GATE XE 2018 Paper 1 — page 7

Questions 19–21 of 175. Imported answers require review unless explicitly marked reviewed.

Paper practice 175 questionsPage 7 of 59

Let

denote the set of complex numbers and

. Let

be the simple positively oriented circle

and

. If

is analytic in

and is given by

then the value of the contour integral

Your answerChoose one option.

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Let

denote the three dimensional Euclidean space and

for all

. If

is the curve described by the parametric equation

, then the value of the line integral

is ______________

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Let

satisfy the initial and boundary value problem

Then the value of

is ______________

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2018 · Paper 1