GATE AE topic:calculus PYQs & Answers — Page 4

Questions 31–34 of 34. Imported answers require independent review unless marked reviewed.

Topic practice 34 questionsPage 4 of 4

Consider the vector field

; where

. The contour integral

, where

is tangent to the contour that encloses the origin, is __________ (accurate to two decimal places).

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The magnitude of the x-component of a unit vector at the point (1, 1) that is normal to equipotential lines of the potential function

, where

, is ______ (accurate to two decimal places).

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The value of the integral

, with C the boundary of the square

, is __________

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Let

be a unit vector that is a function of the parameter

. Then

__________

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GATE AE topic:calculus PYQs