Tuesday, March 29, 2011

How To Build A Motorcycle Dune



jb
Here solved some problems of the book:

1) The hands of a clock measuring 4 cm and 6 cm, and connecting its ends forms a triangle .
Determines the time between the 12 h and 12 h 30 min in the triangle area is maximum.



2) In a circle of radius r draw the tangent at any point C and a chord AB parallel to this tangent.
obtain thus a triangle ABC whose area we want to be maximized. Shows that for this reason, the distance from C to the rope should be 3 / 2 of the radio.



3) In a semicircle of diameter AB = 2r draw a line CD parallel to AB.
What should be the length of the string so that the area of \u200b\u200bthe trapezoid ABDC is maximum?



4) The figure of the previous problem, we call E the midpoint of the arc CD and draw the pentagon AceDB
a) Calculate rope length CD for the Pentagon area is maximized.
b) Calculate also the value of the maximum area pentagon



jb

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