Take 10 figure logarithm to bases 10 from x = 300 to x = 310 by unit increment. Calculate the first derivative of log10 x when x = 310.
_____ ___ ___ ______ ________.
_________ _________ _______ _________ ______ ________ _________ _____ ___.
____ _________ ____ _____ ___ _______ _____ _____.
_________ ___ ___ _____ ________ _________ ______ ____ ___ ______.
__________ _________ _________ _____ ___ ___ _________ _____ ____.
_______ _____ ____ ______ _________ ________ ________ _____.
- Solved Assignments
- Study Notes
- Guess Papers
- Question Papers
✓ Unlock up to 60% of the answer
✓ No payment required
The equation x2 + ax + b = 0 has two real roots p and q such that | p | < | q |. If we use the fixed point iteration , to find a root then to which root does it converge?
Compute the values of
by using the trapezoidal rule with h = 0.5, 0.25, 0.125 . Improve this value by using the Romberg’s method. Compare your result with the true value.
Calculate the third-degree Taylor polynomial about x0 = 0 for f(x) = (1 +x)1/2.
Use the polynomial in part (i) to approximate and find a bound for the error involved.
Use modified Euler’s method to find the approximate solution of IVP
y' = 2xy, y(1) = 1 at x = 1.5 with h = 0.1
If the exact solution is y(x) = ex2-1, find the error.
Find the inverse of the matrix
using Gauss Jordan method.
Solve the system of equations
0.6x + 0.8y + 0.1z = 1
1.1x + 0.4y + 0.3z = 0.2
x + y + 2z = 0.5
by LU decomposition method and find the inverse of the coefficient matrix