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Mechanical Engineering (ME) 2009
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For a matrix [M] = [ [3/5, 4/5], [x, 3/5] ], the transpose of the matrix is equal to the inverse of the matrix, [M]T = [M]−1. The value of x is given by
The divergence of the vector field 3xz2i + 2xyj − y2zk at a point (1,1,1) is equal to
The inverse Laplace transform of 1/(s2 + s) is
If three coins are tossed simultaneously, the probability of getting at least one head is
If a closed system is undergoing an irreversible process, the entropy of the system
A coolant fluid at 30 °C flows over a heated flat plate maintained at a constant temperature of 100 °C. The boundary layer temperature distribution at a given location on the plate may be approximated as T = 30 + 70exp(−y) where y (in m) is the distance normal to the plate and T is in °C. If thermal conductivity of the fluid is 1.0 W/mK, the local convective heat transfer coefficient (in W/m2K) at that location will be