Answer these questions

2. Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximum population for the fish of that species in the lake) to be 10 000. Assuming that this population satisfies the Logistic Differential Equation 3? :kPU- %) where P is the population M is the carrying capacity t is time k is 1.025 a. Find an expression for the size of the population after t years (solve for the constant) b. Determine how long it will take for the population to increase to 5000