For the following reaction; 2A + 3B –> C A is a second orde…

For the following reaction; 2A + 3B –> C A is a second order reactant, and B is a first order reactant. The general rate law is:  rate = kab … You can use the desmos online calculator. a) If is 0.65M and is 0.008M when the rate of the reaction is 1.4 x 10-2 M/s, solve for the rate constant for that reaction.   b) using that rate constant, solve for the rate of the reaction when is 1.4 x 10-4M and is 2.75 x 10-2M   c) for the same reaction, solve for if the rate is 1.4 x 10-3 M/s when is 0.7M

The slope fields f(t, y) for two IVPs y’ = f(t, y) are shown…

The slope fields f(t, y) for two IVPs y’ = f(t, y) are shown below.   (a) Trace (approximately) the solution on both figures if the initial condition is y(t = 0) = 0.1 (indicated by the star). If you are taking the quiz online, then write down the approximate values of y(t) at four different points in the domain 0 < t < 10  (b) For which one of the two problems would a method like RK4 (classical explicit 4th order Runge-Kutta) be more appropriate? Why? (c) What method would you recommend for the other problem? Why?