The following table is obtained from the function f=1-x+x³ ↑ X 0.0 f 1.0 0.1 0.9010 0.4 0.2 0.8080 0.3 0.7270 0.6640 0.5 0.6250 0.6 0.6160 0.6430 0.7 0.8 0.7120 a. Find f (0.38), using second-degree Lagrange Interpolating polynomial. Find the actual error and estimated minimum and maximum errors. b. Find f (0.38) using 2nd degree Newton Polynomial. Set difference table using relevant points. up divided c. Find f' (0.4), Use central difference and Richardson's extrapolation to find answer with an error &=0(0.16). (Do not find the error)
The following table is obtained from the function f=1-x+x³ ↑ X 0.0 f 1.0 0.1 0.9010 0.4 0.2 0.8080 0.3 0.7270 0.6640 0.5 0.6250 0.6 0.6160 0.6430 0.7 0.8 0.7120 a. Find f (0.38), using second-degree Lagrange Interpolating polynomial. Find the actual error and estimated minimum and maximum errors. b. Find f (0.38) using 2nd degree Newton Polynomial. Set difference table using relevant points. up divided c. Find f' (0.4), Use central difference and Richardson's extrapolation to find answer with an error &=0(0.16). (Do not find the error)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 92E
Related questions
Question
Transcribed Image Text:%)
6)
The following table is obtained from the function f=1-x+x³
↑
X
0.0
f
1.0
0.1
0.9010
0.2
0.8080
0.3
0.7270
0.4
0.6640
0.5
0.6250
0.6
0.6430
0.6160
0.7
0.8
0.7120
a. Find f (0.38), using second-degree Lagrange Interpolating polynomial.
Find the actual error and estimated minimum and maximum errors.
b. Find f (0.38) using 2nd degree Newton Polynomial. Set up divided
difference table using relevant points.
c. Find f' (0.4), Use central difference and Richardson's extrapolation to
find answer with an error &=0(0.16). (Do not find the error)
0.8
d. Find f(x)dx; Use Composite Trapezoidal rule. Find the actual,
0.0
minimum, and maximum errors.
0.8
e. Find f(x)dx. Use Simpson's 1/3 rule.
0.0
00+
5
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 6 steps with 5 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt