 20 percent. There are currently 1000 goats in the area. (a) Solve the general limited growth differential equation, and then write a function describ- ing the goat population at time t. (b) What will the goat population be in 5 years?
A certain nature reserve can support no more than 4000 mountain goats. Assume that the rate of growth is proportional to how close the population is to this maximum, with a growth rate of 20 percent. There are currently 1000 goats in the area. (a) Solve the general limited growth differential equation, and then write a function describ- ing the goat population at time t. (b) What will the goat population be in 5 years?
A certain nature reserve can support no more than 4000 mountain goats. Assume that the rate of growth is proportional to how close the population is to this maximum, with a growth rate of 20 percent. There are currently 1000 goats in the area.
(a) Solve the general limited growth differential equation, and then write a function describ- ing the goat population at time t.
(b) What will the goat population be in 5 years?
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
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