Question: Using Cauchy Riemann equations prove that the followings do not have derivatives: (Assume that x, y E R and z = x + iy, z = x – iy E C) (a) f(z) = 7; (b) f(2) = z – 7; (c) f(:) = 2x + ixy²; (d) f(2) = e*e¯".

Question: Using Cauchy Riemann equations prove that the followings do not have derivatives: (Assume that x, y E R and z = x + iy, z = x – iy E C) (a) f(z) = 7; (b) f(2) = z – 7; (c) f(:) = 2x + ixy²; (d) f(2) = e*e¯".

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.4: Solving Nonlinear Equations

Problem 17E: Van der Waals Equation In Exercise 18 at the end of Section 2.3, we discussed the ideal gas law,...

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Concept explainers

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

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