MathDB

1

Part of 2010 Stanford Mathematics Tournament

Problems(3)

SMT 2010 Algebra Problem 1

Source:

7/27/2011
Compute 1+1+1+1+1+1+⋯\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+\cdots}}}}}}
quadraticsalgebraquadratic formula
SMT 2010 General #1

Source:

2/11/2012
Given 88 coins, at most one of them is counterfeit. A counterfeit coin is lighter than a real coin. You have a free weight balance. What is the minimum number of weighings necessary to determine the identity of the counterfeit coin if it exists
SMT 2010 Geometry #1

Source:

2/11/2012
Find the reflection of the point (11,16,22)(11, 16, 22) across the plane 3x+4y+5z=73x+4y+5z=7.
geometrygeometric transformationreflection