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10/10

A system of linear equations is said to be inconsistent if it has ________
No solution

The study of interpolation is based on the calculus of
Finite differences

Apply Gauss-Seidel iteration method to obtain the first iteration of the equations 4x+y-2z=17, 3x+5y-z=-18, 2x-3y+6z=25
4.25, -6.15, -0.325

Numerical scheme for interpolating values of y near the beginning of a set of tabulated values is called?
Newton’s forward interpolation

Which of the following theorems of calculus is not needed in numerical method
Newton’s meal value theorem

Evaluate the differences ∇3[a2x2+a1x+a0]
0

Given that forward differences is described by ∆pyr=∆p-1yr+1-∆p-1yr , obtain ∆2y0
y2-2y1+y0

Define the finite scheme ∇2fk
fk-2fk-1+fk-2

Given yx=0.23967, 0.28060, 0.31788, 0.35209, 0.38368, evaluate ∆4yx
-0.0013

_______ is the technique of estimating the value of a function for any intermediate value of the independent variable
Interpolation