Question

please show hand calculations for the following using proper roundoff. x=pi/3 . ea < .005. I found a possible table to help. Thanks

PUISIve Handwork problem: (hand calculations using calculator, submit in class) HW 1_1 problem 4.11 Correction: cos(x) = 3x2" Follow a tabular form like the one in Example 4.1 in your book.

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Answer 1

Sola :- x= ale Terue erroge (ET) = | Gract Value - Approve. Value (os(7/3) s 0.5 Approximate Erros (Ea) = . (True Values / Present Approx. - Previous Approx- Iteration (1) n o coske). = = (1/3) = 1 F = 0.5-1 = -0.5 EUR Iteration (2) n=d, cos(x) = x-x² :=) ( (t)) = 1 - (8/2) = (017) = 0.45169 Et = 0.5 -0.45169 = 0.048.3) Eq= 0.45169 - ] = -0.54831 Iteration (3) nudi jos (x) = 1 + xy Cos(1l) = 1 - (7/2)* + (yle) » Cas (%) = 0.50187 Et = Ea= 0.5 -0.5018 = -0.0018 0.5018 -0.45169 = 0.05011

Iteration (4) n=3, (os () = 1 - - (as 1 26) = 1 - Jala). + 18A]" + tedy | Cos (0/3) = 0.499967 Et c.0.5 -0.49996 = 0.00004 Eq = 0.49996 – 0.5018 = -0.00184 Iteration (5) 134., (5(x) = 1 (6976) = 6 - Feb - ceny nem felel + colaj (83 19/3) = 0.5 ft - 0.5 -0.5 -0 . Ea = 0.5 -0.49996 = 0.00004 Ea 20.005 Stian