Consider a set of identical dominoes that are 2 inches long. The dominoes are stacked on top
Question:
Consider a set of identical dominoes that are 2 inches long. The dominoes are stacked on top of each other with their long edges aligned so that each domino overhangs the one beneath it as far as possible (see figure).
a. If there are n dominoes in the stack, what is the greatest distance that the top domino can be made to overhang the bottom domino? Put the nth domino beneath the previous n - 1 dominoes.
b. If we allow for infinitely many dominoes in the stack, what is the greatest distance that the top domino can be made to overhang the bottom domino?
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Step by Step Answer:
a Note that the center of gravity of any stack of dominoes is the average of the locations of their ...View the full answer
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Related Book For 
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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