Show that z is not analytic at any point in the complex plane.

Use Cauchy's integral formula to evaluate the integral.

<img src='./qimages/13202-1b.jpg'>

Discuss the singularities of the function



Discuss Moments, Skewness and Kurtosis.

Find the best fit y ax^b to the following data:

50 70 100 120

12 15 21 25

Find the probability of getting a king or a heart or a red card, if a card is drawn from a deck of 52 cards.

Derive Poisson distribution as a limiting case of Binomial distribution.

In a sample of 1000 people in Delhi, 540 are rice eaters and the rest are wheat eaters. Can we assume that both rice and wheat are equally popular in Delhi at level of significance?

If X is a normal variate with mean 30 and S.D. find the probabilities that

26 X 40,

5.

Using Regula-Falsi's method, find a real root of logx -cosx correct to four decimal places.

Show that Newton-Raphson's method has quadratic convergence.

Find Lagrange's interpolating polynomial for 12) and 147).

Use Crout's method to solve

x +2y+3z Z 2x+Y Z =O.

Evaluate <img src='./qimages/7539-43.jpg'> by using Simpson's 1/3rd rule

Apply Runge-Kutta's method of fourth order to determine y(0·3) from

dy/dx =1.

Take step size h =0·1.