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stuck on these problems: 5. The Michaelis-Menten equation. When an enzyme is combined with a substrate of con- centration s (in millimolars), the reaction rate

stuck on these problems:

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5. The Michaelis-Menten equation. When an enzyme is combined with a substrate of con- centration s (in millimolars), the reaction rate (in micromolars/min) is As K+s (a) Show, by computing lim3_m.cJ 13(3), that A is the limiting reaction rate as the concentration 3 approaches 00. (b) Show that the reaction rate R(s) attains onehalf of the limiting value A when 5 = K. (c) For a certain reaction, K = 1.25 mM and A = 0.1. For which concentration 3 is R(s) equal to 75% of its limiting value? R{s) = (A, K constants). 11. A function continuous at only one point. Let 0, if :1: is irrational a: , if :1: is rational nm={" (a) Show that f is continuous at :1: = U. Hint: You can use the Sandwich / Squeeze Theorem for this one. (b) Explain Why the function is not continuous at any other point

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