trait for a total of 8. Since each woman sion as n approaches infinity; when i is 1, this limit is defined as e, the base Perfect
*Beaudet, Paul R.
ra, three traits; A also cannot be rb and rr, for then she would also be ra, three answer is approaching e times 108.
traits. Therefore, A is ra, rb or ra, rr, 4 The distance of the center of the 1-
Barb (B) and Cleo (C) are ri, rr, and one four traits; and A cannot be ra, rr, for possibilities for this: (1) ra, rb, ri; (2) ra, rb, rr; (3) ra, ri, rr; and (4) rb, ri, rr. 4√3. AC = √(62 -22) = 4√2, and BC = √(52 -12) = 2√6. Let d be the center four traits; (3) can be eliminated since AD = √{52 – (H – 4)2}, BD = √{42 – (H – 3)2} , and CD = √{32 – (H – 2)2}. Use also ra, which leaves rb for B, but then B is also ra, so all three are ra. Thus, C must be ra, rb, ri, and B is ri, rr; so 2 An estimated 18.37 percent of the
Yes,” “Answer No,” and “Have You 5 The young girl should release from
Cheated” cards are selected with equal static position. She will land about 8.7 is 784 for each card. Then 928 – 784 = lum, which the swing is, total energy is difficult regular problem was No. 5 about mg(h – h ), plus kinetic energy, mv2/2, the vertical belt sander. However, of the at any point in its arc. Equating kinetic and potential energy gives v2/2 = gh – gh, so v = √[2g(h h)] = √[2gL(cosθ 3 After one year, you will owe the
cal and L is the length of the chains. Reader’s entries for the Fall problems will is (1 + i/n)n, where i is the annual inter- trajectory of a projectile, which are x 1 Cleo is not remarkably rich. There
est rate and n is the number of times = x + v t and 0 = y + v t – gt2/2. Now, v are four “remarkable” traits—artistic = vcosθ and v = vsinθ. Solving for t (the (ra), beautiful (rb), intelligent (ri), and time it takes the girl to hit the ground) gives t = [v + √(v 2 +2gy )]/g. Substi- tuting into the equation for x gives x = x + (vcosθ/g)[(vsinθ + √(v2sin2θ + 2gy )], where x = Lsinθ and y = L(1 1 Find the smallest positive integer
– cosθ) + h . Using trial and error (with L = 6 ft and h = 2 ft) on the swing’s 5 A sparrow, flying horizontally in a
straight line, is 20 m directly below an B onus. The punter should aim at the
—Christopher R. Oliver, AL E ’08
2 Five pirates find a chest contain-
tion is given by p = [1/(σ√(2π))]exp(- θ2/2σ2), where θ is the deviation from hawk is flying at 30 m/s, how fast is the the aim angle, θ and varies from -45o to +45o, and σ = 7.5 is the standard devia- vote, and if half or more of the pirates B onus. A regular dodecahedron has
After all, this is football!) Pick a yard- line aim point y ; then the aim angle gons. If some, including none or all, of is given by θ = tan-1[(50-y )/(80/3)]. by y = 50-(80/3)tan(θ +θ), except that when y is negative (indicating that the ball crossed the goal line), y = 20. The expected value of the yard line for spot- -45o to +45o of pydθ. It is easy to write a C omputer Bonus. A, B, and C are
program that varies y to find the mini- 3 My wife and I recently attended a
use the digits 1 through 9 once and only fies the equation, A x B = C2, and where well. Program the expressions for y and p into the spreadsheet (with y as a variable), and calculate y for unit increases in θ from -45 to 45. (This is sufficiently accurate for this problem.) with various values of y until the mini- Tau Beta Pi, P. O. Box 2697, Knoxville,
TN 37901-2697 or email to BrainTick-
lers@tbp.org only as plain text. The C omputer Bonus. The next two pal-
with 16 digits! This is quite a distance 4 Professor Asterisk treated his
to the judges who are Dr. H.G. McIl-
abcddcba where a can equal 1, 4, 5, 6, vried III, PA G ’53; F. J. Tydeman, CA
or 9 and b, c, and d can equal 0 through Δ ’73; J. L. Bradshaw, PA A ’82; and the
D. A. Dechman, TX A ’57.
6, 8, 10, 12, 14, and, finally, 16-digit in the range of 29 to 39, inclusive. After

Source: http://www.tbp.org/pubs/BTs/W11.pdf


BIJSLUITER Lees deze bijsluiter zorgvuldig heeft gebruikt. Dit geldt ook voor door voordat u start met het gebruik van dit geneesmiddel. Inhoud van deze bijsluiter 1. Wat is Zuurstof medicinaal gas- ZUURSTOF MEDICINAAL GASVORMIG MEDIDIS, inhalatiegas 100% v/v Werkzaam bestanddeel: 2. WAT U MOET WETEN VOOR- DAT U ZUURSTOF MEDICI- Gebruik van medicinale zuu


DIRECTIONS FOR USE Restraints: Do not use less than 14 days before slaughter for human consumption. Do not use in sheep that are producing or may in future produce milk or milk products for human consumption. Precautions and Contraindications: KEEP OUT OF REACH OF CHILDREN Not to be used at the same time as any other selenium treatments such as v accines, drenches and fe

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