1) Round off the correct 4 significant &true value .
75472
2) Use Taylor series expansions with n=0 to 6 to approximate f(x)=cosx. At xi +1= pi/3 on the
Basis of the value of f(x) & its derivaves at xi= pi/4 .Note that this means that
H=pi/3 – pi/4 = pi/12.
3) Given a value of (x)=2.5 with an error of /\(x)=0.01, esmate the resulng error in the
Funcon f(x) = x^2.
4) The inial &final temp of water are recorded by (42.5+_0.2) & (75.3+_0.5) c computer
The rise in temperature with proper error.
5) A rectangular board is measured with a scale having accuracy of 0.2 cm and 18.4 cm resp.
Find the relave error & percentage error of the area calculated.
6) The side of rectangle are 8.2 +_0.2 & 5.7+_0.3.calculate error limit.
7) Find the truncated to the three decimal digits.(x)=0.0054528
8) Use the graphical approach to determine the drag coefficient c needed for a parachust
Of Mass m=68.1 kg to have a velocity of 40m/s aer free falling for me t=10 sec .
Note: The acceleraon due to gravity is 9.81 m/s^2.
9) X log_10^x=1.2
Perform five iteraon current up to three decimal places (Bisecon methods)
10) Find the root of equaon by N . R. method .
3x-cos -1=0
11) Find the root by N .R. method .
X^2 + 4sin x=0
12) Find the root of equaon by using N. R. method
F(X) = cos X =xe^x
13) X log _10 x -1.2 = 0
Find root by using N.R. method.
14) ( X – cosx = 0) up to 6 iteraon by using Bisecon method.
15) The bacteria concentraon in reservoir as c = 4e^-2t + e^-0.1t using N.R . method
Calculate the type required for bacteria concentraon to be 0.5 c = 0.5
