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| For The Mathematically Inclined |
Anil Saigal
05/09/2008
FOR STUDENTS PROBLEM # 1 FOR GROWNUPS PROBLEM # 2 Please send your solutions to anil@lokvani.com. ------------------------------------------------------------------------------------------------------------- Solution: Solution:
Solve the equation: |-2x + 2| -3 = -3
Let f(x) = 5x4. + 2. Determine c such that f(c) is the average value of f on [–1, 2].
Use Problem Solutions M-051508
as the subject line. Please include your full name in the text of the
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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
Rama's father is 3 times old as Rama. 4 years ago, he was 4 times older. How old is Rama?
12 years.
FOR GROWNUPS
Let f(x; y) = xy, let a = (1; 2), and let v = (2; 3).
Find the rate of growth of f at a in a unit vector direction parallel to v.
7/sqrt(13).
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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