try also solve this by Variation of Parameters method! Solve the following initial value problem: y" – 2y – 3y = 3re", y(0) = y/(0) = 1. %3D %3D !!

On a monthly basis, when a factory employs L worker-hours of labor, they can produce Q(L) = 7L + 40L/6 scooters. An investment in labor of K dollars gives them an employment level of L(K)=0.055K – 12,500 K worker-hours. The factory currently invests 2,000 dollars in labor. At what rate is the number of scooters being produced changing with respect to the amount they invest in labor? Round your final answer to 2 decimal places and include units with your answer. а.

In order to keep the songbirds in the back yard happy, one person puts out 14g of seeds at the end of each week. During the week, the birds find and eat 70% of the seeds. The DTDS for the amount of seeds in the back yard at time t where t is measured in weeks and seeds are counted just after a new supply is given by Xt+1 = 0.3х, + 14 Which of the following is an equation for the general solution of this DTDS, based on an initial seed quantity of 50g? None of the above/below Xt = (0.7)'(50) + 50 Xị = (0.3)'(30) + 64 Xt = (0.3)'(30) + 20 X; = (14)'(50) + 20 Xị = (0.7)'(30) + 20 = lx

Paul's firm produces the same good as Sal's firm. The total cost of producing qp units in Paul's firm is Cp( qp ) = 8.6 qp + 1.1. The total cost of producing qs units in Sal's firm is    Cs( qs ) = 8.6 qs + 1.1. What is the efficiency loss if each person's firm produces half of a total of 523 units?