Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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- A) Evaluate the given line integral directly. B) Evaluate the given line integral by using Green's theorem.arrow_forward2. Consider the function f : R² → R² defined by f(x, y) = (xeª cos y — yeª sin y, eª y cos y + xeª sin y). It is given that the corresponding complex function ƒ : C → C is holomorphic on its domain. (b) Find f'(1 + in).arrow_forwardLet 3. f(2) = z² – 2iz be a complex valued function defined on a complex plane. Writing z = x + iy, 6. find real valued functions u(x, y) and v(x, y) such that f(2) = u(x, y) + iv(x, y). u(x, y) = 2x² + 2y? + x and v(x, y) = 4xy – Y u(x, y) = x² – y² + 2y and v(x, y) = 2xy – 2x u(x, y) = 2x ² – 2y + y and v(x, y) = 4xy- x u(x, y) = x2 +y2 +x and v(x, y) = 2xy- yarrow_forward
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