1.A coworker is considering the use of a log linear (power) model using weight to estimate the cost of a missile engine. They have performed the following calculations in log space using natural logarithms. Select the corresponding unit space form of this power model equation.
2.The acceleration of point A is defined by the relation a = -1.08sin kt - 1.44 cos kt, where a and t are expressed in m/s^2 and seconds, respectively, and k = 3 rad/s. knowing that x = 0.16 m and v = 0.36 m/s when t = 0, determine the velocity and position of point A when t = 0.5 s
3.Over a long period, total phosphorus (TP) has been discharged to a lake through sewage and surface water runoff at a rate of 10 tons/day. Measures were then taken to reduce the TP load to 1 ton/day. Assume that TP decays by a first order process with a rate constant of 0.001 days^-1. The volume of the lake is 380x10^8 m^3 with a steady-flow in and out of 500 cms (cubic meters per second).