Another model for a growth function for a limited population is given by the gompertz function, which is a solution of the differential equation dpdt=cln(kp)p where c is a constant and k is the carrying capacity.(a) solve this differential equation for c=0.1, k=2000, and initial population p0=500. p(t)= .(b) compute the limiting value of the size of the population. limt→[infinity]p(t)= .(c) at what value of p does p grow fastest? p= .

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How many grams the dog will eat in 3 days?

Acompany produces packets of soap powder labeled “giant size 32 ounces.” the actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. to avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. to avoid losing money, it labels the top 5% (the heaviest 5%) overweight. how heavy does a box have to be for it to be labeled overweight?