Answer to Question #55516 in Discrete Mathematics for Joseph

Question

1 The technique of determining an approximate value of f(x) for a non-tabular value of x which lies outside the internal [a, b] is known as............
a. Newton’s second law
b.Newton’s first law
c. Interpolation
d. extapolation

2 The Lagrange’s interpolating polynomial P(x) is given by …………..
a. P(x)=L 0 (x)f 3 +L 1 (x)f 2 +L 2 (x)f 1 +L 3 (x)f 0
b. p(x)=L 1 (x)f 0 +L 2 (x)f 1 +L 3 (x)f 2 +L 4 (x)f 3
c. P(x)=L 0 (x)f 0 +L 1 (x)f 1 +L 2 (x)f 2 +L 3 (x)f 3
d. P(x)=L 0 (x)f 0 +L 1 (x)f 2 +L 2 (x)f 2 +L 3 (x)f 3