Solve your IGNOU Doubts

Question:

An irregular six faced die is thrown and the expectation that in 10 throws it will give five even numbers is twice the expectation that it will give four even numbers. How many times in 10,000 sets of 10 throws would you expect it to give no even number?

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Question:

What are the pitfalls of Gauss-Elimination method? Solve the following system, using Gauss Elimination Method :

2x+y+z=10

3 See Answer →

Question:

Evaluate $\int _{0^{}}^{1} \tfrac{dx}{1+x},$ using Composite Trapezoidal rule with n= 2and 4.

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Question:

Show the followings:

Show that for a subgraph H of a graph G, ∆(H) ≤ ∆ (G)
Show that is not Hamiltonian when is odd

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Question:

Differentiate y w.r.t. x in the following cases:

i) y= sin (sin X)

ii) $y= \sqrt{X+\sqrt{X}+\sqrt{X}}$

iii) y = $e^{cos X}+ cos (e^{x})$

iv) y = 1n( X 1n X )

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Question:

The tangent of the angle between the lines of regression yon xand xon y is 0∙6and $q_{_{x}}=\frac{1}{2}q_{y}$ $q_{_{x}}=\frac{1}{2}q_{y}Findar_{xy}$

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Question:

Prove/show the followings:

the sum of the degrees of the vertices of G is twice the number of edges
If W is a u-v walk joining two distinct vertices u and v, then there is a path joining u and v contained in the walk using the principles of mathematical induction
A connected graph G is Eulerian if and only if the degree of each of its vertices is even.
If G is a connected planar (p,q)-graph, then the number r of the

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Question:

Find a recurrence relation and initial conditions for 4, 14, 44, 134, 404, …

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Question:

To multiply two n-digit numbers, one must do normally See Answer →

Question:

Define a recurrence relation. Describe the following problems with the help of examples which can be solved through Divide and Conquer technique and Show its recurrence relation.

(i) Binary Search

(ii) Merge Sort

Solve these recurrence relations with a substitution method

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Question:

Solve the recurrence by using iterative approach :

$a_{n}=a_{n-1}+2n+3,a_{o}=4,$

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Question:

For which values of a and b is the line b 2x + y = tangent to the parabola y = ax² when x = 2?

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Question:

Find two positive integers such that the sum of the first number and four times the second number is 1000, and the product of the numbers is as large as possible.

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Question:

Find the roots of the equation f(x)=, $f(x)=\frac{e^{x}}{2}-5x+2,$ by using sec€ant methhod.

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Question:

For which values of a and b is the following equation true?

$\lim_{X\rightarrow 0}\left ( \frac{Sin 2X }{X^{3}}+a+\frac{b}{X^{2}} \right )=0$

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Question:

The equation of motion of a particle is $s=t^{3}-3t$ where s is in metres and t is in seconds. Find

i) the velocity and acceleration as functions of t,

ii) the acceleration after 2 seconds,

iii) the acceleration, when the velocity is 0.

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Question:

Find the value of sin( $\pi$ /6)by using Lagrange’s interpolation, the related data is given below

x	:0	$\pi$ /4	$\pi$ /2
y= sin9x)	:0	0.77	1.0

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Question:

^Solve $a_{n+1}+1=5a$ ^for ^{by Substitution method .}

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Question:

Is a Hamiltonian graph Eulerian ? Is a Eulerian graph Hamiltonian ? Show with the help of a suitable example.

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Question:

Find an expression for the function whose graph consists of the line segment from the point ]-2,2]to the point (-1,0) together with the top half of the circle with centre at the origin and radius 1.

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