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Math
calculate the third degree Taylor polynomial about x0=0 for f(x)= (1+x)^1/2
from the following table, find the number of students who obtained less than 45 marks.
Marks No. of Students
30-40 31
40-50 42
50-60 51
60-70 35
70-80 31
Marks No. of Students
30-40 31
40-50 42
50-60 51
60-70 35
70-80 31
Math
find the minimum number of intervals required to evaluate integration 0 to 1 e^-xdx with an accuracy of 1/2 X 10^-4, by using the trapezoidal rule.
Math
the solution of the system of equations (1 2, 2 1) (x, y) = (4, -2) is attempted by the Gauss Jacobi and Gauss Seidel iteration schemes. Set up the two schemes in matrix form. Will the iteration schemes converge? Justify your answer.
Using Stokes’ Theorem evaluate the line integral ∫ F.dl where F = < y, xz^3, -zy^3 >
and C is a circle x^2 + y^2 = 4, in the plane z = − 3 ?
and C is a circle x^2 + y^2 = 4, in the plane z = − 3 ?
A company analyses its profits for four consecutive years, from 2007 – 2010. The profit made in 2007 was twice that in 2009. The profit made in 2008 was R 14 million more than the profit made in 2009, while the profit made in 2010 was R 4 million less than the profit made in 2007. If the total profit made in these four years was R 58 million, determine the profit made in each year. (
Identifying the differential equation and solve them
y=xy' + 1 - lny'
y=xy' + 1 - lny'
obtain the fourier series expansion for the gollowing periodic function which has a period of
Math
Write down only one application of Runge Kutta Method to solve some real world problem.
Math
Write down Runge Kutta Fehlberg Method(Error Control)
