1. Let f(x+iy) = u(x, y) + iv(x, y), where u : R² → R and v : R² → R are defined byu(x, y) = x + 2xy,v(x, y) = y² — x² — y.This defines a corresponding complex function ƒ : C → C.(b) Use the definition of the derivative to show that f is not (complex) differentiableat any point zo E C.

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1. Let f(x+iy) = u(x, y) + iv(x, y), where u : R² → R and v : R² → R are defined by u(x, y) = x + 2xy, v(x, y) = y² – x² — y. This defines a corresponding complex function f: C → C. (b) Use the definition of the derivative to show that f is not (complex) differentiable at any point zo E C.

1. Let f(x+iy) = u(x, y) + iv(x, y), where u : R² → R and v : R² → R are defined by u(x, y) = x + 2xy, v(x, y) = y² – x² — y. This defines a corresponding complex function f: C → C. (b) Use the definition of the derivative to show that f is not (complex) differentiable at any point zo E C.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...

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