BARC EE : Engineering Mathematics Quiz-3

For the position vector ,  is:

A complex function is defined as f(z) = e^2z. The imaginary part of f(z) is:

For the regression equations:

y = 0.516x + 33.73 and x = 0.512y + 32.52

the means of x and y are nearly

Find the value of

Two urns A and B containing n balls numbered from 1,2,…..n one ball is drawn from each of the urns. The probability that the numbered ball draw from A is smaller than that drawn from ‘B’ is:

For the matrix

the expression A⁵ – 4A⁴ – 7A³ + 11A² – A – 10I

is equivalent to

Probability of candidate 1 getting selected for an interview is  while for candidate 2 is . The Probability neither of them is selected is

The value of [A]adj(A) is _______, if |A| = 1.

A bag contains 4 white and 2 black balls and another bag contains 3 of each colour. A bag is selected at random and a ball is drawn at random from the bag chosen. The probability of the white ball drawn is

The coefficient of x³ in the Taylor series expansion of  is: