Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > The value of the function f(x) is given at n ...
Start Learning for Free
The value of the function f(x) is given at n distinct values of x and its value is to be interpolated at the point x* using all the n points. The estimate is obtained first by the Lagrange polynomial, denoted by IL, and then by the Newton polynomial, denoted by IN.
Q. Which one of the following statements is correct?
- a)IL is always greater than IN
- b)No definite relation exists between IL and IN.
- c)IL is always less than IN
- d)IL and IN are always equal
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The value of the function f(x) is given at n distinct values of x and ...
Lagrange’s form is more efficient when you have to interpolate several data sets on the same data point.
Newton’s form is more efficient when you have to interpolate data incrementally. So no relationship between both.
Newton’s form is more efficient when you have to interpolate data incrementally. So no relationship between both.
Most Upvoted Answer
The value of the function f(x) is given at n distinct values of x and ...
Explanation:
Hence, option 'B' is the correct answer.
- Both Lagrange polynomial (IL) and Newton polynomial (IN) are used for interpolation of a function f(x) at a point x* using n known values of f(x).
- However, the IL uses the Lagrange basis functions to construct the polynomial, whereas the IN uses divided difference table to construct the polynomial.
- There is no definite relation between the IL and IN as they use different methods for interpolation.
- The accuracy of the interpolation estimate depends on the number of known values of f(x) and the distribution of these values.
- Therefore, the choice of interpolation method depends on the specific problem and the available data.
Hence, option 'B' is the correct answer.
|
Explore Courses for Civil Engineering (CE) exam
|
|
Similar Civil Engineering (CE) Doubts
Top Courses for Civil Engineering (CE)View all
The value of the function f(x) is given at n distinct values of x and its value is to be interpolated at the point x* using all the n points. The estimate is obtained first by the Lagrange polynomial, denoted by IL, and then by the Newton polynomial, denoted by IN.Q.Which one of the following statements is correct?a)IL is always greater than INb)No definite relation exists between IL and IN.c)IL is always less than INd)IL and IN are always equalCorrect answer is option 'B'. Can you explain this answer?
Question Description
The value of the function f(x) is given at n distinct values of x and its value is to be interpolated at the point x* using all the n points. The estimate is obtained first by the Lagrange polynomial, denoted by IL, and then by the Newton polynomial, denoted by IN.Q.Which one of the following statements is correct?a)IL is always greater than INb)No definite relation exists between IL and IN.c)IL is always less than INd)IL and IN are always equalCorrect answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The value of the function f(x) is given at n distinct values of x and its value is to be interpolated at the point x* using all the n points. The estimate is obtained first by the Lagrange polynomial, denoted by IL, and then by the Newton polynomial, denoted by IN.Q.Which one of the following statements is correct?a)IL is always greater than INb)No definite relation exists between IL and IN.c)IL is always less than INd)IL and IN are always equalCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The value of the function f(x) is given at n distinct values of x and its value is to be interpolated at the point x* using all the n points. The estimate is obtained first by the Lagrange polynomial, denoted by IL, and then by the Newton polynomial, denoted by IN.Q.Which one of the following statements is correct?a)IL is always greater than INb)No definite relation exists between IL and IN.c)IL is always less than INd)IL and IN are always equalCorrect answer is option 'B'. Can you explain this answer?.
The value of the function f(x) is given at n distinct values of x and its value is to be interpolated at the point x* using all the n points. The estimate is obtained first by the Lagrange polynomial, denoted by IL, and then by the Newton polynomial, denoted by IN.Q.Which one of the following statements is correct?a)IL is always greater than INb)No definite relation exists between IL and IN.c)IL is always less than INd)IL and IN are always equalCorrect answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The value of the function f(x) is given at n distinct values of x and its value is to be interpolated at the point x* using all the n points. The estimate is obtained first by the Lagrange polynomial, denoted by IL, and then by the Newton polynomial, denoted by IN.Q.Which one of the following statements is correct?a)IL is always greater than INb)No definite relation exists between IL and IN.c)IL is always less than INd)IL and IN are always equalCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The value of the function f(x) is given at n distinct values of x and its value is to be interpolated at the point x* using all the n points. The estimate is obtained first by the Lagrange polynomial, denoted by IL, and then by the Newton polynomial, denoted by IN.Q.Which one of the following statements is correct?a)IL is always greater than INb)No definite relation exists between IL and IN.c)IL is always less than INd)IL and IN are always equalCorrect answer is option 'B'. Can you explain this answer?.
Solutions for The value of the function f(x) is given at n distinct values of x and its value is to be interpolated at the point x* using all the n points. The estimate is obtained first by the Lagrange polynomial, denoted by IL, and then by the Newton polynomial, denoted by IN.Q.Which one of the following statements is correct?a)IL is always greater than INb)No definite relation exists between IL and IN.c)IL is always less than INd)IL and IN are always equalCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of The value of the function f(x) is given at n distinct values of x and its value is to be interpolated at the point x* using all the n points. The estimate is obtained first by the Lagrange polynomial, denoted by IL, and then by the Newton polynomial, denoted by IN.Q.Which one of the following statements is correct?a)IL is always greater than INb)No definite relation exists between IL and IN.c)IL is always less than INd)IL and IN are always equalCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The value of the function f(x) is given at n distinct values of x and its value is to be interpolated at the point x* using all the n points. The estimate is obtained first by the Lagrange polynomial, denoted by IL, and then by the Newton polynomial, denoted by IN.Q.Which one of the following statements is correct?a)IL is always greater than INb)No definite relation exists between IL and IN.c)IL is always less than INd)IL and IN are always equalCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for The value of the function f(x) is given at n distinct values of x and its value is to be interpolated at the point x* using all the n points. The estimate is obtained first by the Lagrange polynomial, denoted by IL, and then by the Newton polynomial, denoted by IN.Q.Which one of the following statements is correct?a)IL is always greater than INb)No definite relation exists between IL and IN.c)IL is always less than INd)IL and IN are always equalCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of The value of the function f(x) is given at n distinct values of x and its value is to be interpolated at the point x* using all the n points. The estimate is obtained first by the Lagrange polynomial, denoted by IL, and then by the Newton polynomial, denoted by IN.Q.Which one of the following statements is correct?a)IL is always greater than INb)No definite relation exists between IL and IN.c)IL is always less than INd)IL and IN are always equalCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The value of the function f(x) is given at n distinct values of x and its value is to be interpolated at the point x* using all the n points. The estimate is obtained first by the Lagrange polynomial, denoted by IL, and then by the Newton polynomial, denoted by IN.Q.Which one of the following statements is correct?a)IL is always greater than INb)No definite relation exists between IL and IN.c)IL is always less than INd)IL and IN are always equalCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
|
|
Explore Courses for Civil Engineering (CE) exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup