can somebody help me with this? I have figured out part a b. and I want to know how to do part c. thanks.

5. The Michaelis-Menten reaction rate is an important model in the study of the chemical kinetics of enzymes (you may have been introduced to this model in a chemistry or biology class). In one variant applicable to a drug that is consumed in the liver we seek to solve for the time-dependent concentration clt) of a drug, which satisfies a dc dt Ac Btc with c(0) = Co. (6) Here A, B and care constants. (a) First, show that we can redefine variables to eliminate two of the constants. In other words, let (7) c(t)/ and = t/t" and find the constant t* such that the new initial value problem is you should identify a) do with (0) = 1 dt (7) 0 + (b) Solve this ODE analytically and plot the solution for a = 1/5.1,5. Hint: The "implicit" solution is such that it makes more sense to plot 7 versus o. (e) Now lets get practice with making approximations: Beginning with your exact solution, make reasonable approximations to estimate the time it takes to change the concentration from c= 10 to c= 10- and compare this approximation with the exact result. Hint: For