The growth of malignant tumors can be modeled using the Gompertz model. dP dt r.P. where r>0 is the intrinsic growth rate and K> 0 is a constant. a) Find the general solution to the Gompertz model and state the significance of the constant K. b) A tumor with 2,500 cells is initially growing at a rate of 500 cells/day. Assuming the maximum size of the tumor is 100,000 cel how large will the tumor be after 50 days?

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Q: The growth of malignant tumors can be modeled using the Gompertz model. dP =r.P. In dt

A: Given,            dPdt=r.P. lnKPWhere r>0 is the intrinsic growth rate and K>0 is a constant.

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