3. Piece of cake A cake is sliced roughly in half, the largest piece being chosen each time, the other pieces discarded. We will assume that a random cut creates pieces of proportions: P = { & B w.p. w.p. 384 Thus, for example, the first cut (and choice of largest piece) may result in a piece of size. Cutting and choosing from this piece might reduce it to size (3/3) (3/3) at time 2, and so on. How large, to first order in the exponent, is the piece of cake after n cuts?

3. Piece of cake A cake is sliced roughly in half, the largest piece being chosen each time, the other pieces discarded. We will assume that a random cut creates pieces of proportions: P = { & B w.p. w.p. 384 Thus, for example, the first cut (and choice of largest piece) may result in a piece of size. Cutting and choosing from this piece might reduce it to size (3/3) (3/3) at time 2, and so on. How large, to first order in the exponent, is the piece of cake after n cuts?

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter14: Powers

Section: Chapter Questions

Problem 18A: In the following table, the lengths of the sides of squares are given. Determine the areas of the...

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