WorksheetsUnit 1
Total questions: 20
Worksheet time: 10mins
As per Descartes’ Rule of signs, the maximum no. of _____ are equal to no. of change of signs in f(-x).
Roots
Positive roots
Negative roots.
Total roots.
Which of the following is the correct formula for Brige – vieta method ?
Pk+1 = Pk-(bn/Cn-1)
Pk+1 = Pk+(bn/Cn-1)
Pk+1 = Pk-(bk/Ck-1)
Pk+1 = Pk+(bk/Ck-1)
For normalized floating point number the mantissa is _____.
<1
<=1
>1
<0
Which of the following is true for normalized floating point number?
0.1≤ mantissa < 1
0.1< mantissa < 1
0.1≤ mantissa ≤ 1
0.1< mantissa ≤ 1
Number of significant numbers in 0.0028900
7
5
3
8
Number of significant numbers in 1599.00
4
6
5
None
If p1 and p0 are second initial approximation of root of cubic equation f(x) = 0, then
p2=p1+b4/c3
p2=p1-b4/c3
p2=p1+c3/b4
p2=p1-c3/b4
How many positive roots are there in f(x)= 3x7-2x5+3x3 -5 polynomial?
2
6
3
4
What will be the alternate representation of X=24.389 x 102?
2.4389 x 101
0.24389 x 10-4
0.24389 x 104
2.4389 x 10-1
Two floating point numbers 0.3879 E7 & 0.813 E7 are added. What will be the result?
1.2009 E14
1.2009 E7
0.12009 E8
0.12009 E14
After the subtraction of two floating point numbers 583.1863 E20 & 78.1617 E19, the answer will be ____.
661.3534 E39
0.57536959 E23
591.00301 E40
5910.0301 E19
True value =1 x 10^6, approximate value =0.99 x 10^6 . Then relative error will be _____.
0.01
-0.01
0.01 x 10^6
0.01 x 10^-6
Round off the number 865250 to four significant figures and compute Ea, Er, Ep .
Ea=50, Er=5.77 x 10-6, Ep=5.779 x 10-3
Ea=250, Er=5.77 x 10-5, Ep=5.779 x 10-3
Ea=50, Er=5.77 x 10-5, Ep=5.779 x 10-3
Ea=250, Er=5.77 x 10-5, Ep=5.779 x 10-3
If f(4) f(5) > 0 then given equation f(x) =0 has _____real root in (4,5)
exactly one
atleast one
no
at most one
If nth order of polynomial f(x) = 0 is divided by a (x- p) using synthetic division and p is exact root of equation, then bn is given by
infinite
zero
1
None of these
In Birge-Vieta method, Cn-1 is given by _______ in which p is initial approximation
dR/dp
dbn/dp
dCn/dp
bn
If a polynomial equation is to be solved with Birge-Vieta method with initial value p, then bn represents
f ‘(p)
f'”(p)
f(p)
0
If a polynomial equation is to be solved with Birge-Vieta method with initial value p, then Cn-1 represents
f ‘(p)
f'”(p)
f(p)
R
For equation x^3 + 29x^2- 97=0, nth order derivative at x = 2 is _________(use synthetic division)
6
-6
12
1
For equation x^3 + 29x^2- 97=0, 2nd order derivative at x = 2 is _________(use synthetic division)
27
128
35
70
