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For The Mathematically Inclined

Anil Saigal
10/30/2007

FOR CHILDREN

PROBLEM # 1
On my walk to school, I travelled at three different speeds: for the first mile, I traveled at 6 mph; for the second mile I traveled at 2 mph; and for the final mile, I traveled at 3 mph. What was my average speed for the entire trip.

FOR GROWNUPS 

PROBLEM # 2
Given cos(x) + cos(y) + cos(z) = sin(x) + sin)y) + sin(z), find the numerical value of cos(x-y) + cos(y-z) + cos(z-x).

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Please send your solutions to anil@lokvani.com.

Use Problem Solutions M-110107 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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Problem Solutions 10/18/07

PROBLEM # 1
If you expand (a + b)^4, what is the coefficient of a^2 b^2?

Solution:
6.
 

FOR GROWNUPS 

PROBLEM # 2Find the equation of a plane through P(5,1,4) and parallel to the plane with equation x + y -2z = 0.

Solution: 
x+y-2z-2=0


Congratulations to 
Aseem Chandawarkar and Mukund Seshadri, who were winners of the last set of puzzles.





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