[H] The following values are obtained from a certain fifth order polynomial. 9 37 243 1017 3109 7749 16767 32713 58977 Make a forward difference table and identify the values of the following: (a)Af2 (b)A² ƒ4 = (c)A³ f1 = (e)Aª fƒ3 = (fMA³ƒ3 = (g)Aº f2 Okumu claimed that Aº ƒ4 = 0. His claim is

[H] The following values are obtained from a certain fifth order polynomial. 9 37 243 1017 3109 7749 16767 32713 58977 Make a forward difference table and identify the values of the following: (a)Af2 (b)A² ƒ4 = (c)A³ f1 = (e)Aª fƒ3 = (fMA³ƒ3 = (g)Aº f2 Okumu claimed that Aº ƒ4 = 0. His claim is

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

(b) The following list shows some values obtained from a polynomial of degree four for a particular experiment. One value is suspected to have an error. Draw a difference table and identify the erroneous value and its true value. 18, 19, 34, 99, 256, 643, 1314, 2419, 4114 The value with an error is The true value must be
The polynomial that passes through the following x.y data 1822 24 ? 25123 is given by 8.125x-324.75x+ 3237, 18 sXS 24 The corresponding polynomial using divided difference polynomial is given by P(x) = a, + a, (x-15)+a; (x-15)(x-18) The value of a, is most nearly اختر احدى الدجابات not obtainable with the information given 24.000 0.25000 8.1250
Fit a second order polynomial to the following data i 1 2 3 4 6. 0.5 1.0 1.5 2.0 2.5 y 0.25 1.0 2.25 4.0 6.25
Bank of America New Tab eview 3. Which of the following is not factor of f(x) = r' + 4x2 - 25x – 100 ? a. х+5 b. x+4 С. X-5 d. x-6
Q3 Fit a second-order polynomial to the data in the following table. 0.25 0.5 1.2840 1.6487 Xi Yi 0 1 0.75 2.1170 1 2.7183
Interpolate f(2.5) and f(11) in the following table by using an appropriate formula. x 2 4 6 8 10 y 30 40 60 85 120
numeriacl anlysis
e polynomial inoqr 3. Find the domain of 7(x)-JaE4, Express the domain in interval notation, SHOW WORK OR NO 3560 CREDIT Let f(x) = 2x +Sx and g(x)=x-3. Find and simplify the following: 4. c. Domain of (f-gXx) in interval notation a. c. d. Domain of (x) in interval notation rval No 5. Let f(x)=x+7 and g(x)= 4x -2. Find and simplify the following a. (fogXx) (gof)(*) b.
[F] { "I started my farm with one chick and now I am a billionaire!"} Mr Tumbo's wealth (in Kenyan shillings) is governed by the function f(x) = 10 + 2xe2. Find the corresponding values of f(x) for: a = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and use these to draw a forward difference table. From your table: Af3 A² fa A³ f3 Af9
For the following data x: 1, 2, 3, 4, 5 y: 3, 11, 15, 14, 27 Find the 3rd order polynomial that best fits the data set. Oy=0.54x4 +5.4x³-18x² +26x - 10 Oy=1.5x³-13.14x² + 38.36-24 Oy 0.00033x³-13.14x² + 38.36-24 Oy 1.08x3+1.89x²-18x + 10.4
(a) Consider the table below for an arbitrary function y = f(x). 1| 2 3 4| 5 6 7| 8 f(x) 9 37 243 1017 3109 7749 | 16767 32713 58977 i. Draw a forward difference table for above table. Use your table to give the numerical values for: ii. Af2 iii. A²fa iv. Aºfi v. What is the degree of the polynomial from which these values were obtained from? (b) Find the specified higher order forward differences specified with the given en- tries: i. A°yo given that yo = 20, yı = 50, y2 = 90, y3 = 100, y4 = 150, y5 250. 200, y6 ii. A'yo given that yo = 79, yı 218, y6 = 250, y7 = 300. iii. A*y given that yo = 120, y2 150, уз 190, Ул 201, y5 160, y1 400, y6 = 410, y7 = 460, ys = 500. 200, y2 240, y3 = 300, Y4 = 350, y5
7. The function shown is a second-order piecewise polynomial, plot the function yourself: 22 y 20 18 16 14 12 10 8 6 0 1 2 3 4 X 10 5 6 7 8