Solve your IGNOU Doubts
Solve your IGNOU Doubts
Question:

What are the duties of a Tourist Guide? What are the skills required to be a good tour guide?

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Question:

Explain how museums can be a tourist attraction. Support your answer with suitable examples.

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Question:

Impact of Tourism on Environment

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Question:

Role of Seasonality in Tourism

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Question:

Purpose of Tourism

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Question:

What are the factors that are identified as obstacles to the development of modern tourism

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Question:

Why there is need for Tourism Policy & Planning in India.

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Question:

What are the various types of Accommodation? Is the paying guest accommodation beneficial for the tourism industry?

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Question:

Define Tourism. Explain the different forms and types of tourism.

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Question:

Evaluate the following integrals

a) \int_{0}^{\infty}\frac{x^2 + 2}{(x^2 +1)(x^2 + 4)}dx

b) \int_{-\infty}^{\infty}\frac{sin^22x}{1+x^2}dx

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Question:

Show that there is only one linear fractional transformation that maps three given distinct points z_1,z_2 and z_3 in the extended z plane onto three specified distinct points w_1, w_2 and w_3  in the extended w plane.

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Question:

Find the image of the semi-infinite strip x>0 , 0<y<1 when w= i/z . Sketch the strip and its image

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Question:

Prove that the linear fractional transformation \Phi (z) = \frac{2z-1}{2-z} maps the circle c : \lvert z \rvert =1 into itself. Also prove that f(z) is conformal in \overline{D} = \left \{ z : \lvert z \rvert \leq 1 \right \}.

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Question:

Find the zeros and singularities of the function f(z) = \frac{z}{4cos^2z - 1} in \lvert z \rvert \leq 1. Also find the residue at the poles.

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Question:

Expand f(z) = \frac{1}{(z-1)^2(z-3))} in a Laurent series valid for i) 0 < \lvert z-1 \rvert < 2 and ii) 0 < \lvert z-3 \rvert < 2

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Question:

Find the radius of convergence of the following series

i) \sum_{k=1}^{\infty}\frac{(-1)^{k+1}}{k!} (z-1-i)^k

ii) \sum_{k=1}^{\infty}\left ( \frac{6k + 1}{2k + 5} \right )^k\left ( z - 2i \right )^k

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Question:

Evaluate  \int_{C}^{} \frac{z^3 + 3}{z(z-i)^2}dz, where c  is the eight like figure shown in Fig. 1

 

Image ignouassignments-ignouacademy-com--p-doubts-71351

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Question:

Find the maximum modulus of f(z) = 2z + 5i on the closed circular region defined by \lvert z \rvert \leq 2

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Question:

Evaluate \oint_{C}^{}\frac{dz}{z^2 + 1} where c is the circle \lvert z \rvert = 4.

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Question:

Find all the singularities of the function f(z) = exp(\frac{z}{sin z})

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