(1) Find the condition number. (2) Find the forward error, the backward error, the relative (forward) error, the number of significant digits, and check the bound of condition number, for x = 0.01001, if a 3-digit computer is used. Which formula (algorithm) is unstable? (a) f(x) = (1 – cos x)/ sin x, (6) f(x) = 2 sin?(x/2)/ sin(x) (c) f(x) = tan 2

A particular finite difference formula for the first derivative of a funtion is: f '(xi) = (-f(xi+3) + 9 f(xi+1) - 8 f(xi))/6h where the points xi, xi+1, xi+2, and xi+3 are all equally spaced with step size h. What is the order of the truncation or descretization error?

Find f(f(f(1))) given 2* + 3 if x 5 f(f(f(1)))

Find all values of x for which ∑ (n=0 to ∞) 1/(1+x)^n equals 4