Use Newton's method to approximate the indicated root of the
equation correct to six decimal places.
The root of x4 − 2x3 + 4x2 − 8
= 0 in the interval [1, 2]
x = ?
Let . If we use Accelerated Newton-Raphson method to approximate
the root of the equation , which of the following(s) is/are
ture:
(I) is multiple root of order
(II) Accelerated Newton-Raphson formula is :
(III) The sequence obtained by the Accelerated
Newton-Raphson method converge to the
root quadratically.
How could a root finding algorithm like the bisection method be
used to approximate a value such as sqrt(3). In other words how can
a root finding algorithm find an x value with a given y value?
Write a script to illustrate this usage scenario. Compare the
output of your script with the result from a calculator. You must
use matlab!! using a while loop.
Use the finite difference method and the indicated value of
n to approximate the solution of the given boundary-value
problem. (Round your answers to four decimal places.)
x2y'' +
3xy' + 5y =
0, y(1) =
6, y(2) =
0; n = 8
x
y
1.000
?
1.125
?
1.250
?
1.375
?
1.500
?
1.625
?
1.750
?
1.875
?
2.000
?