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For The Mathematically Inclined

Anil Saigal
05/25/2008

FOR STUDENTS

PROBLEM # 1
The red circle must roll around the 7 circles.   How many full revolutions will it make?

FOR GROWNUPS 

PROBLEM # 2
 
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.

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If you need clarification on any problem, please contact anil@lokvani.com.

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Problem Solutions 05/15/08

PROBLEM # 1
Solve the equation: |-2x + 2| -3 = -3

Solution: 
1.

FOR
GROWNUPS 
Let f(x) = 5x4. + 2. Determine c such that f(c) is the average value of f on [–1, 2].

Solution: 
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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1.Previous message. May 30, 2008msk 
2.Problem Solutions 05/15/08 May 30, 2008msk 

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Problem 1

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