IGNOU MTM MTM 10 Tourism Impacts Solved Assignment ENGLISH
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MTM 10: Tourism Impacts
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| Title Name | IGNOU MTM MTM 10 Tourism Impacts Solved Assignment ENGLISH |
|---|---|
| Type | Soft Copy (E-Assignment) .pdf |
| University | IGNOU |
| Degree | MASTER DEGREE PROGRAMMES |
| Course Code | MTM |
| Course Name | Master of Arts in Tourism Management |
| Subject Code | MTM 10 |
| Subject Name | Tourism Impacts |
| Year | 2025 |
| Session | - |
| Language | ENGLISH |
| Assignment Code | MTM 10/Assignment-1/2025 |
| Product Description | Assignment of MTM (Master of Arts in Tourism Management) 2025. Latest MTM 010 2025 Solved Assignment Solutions |
| Format | Ready-to-Print PDF (.soft copy) |
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MTE 10 (January 2025 - July 2025) - ENGLISH
Assignment
Course Code: MTE-10
Assignment Code: MTE-10/TMA/2025
Maximum Marks: 100
1. a) The equation has a positive root in the interval ]1, 2[. Write a fixed point iteration method and show that it converges. Starting with initial approximation x = 1.5 find the root of the equation correct to three decimal places.
b) Find an appropriate root of with 10-5 accuracy by
i) Newton Raphson Method
ii) Secant Method
What conclusions can you draw from here about the two methods?
2.a) Using Maclaurin’s expansion for sin x , find the approximate value of 4 sin with the error bound 5 10 -5
b) Find an approximate value of the positive real root of xe x= 1 using graphical method. Use this value to find the positive real root of xex = 1 correct to three decimal places by fixed point iteration method.
c) Using x o= 0 find an approximation to one of the zeros of x³-4x+1=0 by using Birge-Vieta Method. Perform two iterations.
3.a) Solve the system of equations
using Gauss elimination method with pivoting.
b) Find the inverse of the matrix using Gauss Jordan Method.
c) Solve the following linear system Ax = b of equations with partial pivoting
Store the multipliers and also write the pivoting vectors.
4.a) Solve the system of equations
by using the Gauss Jacboi and Gauss Seidel method. The exact solution of the system is
Perform the required number of iterations so that the same accuracy is obtained by both the methods. What conclusions can you draw from the results obtained?
b) Starting with find the dominant eigenvalue and corresponding eigenvector for
the matrix using the power method.
5. a) The solution of the system of equations 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.
b) Obtain an approximate value of using composite Simpson’s rule with h = 0.25 and
h = 0.125 Find also the improved value using Romberg integration.
c) Find the minimum number of intervals required to evaluate with an accuracy of
by using the Trapezoidal rule.
a) 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 |
b) Calculate the third-degree Taylor polynomial about
c) Use the polynomial in part (a) to approximate and find a bound for the error involved.
d) Use the polynomial in part (a) to approximate
a) Using sin( 0.1) = 0.09983 and sin( 0.2) = 0.19867 , find an approximate value of sin( 0.15) by using Lagrange interpolation. Obtain a bound on the truncation error.
b) Consider the following data
| x | 1.0 | 1.3 | 1.6 | 1.9 | 2.2 |
| f(x | 0.7651977 | 0.6200860 | 0.4554022 | 0.2818186 | 0.110362 |
Use Stirling’s formula to approximate
c) Solve the using R-K method of 0(h4 ) with
h = 0.1 and obtain the value of y(0.2) . Also find the error at t = 0.2 , if the exact solution is
a) The position f(x) of a particle moving in a line at various times xk is given in the following
table. Estimate the velocity and acceleration of the particle at x =1.2
b) A solid of revolution is formed by rotating about the x-axis the area bounded between the curve given by the table
| x | 0 | 0.25 | 0.5 | 0.75 | 1.0 |
| f(x) | 1.0 | 0.9896 | 0.9587 | 0.9089 | 0.8415 |
Find the volume of the solid so formed using
i) Trapezodial rule ii) Simpson’s rule
c) Take 10 figure logarithm to base 10 from by unit increment. Calculate the first derivative of log
9. a) For the table of values of x f(x) = xe xgiven by
| x | 1.8 | 1.9 | 2.0 | 2.1 | 2.2 |
| f(x | 10.8894 | 12.7032 | 14.7781 | 17.1489 | 19.8550 |
Find f"(2.0) using the central difference formula of 0(h2) for h = 0.1 and h = 0.2 . Calculate T.E. and actual error
Calculate T.E. and actual error
b) Suppose n f denotes the value of then find the value of
c) Use Runge-Kutta method of order four to solve carry to x =1.5 with h = 0.1.
d) Find the solution of the difference equation the particular solution when
10. a) The iteration method
where N is positive constant, converges to some quantity. Determine this quantity. Also find the rate of convergence of this method.
b) Determine the spacing h in a table of equally spaced values for the function
so that the quadratic interpolation in this table satisfies
c) Determine a unique polynomial f(x) of degree 3 such that
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Course: Master of Arts in Tourism Management (MTM)
Subject: MTM 10 - Tourism Impacts
Session: January 2025 - December 2025
Language: ENGLISH
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Product Information
| Course Name | Master of Arts in Tourism Management |
| Course Code | MTM |
| Subject Code | MTM 10 |
| Subject | Tourism Impacts |
| Programme | MASTER DEGREE PROGRAMMES Courses |
| Language | ENGLISH |
| Material Type | Solved Assignment – Soft Copy / PDF |
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