Related InterviewSolutions

• Using Cauchy's integral formula, the value of the integral (integration beign taken in counter clockwise direction) ∮z3−63z−idz is within the unit circle
• The directional derivative of f(x,y,z)=2x2+3y2+z2 at the point P(2,1,3) in the direction of the vector →a=^i−2^k is
• The angle between two unit-magnitude coplanar vectors P(0.866, 0.500, 0) and Q (0.259, 0.966, 0) will be
• Let P(E) denote the probability of an event E. Given P(A)=1, P(B)=12, the values of P(A/B) and P(B/A) respectively are
• Let i and j be the unit vectors in the x and y directions, respectivley. For the function F(x,y)=x3+y2, the gradient of the function i.e.,▽F is given by
• Each of the nine words in the sentence, "The Quick brown fox jumps over the lazy dog" is written on a separate piece of paper. These nine pieces of paper are kept in a box. One of the pieces is drawn at random from the box. The expected length of the word drawn is .(The answer should be rounded to one decimal place)3.88
• ∫∫(∇×P).dS, Where P is a vector, is equal to
• A square matrix B is skew-symmetric if
• Let A be an invertible matrix and suppose that the inverse of A is [−124−7]. Then the matrix A is
• An unbalanced dice (with six faces numbered 1 to 6) is thrown. The probability that face value is odd is 90% of the probability that the face value is even. The probability of getting any even numbered face is same. If the probability that the face is even, given that it is greater than 3 is 0.75, then the probability that the face value exceeds 3 is .0.468