Solve your IGNOU Doubts

Question:

Expand $e^{2x}$ in powers of $(x-1),$ up to four terms.

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Question:

Obtain the largest possible domain, and corresponding range, of the function f , defined by $f(x)=\frac{x-2}{3-x}.$

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Question:

The curve $ay^{2}=x(x=a)^{2}\,,a>0$ has a loop between x = 0 and x = a. Find the area of this loop.

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Question:

Find the derivatives of $ln(1+x^{2})w.r.t.\,\,tan^{-1}\,x.$

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Question:

Use Simpson’s method to approximate $\int_0^{8}(x^{2}-x+3)dx$ with8 sub-intervals.

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Question:

Evaluate $\int \frac{x^{2}dx}{(x-3)(x-5)(x-7)}$

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Question:

Find the angle between the curves $y^{2}=ax\,and\,ay^{2}=x^{2}(a>0),$ at the points of intersection other than the origin.

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Question:

Find the length of the curve given by $x=t^{2}\,,y=2t^{2}\,in\,0\leq t\leq 2.$

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Question:

Give the consequences of Schottky and Frenkel defect.

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Question:

Explain close packing in two dimensions for a crystalline solid with the help of a suitable diagram.

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Question:

What are the elements of symmetry? Give the suitable diagrams for any one of them.

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Question:

Give the reasons for the striking contrast in the boiling points of ethanol (351 K) and dimethyl ether (249 K). Give suitable diagrams to illustrate this.

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Question:

For the reaction, $C1_{2}(g)+2NO(g)\rightarrow 2NOC1(g),$ the initial concentrations, $[c1_{2}]_{0}$ and $[NO]_{0}$ are given below along the corresponding with initial rates.