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| For The Mathematically Inclined |
Anil Saigal
05/09/2008
FOR STUDENTS
PROBLEM # 1
Solve the equation: |-2x + 2| -3 = -3
FOR GROWNUPS
PROBLEM # 2
Let f(x) = 5x4. + 2. Determine c such that f(c) is the average value of f on [–1, 2].
Please send your solutions to anil@lokvani.com.
Use Problem Solutions M-051508
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 05/01/08PROBLEM # 1
Rama's father is 3 times old as Rama. 4 years ago, he was 4 times older. How old is Rama?
Solution:
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.
Solution:
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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