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Which of the following is not a analytic function?
C.R. equation is not satisfied. So, f(z)=|z|2 is not analytic.
What is analytic function Mcq?
Analytic Function
If a complex function f(Z) is differentiable at point Z0 and also differentiable at every point in some neighbourhood of a point Z0 then the function f(Z) is called an analytic function at point Z = Z0.
Analytic Function | Multiple Choice Questions |Part-1 |MCQ | RTMNU | Nagpur University | B.Sc. Maths
Images related to the topicAnalytic Function | Multiple Choice Questions |Part-1 |MCQ | RTMNU | Nagpur University | B.Sc. Maths
Which of the following is an analytic function?
iv) f(z) = sin z = (x + iy)
Hence f(z) is analytic.
Is the function f z )= z is analytic?
f(z)=|z| is not analytic.
Which of the following function f z is not analytic?
Since the function is not defined for these two values. But in question it is asked at all points hence f(z) = log z is not analytic at all points.
Is E Z analytic?
This is not an analytic function. It is easy to check that it does not satisfy the Cauchy-Riemann equations anywhere outside of the origin. It is also easy to check that it is not differentiable outside of the origin. In general, real valued functions can not be analytic.
Which of the following is not an analytical entity?
| Q. | Which of the following is not an analytical entity? |
|---|---|
| B. | Circle |
| C. | Spline |
| D. | Parabola |
| Answer» c. Spline |
See some more details on the topic Which of the following function is not analytic Mcq? here:
Which of the following is not an analytic function? – Competoid
Which of the following is not an analytic function? A) ez.
Analytic Functions MCQ +notes | PDF | Equations – Scribd
1. Show that the function f (z) = is no where differentiable. Solution: Given u+iv = x-iy u=x
Analytic Functions MCQ [Free PDF] – Objective Question …
Which of the following function f(z), of the complex variable z, is NOT analytic at all the points of the complex plane? · Answer (Detailed Solution Below).
312643837 Analytic Functions MCQ Notes – StuDocu
Show that the function f (z) = is no where differentiable. Solution: Given u+iv = x-iy u=x v=-y ux =1 vx =- uy =0 vy =- ux vy.
Is Z analytic?
z* Is Not Analytic
It is interesting to note that f (z) = z* is continuous, thus providing an example of a function that is everywhere continuous but nowhere differentiable in the complex plane.
Which of the following is analytic function everywhere?
The function cos z is analytic over the entire entire z.
Complex Analysis #2 (V.Imp.) | Checking Analytic Function | Verifying Cauchy Riemann Equations
Images related to the topicComplex Analysis #2 (V.Imp.) | Checking Analytic Function | Verifying Cauchy Riemann Equations
How do you find a function is analytic or not?
Definition: A function f is called analytic at a point z0 ∈ C if there exist r > 0 such that f is differentiable at every point z ∈ B(z0, r). A function is called analytic in an open set U ⊆ C if it is analytic at each point U. ak zk entire. The function f (z) = 1 z is analytic for all z = 0 (hence not entire).
What is analytic function give example?
Typical examples of analytic functions are. All elementary functions: All polynomials: if a polynomial has degree n, any terms of degree larger than n in its Taylor series expansion must immediately vanish to 0, and so this series will be trivially convergent. Furthermore, every polynomial is its own Maclaurin series.
Is log Z analytic?
Answer: The function Log(z) is analytic except when z is a negative real number or 0.
Is ZZ * analytic?
it’s not analytic. FYI these are some good properties to remember for exams.
Is Coshz analytic?
Using the Cauchy-Riemann equations prove that the functions cosh z and sinh z are analytic in the whole complex plane.
Is Z 3 analytic?
dv/dr= 3 r^2 sin 3 theta. This gives 1/r du/dtheta= – dv/dr. The condition is satisfied. Therefore z^3 is analytic.
Is analytic function harmonic?
If you have a harmonic function u(x,y), then you can find another function v(x,y) so that f(z)=u(x,y) + i v(x,y) is analytic. The details aren’t important. The fact is that harmonic functions are just real and imaginary parts of analytic functions.
Which of the following is not synthetic entity?
5. Which of the following is not a synthetic entity? Clarification: he hyperbola is one of the three kinds of conic section, formed by the intersection of a plane and a double cone.
Exercise#3.1 Complex analysis by denni g zill || Find Points where function is not analytic
Images related to the topicExercise#3.1 Complex analysis by denni g zill || Find Points where function is not analytic
Which of the following is not a kind of synthesis problem?
4. Which of the following is not classified under synthesis problem? Explanation: Graphical methodology can result in errors in the synthesis of a mechanism hence, it is classified as a synthesis problem. However, the remaining options do not classify as synthesis problems.
Which of the following is not a method to describe a curve mathematically *?
| Q. | Which of the following is not a method to describe a curve mathematically? |
|---|---|
| B. | Laplace form |
| C. | Implicit form |
| D. | Parametric form |
| Answer» b. Laplace form |
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