NOTE: Algebraic expressions follow FORTRAN Conventions Use ful1 calculator preci

Question

NOTE: Algebraic expressions follow FORTRAN Conventions Use ful1 calculator precision for intermediate values Complete the following divided difference table f(x) DIVIDED DIFFERENCES 1.84 -42 81.1881 2.05 2.93 3.91 48 37.5454 1.41741 49 2 4.58827 52.8488 29.9644 5.17 17 interpolating at x=2.49 using a polynomial that fits the first 3 data points starting at the top of the above table gives the interpolated value of f(2.49)5 using a polynomial that fits the first 4 data points gives the interpolated value: f(2.49)- WER SECTION: SELECTIONS FOR BLANK NUMBER1 a) 8.91889 .672727 18.2273 7.14286 17.5273 SELECTIONS FOR BLANK NUMBER 2 46.9712 -70.7592 -68.3482 -47.3775 33.4775 SELECTIONS FOR BLANK NUMBER3 20.3339 61.8599 31.93359 114.459 89.4184 SELECTIONS FOR BLANK NUMBER 4 3.37937 20.8794 .479365 15.8794 18.8119 SELECTIONS FOR BLANK NUMBER5 60.2688 30.5688 51.7688 51.3789 64.4688 SELECTIONS FOR BLANK NUMBER6 53.1967 61.97859 55.5799 51.3789 59.8709

Explanation / Answer

FOR BLANK 1 : 8.81089

FOR BLANK 2 : -70.7592

FOR BLANK 3 : 31.9339

FOR BLANK 4 : 18.8119

FOR BLANK 5 :51.7688

FOR BLANK 6 : 51.3709

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