f(alpha) exercise 3

Estimate the value of f(alpha) at each of the indicated points of this tau(q) graph.
	This tau(q) curve has parameters r = 0.5, p1 = 0.05, p2 = 0.2, p3 = 0.3, and p4 = 0.05. Use the formula alpha(q) = (log(p1)*p1q + ... + log(p4)*p4q)/ (log(r)*(p1q + ... + p4q)), the formula tau(q) = -Log(p1q + p2q + p3q + p4q)/Log(r), and the formula f(alpha) = q*alpha + tau(q) to compute f(alpha) for the pictured points q = -1, q = 1, and q = 3. Here are the solutions.

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