Y2 Chapter 10 - Numerical Methods

Chapter 10 -




Numerical
Methods




Year2

, ShillOne
Locating Roots of
numerat
-




methods
-




show that f(m) 24+ =
2x-3 has a root
between
ox 0.5
= and x 0.6
=




y f(x)
M =




-j 8
>
0.6
...




hist (g(90.0) 5) 0.351
=




is
-
- -




0.022
=




needed for
the there isa change in and
sign
exam
7




①
D in
singen f(u) iscontinuous, so root
must
his
② Grach
innoce between
- 0.5 and 0.6.

, Proving solution to a
given StaltTwo
-




farmericwith
al
a




accusing




g(x) ea +x 6 Show x 2.307
=
-
=




of g(x)
Root 0 a
=


is




Lower Bound 2.3065
=




Bound
Upper 2 3075
=
-




f(2-30657 =
-

0.000275


f(2-3025) 0.00442
=




Change sign,
in
$(u) is

continuous... a 2.307
=
to 3dp.