MTH603 Assignment 2
Question: 1
Using Lagrange’s interpolation formula, find the value of cos(π/6) using the following table. Also estimate the error in the solution.
x | 0 | π/4 | π/2 |
y=cos x | 1 | 0.7071 | 0 |
Question: 2
Estimate d/dx(2.3) and d/dx(1.3), using the following table.
x | 1.3 | 1.5 | 1.7 | 1.9 | 2.1 | 2.3 |
y | 3.753 | 3.523 | 3.333 | 1.9922 | 1.5442 | 1.2969 |
