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?

Consider the following approximations for the first derivati…

Consider the following approximations for the first derivative: (forward difference formula}) (center difference formula) In class, we learned how the truncation and round-off errors for the center difference formula are proportional to h2 and , respectively . Minimizing the total error, yields an optimal step size . (a) The truncation and round-off errors for the forward difference formula are proportional to h and , respectively. Minimize the total error to find the optimal step size . Hint: < . (b) Evaluate the derivative of at x = 1 using the two formulae with their respective optimal step sizes. Which formula is more more accurate? The true derivative is e.

What conclusion can be drawn from the extract below? Choose…

What conclusion can be drawn from the extract below? Choose the most suitable option.Preventive treatment was associated with a reduction in TB disease among children who had tuberculin skin test conversion (aHR, 0.23; 95% CI, 0.12 to 0.47). However, most cases of TB disease (78 of 98; 79%) occurred among children who had tuberculin skin test conversion but were not administered preventive treatment.

What can we conclude from the extract below:”To the best of…

What can we conclude from the extract below:”To the best of our knowledge, this is the first birth cohort study to prospectively investigate M tuberculosis infection and tuberculosis disease in the first decade of life in an area with a high tuberculosis burden,”

What is another suitable reporting verb for saying as it is…

What is another suitable reporting verb for saying as it is used in the extract below? Wilhelm Röntgen was awarded the first Nobel Prize for his investigations into X-rays (Physics). However, he refused to limit the potential uses of X-rays by taking out patents, saying that his discoveries belonged to humanity, and gave away his Nobel Prize money. (Taken from The Science Book, edited by R. Colson, C. Halliman & D. John, 2015. London: Penguin Random House, page 187.)