000RM.dvi
906 Maxima and minima without calculus 6.The volume of a cylindrical can is given byV = πr^2 l and the surface area byA =2πr(l+r ...
907 8.Find the largest cylinder contained in a sphere of radiusR. r R h ...
908 Maxima and minima without calculus 9.Find the largest right circular cone contained in a sphere of radius R. r R h ...
909 10.Two corridors of widthsaandbmeet at a right-angled corner. What is the length of the longest ladder which may be carried ...
910 Maxima and minima without calculus ...
Chapter 34 A British test of teachers’ mathematical background Samples from a test on the mathematical background of (British) t ...
912 A British test of teachers’ mathematical background 3.“Thecondition for aquadrilateralto becyclicis that the opposite angles ...
913 6.It has been proved that an infinite number of triangles possess a propertyQ. StatementS: All triangles possess propertyQ. ...
914 A British test of teachers’ mathematical background 8.An algebraic problem involvesa,b,c, and we have to write the sum of th ...
Chapter 35 A mathematical contest 2001 Canadian Invitational Mathematics Challenge^1 1 Thirty years ago, the ages of Xaviere, Yo ...
916 A mathematical contest 2 Solve the system of equations x+y+z=2, x^2 −y^2 +z^2 =2, x− 3 y^2 +z=0. ...
917 3(a) A flat mirror is perpendicular to thexy-plane and stands on the liney=x+4. A laser beam from the origin strikes the mir ...
918 A mathematical contest 4 Determine all pairs of nonnegative integers(m, n)which are solu- tions to the equation3(2m)+1=n^2. ...
Chapter 36 Some geometry problems from recent journals 1 Crux Mathematicorum Jim Totten Department of Mathematics and Statistics ...
920 Some geometry problems from recent journals Crux 2813, proposed by Barry Monson, University of New Brunswick, Fredericton, N ...
921 Crux 2822, proposed by Peter Woo, Biola University, La Mirada, CA Suppose thatΠis a parallelogram with sides of lengths 2 aa ...
922 Some geometry problems from recent journals Crux 2823, proposed by Christopher J. Bradley, Clifton COllege, Britol, UK Suppo ...
923 Crux 2830, proposed by D. J. Smeenk, Zaltbommel, the Netherlands Suppose thatΓ(O, R)is the circumcircle of triangleABC. Supp ...
924 Some geometry problems from recent journals Crux 2836, proposed by G. Tsintsifas, Thessaloniki, Greece Suppose that triangle ...
925 Crux 2840, proposed by Juan-Bosco Romero Marquez, University ́ of Valladolid, Valldolid, Spain LetA′be an interior point of ...
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