Compute and print out a table of the function Y= 1/(4 - X²) in the range 0

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Compute and print out a table of the function Y = 1/(4 – x?)
in the range 0 <X<2 using a variable step interval. Start out
with a step width of 0.1 (i.e. X = 0,0.1, 0.2.1.9). Reduce the
step width by a factor of 10 whenever X would reach 2
during next iteration, or whenever two successive values
differ by more than 10. Stop the tabulation when Y reaches
100.
Details of printout: The x and Y values are to be
printed in two parallel columns, in the 2nd and 4th field.
Headings are to be printed as shown below. An extra blank
line is to be inserted whenever the step interval is changed.
FUNCTION TABLE OF F (X) = 1/(4 -X**2)
2 blank lines - {
VALUE OF X
VALUE OF F(X)
2 blank lines {
0•00000E + 00
2-50000E – 01
Transcribed Image Text:Compute and print out a table of the function Y = 1/(4 – x?) in the range 0 <X<2 using a variable step interval. Start out with a step width of 0.1 (i.e. X = 0,0.1, 0.2.1.9). Reduce the step width by a factor of 10 whenever X would reach 2 during next iteration, or whenever two successive values differ by more than 10. Stop the tabulation when Y reaches 100. Details of printout: The x and Y values are to be printed in two parallel columns, in the 2nd and 4th field. Headings are to be printed as shown below. An extra blank line is to be inserted whenever the step interval is changed. FUNCTION TABLE OF F (X) = 1/(4 -X**2) 2 blank lines - { VALUE OF X VALUE OF F(X) 2 blank lines { 0•00000E + 00 2-50000E – 01
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