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ESC 251 HW 14 Due: Oct. 5

Remember to indent the bodies of your IF-THEN and looping structures.

1)
(5 pts) Write a MATLAB script that will ask the user to input a series of positive numbers and compute their geometric mean, defined as You should use a while loop to do the input. You can trigger the end of the input by having the user input a negative value.
3)
(5 pts) Suppose that MATLAB did not have the linspace function and you need to generate a vector of n+1 equally spaced points on some interval of the x-axis, [a,b], given the values of a, b and the number of subdivisions, n. There are 2 ways to do this:
      Method 1:
h = (b-a)/n
x(1) = a
for i = 2:n+1
x(i) = x(i-1) + h
end

Method 2:
h = (b-a)/n
for i = 1:n+1
x(i) = a + (i-1)*h
end

Test both methods using the values and n = 123456789. For both cases, compute the relative error in the value of x(n+1) once the loop terminates (this should be equal to b). Recall that relative error is defined as Which method is more accurate (i.e., which method has the smaller relative error)? Explain why the more accurate method has the lower relative error.   Next: About this document ...
2018-10-03