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| For The Mathematically Inclined |
Anil Saigal
05/25/2008
FOR STUDENTS PROBLEM # 1 FOR GROWNUPS PROBLEM # 2 Please send your solutions to anil@lokvani.com. ------------------------------------------------------------------------------------------------------------- Solution: Solution:
The red circle must roll around the 7 circles. How many full revolutions will it make?
Calculate the volume of the solid over the square R = {(x,y)|-1<=x<=1,-1<=y<=1} bounded above by the graph of f(x,y)=8-x^2-y^2 and below by the xy-plane. Round your answer to the hundredths.
Use Problem Solutions M-052908 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.
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PROBLEM # 1
Solve the equation: |-2x + 2| -3 = -3
1.
FOR GROWNUPS
Let f(x) = 5x4. + 2. Determine c such that f(c) is the average value of f on [–1, 2].
c = fourth root of 11/5.
Congratulations to Aseem Chandawarkar, Prabhakar Nadkarni, Dayton Nandy, Ranganath Nayak, Muneeba Syed and Niharika Yerneni, who were winners of the last set of puzzles.
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Problem 1