Help I Sameer Khan 300110674 I U Ottawa 5 4th Assignment Remaining Time 39 08 11 The Concentration S T Of A Substra 1 (53.16 KiB) Viewed 21 times
Help I Sameer Khan 300110674 I U Ottawa 5 4th Assignment Remaining Time 39 08 11 The Concentration S T Of A Substra 2 (34.2 KiB) Viewed 21 times
Help I Sameer Khan (300110674) I u Ottawa 5/ 4TH Assignment Remaining Time: 39:08:11 The concentration S(t) of a substrate at time t that is converted into a product is described by the Michaellis-Menten (or Monod) equation ds dt = f(S) = -0.95 0.8+ S for S>-0.8. Only the values of S20 are meaningful but, from a mathematical point of view, there is nothing that stops us to consider S>-0.8. That is what we assume below. a) Find the equilibrium point S for this differential equation. S*= Number b) Compute the derivative of f j'(s) = c) Complete the following table. Compute f(S) with an accuracy of two decimal places. Local stability for S f'(s*) Stability reason Of'(S*)>0 Of'(S*) <0 O'(S) ≤0 Number Click for List \f'(s*) <1 f'(s*) <1 Of'(S*) > 1 d) Complete the following table. Sign of f(S) Behavior of S S -0.8 Sº Click for List Click for List e) Which of the following figures represents the phase portrait of this differential equation? In these figures, &-0.8 Submit Assignment O Quit & Save Back
0.8 S* Click for List Click for List e) Which of the following figures represents the phase portrait of this differential equation? In these figures, b=-0.8. S b S* b S* S S* S B b S* f) Can we determine the stability of the equilibrium point S based only on the information from (e)? O True O False S Submit Assignment Quit & Save
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