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Aerospace Engineering (AE) 2011
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Consider x, y, z to be right-handed Cartesian coordinates. A vector function is defined in this coordinate system as v = 3xi + 3yj - yz2k, where i, j and k are the unit vectors along x, y and z axes, respectively. The curl of v is given by
Which of the following functions is periodic?
The function f(x1, x2, x3, x4) = x12 + x22 + x32 + x42 - 2x1 - 4x2 - 6x3 + 14 has its minimum value at
Consider the function f(x, y, z) = x2i + 2xj + e−zk. The vector pointing in the direction of maximum increase of the function at the point (-1, 1) is
Two simultaneous equations given by y = x + x and y = x - π have
In three-dimensional linear elastic solids, the number of non-trivial stress-strain relations, strain-displacement equations and equations of equilibrium are, respectively



