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| For The Mathematically Inclined |
Anil Saigal
09/01/2008
FOR STUDENTS
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} |
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Problem Solutions 08/21/08PROBLEM # 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.
Solution:
FOR GROWNUPS
Find the sum of the series
S = cos3x −1/3 cos33x + 1/32 cos3 32x −1/33 cos3 33x + .....
Solution:
Tough one ... 3*Cos(x)/4.
Congratulations to Siddharth Annaldasula, Vishnu Chavva, Dhruv Ramanujan, Mukund Seshadari, Muneeba Syed and Niharika Yerneni, who were winners of the last set of puzzles.
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