Need the answer to the following questions based on the data in the attached file :
QUESTIONS:
1. From steps 1-5 in part C, compare the mass of the clean, dry bottle with the mass of the bottle after the sample has been removed. List possible reasons for any discrepancy. Suggest ways to test your hypotheses.
2. Explain step by step how you would prepare an aqueous solution of NaCl by dissolving 0.2500 g of NaCl in a class A 100 mL volumetric flask.
3. Calculate the molarity and error of the aqueous solution prepared in Question2. You must calculate the error using error analysis. The tolerance of the balance is ± 0.002 g. The uncertainty in the molar mass of NaCl is ± 0.0002 g/mol. You will need to determine the error in the volumetric flask by consulting Chapter 2 in the 8th edition of your textbook.
4. Describe the determinate (systematic) and indeterminate (random) errors in this experiment.
5. Why is it difficult to obtain an accurate mass of sodium hydroxide?

There are 38 attached problems that look like these:
Find the midpoint of (5, 0) and (-4, 2).
Write the standard form of -2x² + 16x +24y- 224=0
Find the foci of 45y² - 320x²+ 6= 2886

Please help with the following mathematics-related problem.
Let f(z) be analytic in a region G and setphi(z,w) = (f(w)-f(z))/(w-z) for w,z E G w does not equal z. Let z0 Ye G. Show that lim (z,w)-->(z0,z0) phi(z,w) =f'(z0).
Complex Variables. See attached file for full problem description

Let f = u + iv be an analytic function on an open connected set G in C ( C = complex plane) where u and v are its real and imaginary parts. assume u(z) >= u(a) for some a in G and all z in G. Prove that f is constant.

I started working on this problem using Excel , but I am not sure if i am am approaching this correctly. the problem statement is in a word document AHP some explanation would be helpful.
The MIS Department is developing a computer lab to support advanced applications. The planning committee has focused on three main criteria

Functions of a Complex Variables
Analytic Functions
If u = sin x . cosh y + 2cos x . sinh y + x2 - y2 + 4xy ,
then prove that u is a harmonic function and find the analytic funct

5. Let the function ... be analytic in a domain D that does not include the origin ...
13. ... state why the functions ... are harmonic in D and why ... is in face, a harmonic conjugate
11. ... Why must this satisfy Laplace\'s equation?
Please see attachment for complete questions. Thanks.