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03.05.1
Multiple-Choice Test
Secant Method
Chapter 03.05
1.
The secant method of finding roots of nonlinear equations falls under the category of
_____________ methods.
(A)
bracketing
(B)
graphical
(C)
open
(D)
random
2.
The secant method formula for finding the square root of a real number
R
from the
equation
0
2
=
−
R
x
is
(A)
1
1
−
−
+
+
i
i
i
i
x
x
R
x
x
(B)
1
1
−
−
+
i
i
i
i
x
x
x
x
(C)
+
i
i
x
R
x
2
1
(D)
1
1
2
2
−
−
+
−
+
i
i
i
i
i
x
x
R
x
x
x
3.
The next iterative value of the root of
0
4
2
=
−
x
using secant method, if the initial
guesses are 3 and 4, is
(A)
2.2857
(B)
2.5000
(C)
5.5000
(D)
5.7143
4.
The root of the equation
( )
0
=
x
f
is found by using the secant method.
Given one of
the initial estimates is
3
0
=
x
,
( )
5
3
=
f
, and the angle the secant line makes with the
x
-axis is
°
57 , the next estimate of the root,
1
x
, is
(A)
–3.2470
(B)
–0.24704
(C)
3.247
(D)
6.2470

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