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Aim
Theory
Pretest
Procedure
Simulation
Posttest
References
Contributors
Feedback
False Position Method
Choose difficulty:
Beginner
Intermediate
Advanced
Initial guess
x
1
=
0
a
n
d
x
2
=
1
\text{Initial guess} \quad x1 = 0 \quad and \quad x2 = 1
Initial guess
x
1
=
0
an
d
x
2
=
1
x
3
=
x
1
−
f
(
x
1
)
×
(
(
x
2
−
x
1
)
(
f
(
x
2
)
−
f
(
x
1
)
)
)
x3 = x1 - f(x1) × \left(\frac{(x2 - x1)}{(f(x2) - f(x1))}\right)
x
3
=
x
1
−
f
(
x
1
)
×
(
(
f
(
x
2
)
−
f
(
x
1
))
(
x
2
−
x
1
)
)
equation
=
c
o
s
(
x
)
−
x
×
e
x
p
(
x
)
\text{equation } = cos(x)-x × exp(x)
equation
=
cos
(
x
)
−
x
×
e
x
p
(
x
)
What is function value of 6th iteration using false position method?
\text{What is function value of 6th iteration using false position method?}
What is function value of 6th iteration using false position method?
a: 0.00603
Explanation
Explanation
b: 0.00583
Explanation
Explanation
c: 0.00361
Explanation
Explanation
d: 0.00254
Explanation
Explanation
Initial guess
x
1
=
0
a
n
d
x
2
=
1
\text{Initial guess} \quad x1 = 0 \quad and \quad x2 = 1
Initial guess
x
1
=
0
an
d
x
2
=
1
x
3
=
x
1
−
f
(
x
1
)
×
(
(
x
2
−
x
1
)
(
f
(
x
2
)
−
f
(
x
1
)
)
)
x3 = x1 - f(x1) × \left(\frac{(x2 - x1)}{(f(x2) - f(x1))}\right)
x
3
=
x
1
−
f
(
x
1
)
×
(
(
f
(
x
2
)
−
f
(
x
1
))
(
x
2
−
x
1
)
)
equation
=
c
o
s
(
x
)
−
x
×
e
x
p
(
x
)
\text{equation } = cos(x)-x × exp(x)
equation
=
cos
(
x
)
−
x
×
e
x
p
(
x
)
What is root value of 6th iteration using false position method?
\text{What is root value of 6th iteration using false position method?}
What is root value of 6th iteration using false position method?
a: 0.51775
Explanation
Explanation
b: 0.51667
Explanation
Explanation
c: 0.51692
Explanation
Explanation
d: 0.51773
Explanation
Explanation
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