1. Show that in F(10, 4, 0, 4) with rounding (0.1351 +1 23.21) xft 1.543 (0.1351...

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1. Show that in F(10, 4, 0, 4) with rounding (0.1351 +1 23.21) xft 1.543 (0.1351 x fi 1.543) +ft (23.21 xft 1.543) 2. Identify the potential roundoff error problems in the following algorithm for calculating the roots of the quadratic equation ar+bx+c = 0. GIVEN: STEP 1: STEP2: STEP3: OUTPUT: real coefficients a, b, c calculate disc = b - 4ac calculate root1 = (-b+disc)/(2a) calculate root2 = c/(a root1) root1 and root2 . 3. Show that the relative error incurred by using 2 +23 to approximate e - cos x - x is roughly 10-24 for x 5 x 10-8. 1. Show that in F(10, 4, 0, 4) with rounding (0.1351 +1 23.21) xft 1.543 (0.1351 x fi 1.543) +ft (23.21 xft 1.543) 2. Identify the potential roundoff error problems in the following algorithm for calculating the roots of the quadratic equation ar+bx+c = 0. GIVEN: STEP 1: STEP2: STEP3: OUTPUT: real coefficients a, b, c calculate disc = b - 4ac calculate root1 = (-b+disc)/(2a) calculate root2 = c/(a root1) root1 and root2 . 3. Show that the relative error incurred by using 2 +23 to approximate e - cos x - x is roughly 10-24 for x 5 x 10-8.

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1 In the field mathbbF10404 we have 01351fl2321fl1543 0142321154 2335154 36009 However 01351fl1543 f... View the full answer