Exercise 3.6.4 : Generalize Exercise 3.6.3 to give, as a function of r and b, the point of maximum slope and the value of that slope, for families of functions defined from the minhash functions by: A b-way OR construction followed by an r-way AND construction.

Exercise 3.6.3 : Any function of probability p, such as that of Fig. 3.11, has a slope given by the derivative of the function. The maximum slope is where that derivative is a maximum. Find the value of p that gives a maximum slope for the S-curves given by Fig. 3.11 and Fig. 3.12. What are the values of these maximum slopes?

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