The Gompertz model has bee used to model population growth. dy ry In dt subject to the initial condition y(0) = yo- (a) Solve the Gompertz model equation. %3D Hint: You may wish to let u = In - K The solution y(t) Yo (b) For r = 0.8 per year, K = 29,000 kg, = 0.3 use the Gompertz K model to find the predicted value of y(6). NOTE: Round your answer to the nearest integer. y(6) = Kg (c) For the same data as in part (b), use the Gompertz model to find the time T for which y(7) = 0.75K. %3D NOTE: Round your answer to two decimal places. Time т- years

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