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GATE 2019: Engineering Mathematics Quiz-7
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Question 1
Curl of vector V(x, y, z) = 2x2 i + 3z2j + y3 k at x = y = z = 1 is
Question 2
The directional derivative of at in the direction of line PQ, where , is _____.
Question 3
The surface integral over the sphere given by x2 + y2 + z2 = 9 is ____
Question 4
The value of (where C is the boundary of the region boundary by x = 0, y = 0 and x + y = 1) is …………………………
Question 5
The maximum value of the directional derivative of the function at a point (1, 1, –1) is
Question 6
The directional derivative of the scalar function f(x, y, z) = x2 + 2y2 + z at the point P = (1, 1, 2) in the direction of the vector is
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