5. Consider the problem y = h(21, X2) = X182 of multiplying two nonzero real numbers. On a computer the algorithm for approximating the product is yA = hA(x1, x2) = f(x1) o f1(x2), where O is the inexact floating point multiplication. Show that the algorithm is backwards stable. That is, show hA(x1, x2) = h(x1 + 0x1, x2 + 8x2), where 18x1/21] = 0 ( mach) and 18x2/x2] = O(Emach). Is the perturbation of the inputs unique? 5. Consider the problem y = h(21, X2) = X182 of multiplying two nonzero real numbers. On a computer the algorithm for approximating the product is yA = hA(x1, x2) = f(x1) o f1(x2), where O is the inexact floating point multiplication. Show that the algorithm is backwards stable. That is, show hA(x1, x2) = h(x1 + 0x1, x2 + 8x2), where 18x1/21] = 0 ( mach) and 18x2/x2] = O(Emach). Is the perturbation of the inputs unique