analytic

1. analytic

3x-ay-9=0 and x+by+3=0 . These lines are intersecting at a right angle. How far is the point of intersection from the origin?
2. Proving a Function is Analytic

I would like to prove that this function is analytic. It is really hard for me to see. We suppose that f is analytic and zero free in a domain D, the function I wish to prove is analytic is: \int_{z_0}^z \frac{f'(\zeta )}{f(\zeta )} ~d\zeta My professor tells me there is a standard argument...
3. How to be good at Analytic Geometry Subject

can you help me how to be good at this? My Teacher sucks, he's always be like chatting with the whiteboard he doesnt care on his students like me. from the first day, i still dont know how to compute any questions, i dont even know what mid point is im only 14 yrs old please help
4. analytic root (complex functions)

Hi everyone :) In complex analysis, how to show $f(z)=z^{2}-4z$ has a square root function (which is single valued) on $\Omega =\left \{z : \left | z \right | \right .> 4 \}$ I know it doesn't have an analytic logarithm (due to the Argument's principle) P.S: as far as I know the only...
5. Analytic Geometric Trigonometry

Any angle can be assigned a rational number by dividing a standard angle, say 90deg, into an arbitrary number of segments geometrically, just as points on the line can. Then any angle can be defined (given a number) by a geometric cut in precisely the same way that any point on the line can...
6. analytic

View image: analytic Answer is (4,2).But I couldn't get it.
7. Coordinate Geometry

Please help me solve this problem ^^ :) 1. Find the equation of the lines satisfying the following conditions: a) parallel to 3x+4y=20 & distance 5 from the origin. b) Perpendicular to y=7x+1 & passing at √2 distance from (4,-2) thanks in advance for helping me ^^
8. Not completely understanding what analytic means. HELP!

I understand the following: Theorem: Suppose the real functions u(x,y) and v(x,y) are continuous and have continuous 1st order partials in a domain D. If u and v satisfy the CR equations at all points in D, then f(z) = u(x,y) +iv(x,y) is analytic in D. Therefore, the CR equations u_{x} = v_{y}...

10. Analytic function help

Please view the attached How do i work out which ones are correct? Is it the ones that are infinitely differentiated? How do i do this, cheers.
11. Analytic vs differentiable

Hi, I need some help with the question attached. It's my understanding that an analytic function is differentiable at every point in the domain. What does "nowhere analytic" mean. Is the premise behind this question that the function is differentiable on the coordinate (does coordinate mean...
12. Which is Analytic

I have tried the 3 main options in pairs but didnt get it right.
13. Analytic funtions

So im pretty sure i got part 1. 3 is the magnitude and its to the power of (5/6)(pi)i Please help with the following questions cheers.
14. analytic geometry problem!!! pls help

A(2,0,3); B(5,-1,3); C(1,2,0) i have to find the coordinates of the centroid of this triangle (A,B and C are the points of the triangle) please help. (:
15. Analytic Trigonometry?

So, I've been having issues with my homework. My teacher was gone for the class and posted up videos, but both the videos and the book don't really go over a number of the problems. I'm having issues with a few, and I was wondering if somebody could guide me through them step by step...
16. Necessary and sufficient conditions for a complex function to be analytic.

How to prove the necessary and sufficient conditions to be analytic in case of complex functions? I have tried to do it and consulted many books too but I couldn't get clear concept of it. Do anybody have clear way to do it?
17. Analytic function with real part

I'm a bit stuck with this question Find one analytic function with real part u(x,y)= x^2-y^2-y as a function f(z) of a single complex variable z
18. Analytic function on entire Riemann sphere is constant

According to Wikipedia (under properties) a function which is entire on the whole Riemann sphere must be constant, but I can't quite see why. Is it because the limit as |z| goes to infinity of f(z) exists, and therefore f is bounded?
19. Show that u is not part of analytic function

Answer u(x,y) is the real part of an analytic function if and only if:d^2u/dx^2 + d^2u/dy^2 = 0 But for u(x,y) = x^2+y^2 we have: d^2u/dx^2 = 2 and d^2u/dy^2 = 2 Thus: d^2u/dx^2 + d^2u/dy^2 = 4 0 -> it's not the real part of an analytic function Is the answer correct.....
20. Show that u is the real part of analytic function

Answer u(x,y) is the real part of an analytic function if it has zero Laplacian. Note that u_x = 2x u_xx = 2 u_y = -2y - 1 u_yy = -2 Therefore, the Laplacian of u is u_xx + u_yy = 2 - 2 = 0. Is the answer correct.....