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Anil Saigal
09/01/2008
I have $11.60, all dimes and quarters, in my pocket.
I have 32 more dimes than quarters. How many dimes, and how many quarters, do I
have? FOR GROWNUPS PROBLEM #2 A small wedge had the shape of the region Q={(x,y,z)|-1<=x<=1,0<=y<=2,0<=z<=y} Please send your solutions to anil@lokvani.com. ------------------------------------------------------------------------------------------------------------- Solution: Solution: Congratulations to Siddharth Annaldasula, Vishnu Chavva, Dhruv Ramanujan, Mukund Seshadari, Muneeba Syed and Niharika Yerneni, who were winners of the last set of puzzles.
Find its mass if the density at any point (x,y,z) it
gives by the density function
p(x,y,z) = 1 + x2 + y2 gram/cm3 and
the dimensions for Q are in cm.
Give answer in grams to the nearest gram.
Use Problem Solutions M-090408 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.
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PROBLEM # 1
Amrita, Sanjay, and Juhi each ate something different for breakfast. One had toast, one had sausages, and one had a melon for breakfast.
What did each person have for breakfast?
1. Amrita likes to eat either a melon or toast for breakfast.
2. Only Sanjay and Juhi like meat for breakfast.
3. Juhi did not have sausages or toast for breakfast.
FOR GROWNUPS
Find the sum of the series
S = cos3x −1/3 cos33x + 1/32 cos3 32x −1/33 cos3 33x + .....
Tough one ... 3*Cos(x)/4.
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