MTM603 - Numerical Analysis (Quiz No.3)
Juestion # 4 of 10 ( Start time: 08-059 AM,
Quiz Start Time:
07:67 |
yee)
What will be the value of'a! in the given divide
di f ference table?
z
y
tD.D 2IndD.D
3
O04
6
09
0.1667
9
LT
0.2667
a
MTH603
- Numerical Analysis (Quiz No.3)
Question# 5 of 10 ( Start time: 08:03:11 AM, 05 February 2072)
Select the correct option
Quiz Start Timo: 07-57 AM, 06 Fo!
T
MTH603
- Numerical Analysis (Quiz No.3)
Question # 6 of 10 ( Start tirme: 08:04-50 AM, 05 February 2022 )
$olect the correct option
Quit Start Time: 07:57 AM, 05 Feb
Te
MTH603 - Numerical Analysis (Quiz No.3)
tachi
Question # 7 of 10 ( Start time: 08:06:29 AM, 05 February 2022)
ciao
edectneoenscem
Total Marks: |
Differential operator in terms of forward difference operator is given by
1
a?
AF
6A¢ | BS
1
4
A.
At
Ln
Popes tsa"
De=
go+at
3!
MTH603- Numerical Analysis (Quiz No.3)
Quit Start Time: 07:57 AM, 05 February 2022
Question # 9 of 10 ( Start time: 08:09:45 AM, 05 February 7022 )
Total Marks:
——s,
x
Por the given dafa points (2, a}, | (4,7), and (6,9), the sero — order divide
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iN
- lect the correct option
me a
i
ae
7
]
_
A
gall
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/.
will be
‘
PF)
—
——$—<—<
di J ference
|
Math Equations
Relood
MTH603 ~ Numerical Analysis (Quiz No.3)
Quiz Start Time: 07:57 AM, 05 Fe
Question # 10 of 10 ( Start time: O8:1I<10 AM, 05 February 2022)
7
For the given data points (a,ye), (2:1). (22y2), and (za.ys) Pi
Select the correct option
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i
C>
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end
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Question #1 of 10 ( Start time: 06:17:58 PM, 05 February 2022)
|
For the given data points (z0,v0), (x11), (222), and (x3,ys) the second — order divide
dif ference will be given
as
Select the correct option
O
O)
(zor)
\2%e
vlzo|
ey
ram.
‘ss s
_
vy)
c
“Ae
ee
21, 22,23)
ylzo,
For the given datapoints
(4, 1.8), (8, 1.5), and(12,1.0) the divide dif ference
table willbe givens — Yo
cal
li:
O
ul
x
O
\v
OC
me
0.0
fo
xz
¢
006
L
y
IstD.D
4 13 01
= 8-15 0.0062
2 19
=
a
ae
8 a
A
2%ndD.D
0.05
Vg
__b ol
\-4
Fs
{+S
Ll
\
J
4
=
Yo B |=
es
A
2
y IstD.D %ndD.D
4 1.3 0.0062
8 15 O01
12 19
0.05
4
y 1stD.D 2ndD.D
13 O01
15
0.35
0.0062
a,
in Lagrange’s Pian
Oe
OO re
Io omen
VOTE
by a polynomial
of degree
Question # 4 of 10 ( Start time: 06:23:26 PM, 05 February 2022 )
For the given data pints(ena») (rin
Select the correct option
eg
a0) ong (ease) Mie first — onder dheiiledéffaancesstin
pimenins
= “We
=
C)
Total Mar!
=
aie
>
o
ulyo. ti, vo)
"ctl
ff
O
u\zo, 2]
u[zo]
603:Quiz No. 3.verified.solution:2022)jset-11}100%correct solution jj;Maths by Zahfran
For the given data points
(2, 0.3), (4,1), and (6, 1.2) the divide dif ference table will be given as
Select the correct option
~~
pS
=
2
Ss
°
\
a
zx
y
IstD.D
2ndD.D
2
038
or
4
1
0.0625
0.35
6
1.2
IstD.D
2ndD.D
aw&
UU
Oa
\7
ov)
et
& a
oO
Ca
~0.0625
zr
y
I1stD.D 2ndD.D
2 0.3 -0.9825
4 1
6 12
0.35
0.1
I1stD.D
2IndD.D
ae
ua
e)
x
y
2 0.3 —0,e625
re oe
6 1.2
0.35
Question # 6 of 10 ( Start time: 06:25:56 PM, 05 February 2022 )
What will be the value of first order divided atterenef tise
a
Ly
O
O
O
the following date x0 15 y215
ze
Question # 7 of 10 ( Start time: 06:27:49 PM, 05 February 2022)
For the given data points (4, 45), (5, 104), and (6, 190), the first — order divide dif ference
will be
——
—
as
———————————
= —f
O
oh f—
82
i
—
104
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eee
alte
Te
i
tis
Ly,
aa
Question # 8 of 10 ( Start time: 06:29:32 PM, 05 February 2022)
| Given
the following data
x1 25 y) 4 10 Value of Ist orcier diviced ditferenc€ t{2. 6] is
Select the correct option
O
O
wy
“2
6
[wb
Total Marks: |
)
Question # 9 of 10 ( Start time: 06:31:05 PM, 05 February 2022)
TotalN
Given the following data x1 3-7 f(x): 3-6 -2 Which formula is useful in finding the interpolating polynomial?
eel
Select the correct option
©
=p
Newton's backward difference formula
7
X
5
| Lagrange’s interpolation tormula
None ot the givan choices
|
—
e
Newton's forward difference formula
aw
Reload
Math
Equat
Question # 10 of 10 ( Start time: 06:32:08 PM, 05 February 2022 )
Total}
For the given data points
——
O
O
42
4 [xeJod oe) 9° pe
+ |
4
.
6
(108) and (6, 190), the zero — order divide
dif ference will be
to4
Fins
(7O
MTH603 ~ Numerical Anatysis (Quiz No.3)
Quiz Start Time: 07:57 AM, 0S February 2022
Question # lof 10 ( Start time: 07:67:26 AM, 06 February 2022 )
Total Marks: |
t v(x) is approsimated by a polynomial P, (x) of degree n then the error is given by
e(z)=p(z) + P.(z)
{TH603 - Numerical Analysis (Quiz No.3)
Quiz Stort Time: 07-57 AM, O55
uestion # 2 of 10 ( Start time: 07:58:42 AM, 05 February 2022 )
For the given four data poilets, the degree
of Lagrange’s interpolation
pol ynomial could be
x
y
03
0.067
0.7
O:.248
0.9
0.518
1.0
0.6812