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If y(s)=1/(s2-3s+2) , and y(t)=L-1(y(s)) , then y(1)=?
(a) e2-e
(b) e-e2
(c) e3-e2
(d) e2-e3
(e) e
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- how would I take the partial derrivitive of this equation, I cannot use the chain Rule as we have not learned it yet, the teacher said we would have to manipulate the equation somehow. f(x,y) = x2 ln(2y3 -x4)It is observed that a certain bacteria culture has a relative growth rate of 12% per hour, but in the presence of an antibiotic the relative growth rate is reduced to 5% per hour. The initial number of bacteria in the culture is 22. Find the projected population after 24 hours for the following conditions.(a) No antibiotic is present, so the relative growth rate is 12%.(b) An antibiotic is present in the culture, so the relative growth rate is reduced to 5%.The population, P, of the city of Hazelton has grown according to the mathematical model P = 65,000(1.075)*, where t is the number of years since 2005. a) At what percentage is the population growing? b) If this trend continues, during which year will the population reach approx. 100,000?
- The estimated Philippine population is 90 million in 2010 and the estimated growth rate was 2.4 % per year. That is n(2010) = 9 x107 and k= 0.024. So an equation for predicting the population with the stated initial condition and growth rate of 2010 isOvertaking City A has a current population of 500,000 people and grows at a rate of 3%/yr. City B has a current population of 300,000 and grows at a rate of 5%/yr.a. When will the cities have the same population?b. Suppose City C has a current population of y0 < 500,000 and a growth rate of p > 3%/yr. What is the relationship between y0 and p such that Cities A and C have the same population in 10 years?f(x) = e^(-x2+x) yp = e^(-x2)