List of top Engineering Mathematics Questions asked in GATE Mining Engineering

The root of the function, f(x)=x³–2x²+3x−1 in the interval [0, 1] using bisection method after two iterations, is____.(round off up to 2 decimals)

Vectors a = 2i+3j-4k and b = 4i+2j+3k represent the two adjacent sides of a triangle. The magnitude of the area of the triangle and the unit vector perpendicular to both a and b respectively, are

A thermal power plant has an agreement with three mines M1, M2 and M3 to receive 'Grade 1' coal, in the proportion of 60%, 25% and 15%, respectively. The probabilities that a wagon supplied coal to the plant containing below Grade 1' from mines M1, M2 and M3 are 0.02, 0.03 and 0.04, respectively. On a random check, a sample wagon is found to carry below 'Grade 1' coal. The probability that the wagon belongs to mine M1, is____.(round off up to 2 decimals)

Magnitude of error in the determination of the integral, I using Simpson's 1/3 rule, taking step length as 1.0 is
\(I=∫^3_1(x^3+6)\) dx

Matrix A= \(\begin{bmatrix} 1 & 4 & 3\\ 5 & 2 & 1\\6&4&3 \end{bmatrix}\), and B=A-A^T, then B is 

The magnitude of the curl of the vector F = 2xi + 3yj + 4zk, is

In a M/M/1 system, the inter-arrival time of dumpers to a shovel follows exponential distribution with a mean arrival rate of 9 dumpers per hour. The service time of the shovel follows exponential distribution with a mean service rate of 12 dumpers per hour. The probability that exactly one dumper is available to the shovel is

The value of integral,\(I=∫^{\frac{π}{4}}_0\) cosx sin³x sin3 x dx is

The value of lim\( x\rightarrow0 (\frac{n\,\, sin 5x}{sin \,\,3x})\) is