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03.04.1
MultipleChoice Test
Chapter 03.04
NewtonRaphson Method
1.
The NewtonRaphson method of finding roots of nonlinear equations falls under the
category of _____________ methods.
(A)
bracketing
(B)
open
(C)
random
(D)
graphical
2.
The NewtonRaphson method formula for finding the square root of a real number
R
from the equation
0
2
=
−
R
x
is,
(A)
2
1
i
i
x
x
=
+
(B)
2
3
1
i
i
x
x
=
+
(C)
+
=
+
i
i
i
x
R
x
x
2
1
1
(D)
−
=
+
i
i
i
x
R
x
x
3
2
1
1
3.
The next iterative value of the root of
0
4
2
=
−
x
using the NewtonRaphson method,
if the initial guess is 3, is
(A)
1.5
(B)
2.067
(C)
2.167
(D)
3.000
4.
The root of the equation
0
)
(
=
x
f
is found by using the NewtonRaphson method.
The initial estimate of the root is
3
0
=
x
,
( )
5
3
=
f
.
The angle the line tangent to the
function
)
(
x
f
makes at
3
=
x
is
°
57 with respect to the
x
axis.
The next estimate of
the root,
1
x
most nearly is
(A)
–3.2470
(B)
−
0.2470
(C)
3.2470
(D)
6.2470
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This note was uploaded on 06/12/2011 for the course EML 3041 taught by Professor Kaw,a during the Spring '08 term at University of South Florida  Tampa.
 Spring '08
 Kaw,A

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