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ESC 251 HW 32 Due: Nov. 27
- (15 pts) A well known formula is the binomial expansion formula
for the sum of 2 values x and y raised to the power n.
usual binomial coefficient.
Write a F90 function that will compute the right hand side
of Equation (1) above given the values of x, y and n. This
function should make use of the bincoeff function
that your wrote in Homework 31.
Next, write a main program that will evaluate both sides of
Equation (1) and compute the relative error between the two expressions.
- Test your program for
x = 1.3, y = 2.4 and n = 6. What
is the relative error in this case?
- Run your program for
x = 1.0000001, y = -1.0000002 and
n = 20. What is the relative error for this case (use the left hand
side of Equation (1) as the exact answer)? Is the relative
error for this case significantly different than for part a)? If so,