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For The Mathematically Inclined

Anil Saigal
07/12/2006

FOR CHILDREN

PROBLEM # 1
Simplify   (6x^-1)^2  / (3^-3 x^2)^-1

FOR GROWNUPS

PROBLEM # 2
Determine the equation of the line tangent to the curve
y = cos(sqrtx) at x = (pi/4)^2.

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Please send your solutions to anil@lokvani.com.

Use Problem Solutions M-071306 as the subject line. Please include your full name in the text of the main message. Everyone with the right answer will be acknowledged in the next issue of Lokvani.

Please do not post your solution in Post Comments. No credit will be given for solutions not sent to anil@lokvani.com.

If you need clarification on any problem, please contact anil@lokvani.com.

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SOLUTIONS TO PROBLEMS ON 06/29/06

FOR CHILDREN

PROBLEM # 1
Glenn and Jason each have a collection of cricket balls. Glenn said that if Jason would give him 2 of his balls they would have an equal number; but, if Glenn would give Jason 2 of his balls, Jason would have 2 times as many balls as Glenn. How many balls does Jason have?

SOLUTION
Jason - 14, Glenn - 10.

FOR GROWNUPS

PROBLEM # 2
A kite flies at a constant altitude of 400 feet. The kite is being blown horizontally at a rate of 10 feet/second away from the person holding the string at ground level. At what rate is the string being payed out when  500 feet of string is already out?

SOLUTION
6.06 feet/second. 

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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