1. F(s) = 16/[s(s²+4)] 2. F(s) = (8s + 11)/[(s-4)(s²+9)]
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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.Jesaki Inc will sell N units of product after spending $x thousand in advertising, as given by N= 66 x−x2. Use differential approximations to estimate the increase in sales that will result by increasing the advertising budget from $10,000 to $10,589. Round to the nearest integer. $Find f using the initial value problem
- The work force of a certain factory is growing at rate of 2 per month while the average productivity of a worker is growing at a rate of 4 units per month. If the work force is currently 100 and the average productivity per month is 200 units, at what rate is the total productivity per month of the factory increasing?The revenue per month earned by the Couture clothing chain at timetisR(t) =N(t)S(t),whereN(t) is the number of stores andS(t) is the average revenue per store per month. Couturereleases a statement to their investors saying that currently they have 50 stores with a total revenueof$7,500,000 and expect to increase the number of stores by about 2 stores per month and increasetotal revenue by about$250,000 per month. What does this statement imply about the current rateof change of the average revenue per store per month?How do I solve the initial value problem using P(x), Q(x) and v(x)?
- What is the initial condition at x = 0 of the solution plotted on graph c)?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?I don't understand why X'(0)=0 and not X(0)=0 because in the previous problems, the initial conditions were X(0)=0.