For The Mathematically Inclined


Anil Saigal 07/25/2006
FOR CHILDREN
PROBLEM # 1 Each child in a family has at least 3 brothers and 4 sisters. What is the smallest number of children the family might have?
FOR GROWNUPS
PROBLEM # 2 For 0<x<360 degrees, solve:
2 Tan(x) / (1 + (Tan(x))^2) = sqrt(3) / 2

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If you need clarification on any problem, please contact anil@lokvani.com.
 SOLUTIONS TO PROBLEMS ON 07/13/06
FOR CHILDREN
PROBLEM # 1 Simplify (6x^1)^2 / (3^3 x^2)^1 SOLUTION 4/3.
FOR GROWNUPS
PROBLEM # 2 Determine the equation of the line tangent to the curve y = cos(sqrtx) at x = (pi/4)^2. SOLUTION y = (sqrt(2)/pi)*x + sqrt(2)/2 + pi*sqrt(2)/16. Congratulations to Sandeep
Bansal, Ryan Bhattacharya, Sitaram Chandawarkar, Somnath Chattopadhyay,
Raghuram Manickam, Suryateja Rao, Arun Saigal and Gaurang Vaishnav, who were winners of the last set of puzzles.

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