LBS290F                                                     Spring 1992

                        ASSIGNMENT 6 - Looking for Roots

Due Date: April 15, 1992 11:59PM

Write a program which will evaluate the function

           3         2
      Y = X  - 0.15 X  - 2.8449 X  + 0.704975

and find the approximate root of the function for the following
ranges of the function using an increment of 0.1

    -3 <= X <= 0.0
    0.0 <= X <= 5.0
    5.0 <= X <= 10.0

When you find the root of the function print it out.  If no root
is found in the range, print the following message:

   No root found between 4.0 and 12.0

The pseudo code for an algorithm to find a root of the function

           2
      Y = X   -  4

between -6.0 <= X <= 6.0 using an increment of 0.1 is as follows:


   X = -6.0
   START = (X ** 2) - 4
   FOUND = 0
   WHILE(X < 6.0 and FOUND = 0 ) 
     NEW = (X ** 2) - 4
     IF ( NEW*START <= 0 ) THEN
       FOUND = 1
     ELSE
       X = X + 0.1
   ENDWHILE
   IF ( FOUND = 1 ) THEN
     PRINT 'Root is ',X
   ELSE
     PRINT 'No root found'
   ENDIF

Example execution:

   $ a.out
   Scanning from    -3.00 to     0.00 by      .10
   Root=   -1.7000
   Scanning from     0.00 to     5.00 by      .10
   Root=     .3000
   Scanning from     5.00 to    10.00 by      .01
   No root found
   $

Your output may look slightly different.