exercise:552aacd2c6: Difference between revisions

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(Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> (from Benkoski<ref group="Notes" >S. Benkoski, Comment on Problem \#1034, ''Mathematics Magazine,'' vol. 52, no.\ 3 (May 1979), pp. 183-184.</ref>) Consider a “pure” cloverleaf interchange in which there are no ramps for right-hand turns, but...")
 
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(from Benkoski<ref group="Notes" >S. Benkoski, Comment on Problem #1034, ''Mathematics Magazine,''
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vol. 52, no. 3 (May 1979), pp. 183-184.</ref>) Consider a “pure” cloverleaf
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(from Benkoski<ref group="Notes" >S. Benkoski, Comment on Problem \#1034, ''Mathematics Magazine,''
vol. 52, no.\ 3 (May 1979), pp. 183-184.</ref>) Consider a “pure” cloverleaf
interchange in which there are no ramps for right-hand turns, but only the two intersecting
interchange in which there are no ramps for right-hand turns, but only the two intersecting
straight highways with cloverleaves for left-hand turns.  (Thus, to turn right in such an
straight highways with cloverleaves for left-hand turns.  (Thus, to turn right in such an

Latest revision as of 22:16, 12 June 2024

(from Benkoski[Notes 1]) Consider a “pure” cloverleaf interchange in which there are no ramps for right-hand turns, but only the two intersecting straight highways with cloverleaves for left-hand turns. (Thus, to turn right in such an interchange, one must make three left-hand turns.) As in the preceding problem, your car approaches the interchange from the south. What is the value of [math]r[/math] that maximizes your chances of an eastward departure from the interchange?

Notes

  1. S. Benkoski, Comment on Problem #1034, Mathematics Magazine, vol. 52, no. 3 (May 1979), pp. 183-184.