Can someone help me with this one?

6.18. Reaction kinetics. Chemists often describe the rate of a saturating chemical reaction using Michaelis-Menten (R,) or sigmoidal (R) kinetics Rm(C) = Kc Kc2 k, + c' Rs( C ) where c is the concentration of the reactant, K > 0, k,, > 0 are con- stants. R(c) is the speed of the reaction as a function of the concentra- tion of reactant. (a) Sketch the two curves. To do this, you should analyze the be- haviour for c = 0, for small c, and for very large c. You will find a horizontal asymptote in both cases. We refer to that asymptote as the "maximal reaction speed". What is the "maximal reaction speed" for each of the functions Rm. R, ? Note: express your answer in terms of the constants K, k,. (b) Show that the value c = k, leads to a half-maximal reaction speed. For the questions below, you may assume that K = 1 and k, = 1. (c) Show that sigmoidal kinetics, but not Michaelis-Menten kinetics has an inflection point. (d) Explain how these curves would change if K is increased; if k,, is increased