Engineering Mathematics
Complex Functions
Complex Integral
Questions mapped to Complex Integral under Complex Functions.
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IncorrectThe magnitude of the contour integral
over the contour is
(Round off to two decimal places)
Note: is a complex variable and
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Sign in to UnlockLet be a clockwise oriented closed curve in the complex plane defined by . Further, let be a complex function, where . Then, __________ (round off to the nearest integer).
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Sign in to UnlockConsider the complex function . The coefficient of in the Taylor series expansion of about the origin is ________ (rounded off to 1 decimal place).
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Sign in to UnlockLet and be the vertices of rectangle in the complex plane. Assuming that is traversed in counter-clockwise direction, the value of the contour integral is
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Sign in to UnlockThe value of the following complex integral, with representing the unit circle centered at origin in the counterclockwise sense, is
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Sign in to UnlockThe closed loop line integral
evaluated counter-clockwise, is
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Sign in to UnlockThe value of the integral in counter clockwise direction around a circle C of radius 1 with centre at the point Z= -2 is
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Sign in to UnlockIf C is a circle and , then is
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Sign in to UnlockConsider the line integral The line c is shown in the figure below
The value of I is
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Sign in to UnlockThe value of the contour integral in the complex-plane . Along the contour , taken counter-clockwise is
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Sign in to UnlockThe value of the integral , over the contour, taken in the anti – clockwise direction, would be
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Sign in to UnlockIntegration of the complex function, in the counterclockwise direction, around, is
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Sign in to UnlockEvaluated anticlockwise around the circle, where i =, is
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Sign in to UnlockGiven. If C is a counter clockwise path in the z-plane such that, the value of is
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Sign in to UnlockThe value of where C is the contour is
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