(0.1, 1.45), (0.2, 2.20), (0.4, 3.76) and (0.5, 432) datas are given. P(0) is approximated using Neville's Method as an approximation of (0). So compute the sum Q3.7+Q2.2+P(0). (Use 5 digs rounding arithmetic)A.4.2569B.4.4232C.4.1509D.4.0534

Question

(0.1, 1.45), (0.2, 2.20), (0.4, 3.76) and (0.5, 432) datas are given. P(0) is approximated using Neville&#039;s Method as an approximation of (0). So compute the sum Q3.7+Q2.2+P(0). (Use 5 digs rounding arithmetic)A.4.2569B.4.4232C.4.1509D.4.0534

Mike Henson · Accepted Answer

Given data,  The table of the data is,  xf(x)−0.11.450.22.200.43.760.54.32  Step 1  The Q notation table is,  x0p0=Q0.0x1p1=Q1.0p1.1=Q1.1x2p2Q2.0p1.2=Q2.1p0.1.2=Q2.2x33.76p2.3=Q3.1p1.2.3Q3.2x44.32p3.4=Q4.1p2.3.4  Step 2  Calculating the first degree approximation,   Q3.1=(x−x2)Q3.0−(x−x3)Q2.0x3−x2  =(0−0.4)⋅4.32−(0−0.5)⋅3.760.5−0.4  =−0.4⋅4.32+0.5⋅3.760.1  =1.52  Q2.2=(x−x1)Q2.1−(x−x2)Q1.1x2−x1  =(0−0.2)⋅0.64−(0−0.4)⋅1.70.4−0.2  =−0.2⋅0.64+0.4⋅1.70.2  =2.76  Step 3  The value of f (0) is 0.1432.  The sum of Q3.1+Q2.2+P(O)is,  Q3.1Q2.2+P(O)=1.52+2.76+0.1432  =4.4232  Hence option Bis correct.

(0.1, 1.45), (0.2, 2.20), (0.4, 3.76) and (0.5, 432) datas are given. P(0) is approximated...

Answered question

Answer & Explanation