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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 Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2015-P2_files\image046.png 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 Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-EE-ME-19-Mar\GATE-ME-2000_files\image056.pngat 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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