1) Give the points at which the given function is not analytic; z z + 3i...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
1) Give the points at which the given function is not analytic; z z + 3i a) f(z) = b) f(z) = c) f(z) = d) f(z) = b) lim z →1 2i z² - 2z +5iz z²+z z + 4 2) Show that f(2)=z and f(2)= z.zare both nowhere differentiable 3) Show that the given limit does not exist a) lim z+5-7i z² +62 +25 b) f(z) = x+y=1 z - 1 4) Using the analyticity criterion show that the given functions are analytic, stating the appropriate domains and find f'(z) x-1 a) f(z)=- (x-1)² + y² x²³ + xy² + x x² + y² - y (x - 1)² + y² - x²y + y² − y x² + y² c) f(z) = e(cos y + i sin y) d) f(z)=z³ e) f(z) = sin z 5) Show that the Cauchy - Riemann equations in polar coordinates are: du dr du 20 11 = ete šle r de dr 1) Give the points at which the given function is not analytic; z z + 3i a) f(z) = b) f(z) = c) f(z) = d) f(z) = b) lim z →1 2i z² - 2z +5iz z²+z z + 4 2) Show that f(2)=z and f(2)= z.zare both nowhere differentiable 3) Show that the given limit does not exist a) lim z+5-7i z² +62 +25 b) f(z) = x+y=1 z - 1 4) Using the analyticity criterion show that the given functions are analytic, stating the appropriate domains and find f'(z) x-1 a) f(z)=- (x-1)² + y² x²³ + xy² + x x² + y² - y (x - 1)² + y² - x²y + y² − y x² + y² c) f(z) = e(cos y + i sin y) d) f(z)=z³ e) f(z) = sin z 5) Show that the Cauchy - Riemann equations in polar coordinates are: du dr du 20 11 = ete šle r de dr
Expert Answer:
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
-
The equation x2 xy + y2 = 3 represents a rotated ellipse, that is, an ellipse whose axes are not parallel to the coordinate axes. Find the points at which this ellipse crosses the axis and show that...
-
The equation x2 - xy + y2 = 3 represents a "rotated ellipse," that is, an ellipse whose axes are not parallel to the coordinate axes. Find the points at which this ellipse crosses the -axis and show...
-
There are three general methods of allocating overhead costs: plantwide rates, rates for each expense category, and departmental rates. Describe when each is the most useful.
-
Describe the characteristics an asset must possess in order to serve as a medium of exchange. Which of these is most important for the operation of the economy?
-
A gas turbine with air flowing in at 1200 kPa, 1200 K has an exit pressure of 200 kPa. Find the lowest possible exit temperature. Which efficiency does that correspond to?
-
Black Supply Company has three responsibility centers: sales, production, and administration. The following information pertains to the November activities of Black Supply: Required Prepare a...
-
Using the data in E16-15, assume Royale Mortgage Company uses the FIFO method. Also assume that the applications in process on September 1 were 100% complete as to materials (forms) and 40% complete...
-
1. Nidoran Woodworking Corporation produces fine cabinets. The company uses a job-order costing system in which its predetermined overhead rate is based on capacity. The capacity of the factory is...
-
Beverly and Ken Hair have been married for 3 years. Beverly works as an accountant at Cypress Corporation. Ken is a full-time student at Southwest Missouri State University (SMSU) and also works...
-
If company is incorporated before April 26, 1965 there are four tests to determine the residence of the company. Which one of the following is not a test: Group of answer choices a) where the books...
-
your client believes the share price of IBM Ltd., currently selling at $45 a share, could move substantially in either direction due to an on-going acquisition negotiation on price, which is expected...
-
Discuss how the advent of non-volatile memory (NVM) and persistent memory affects traditional virtual memory models. What are the new challenges and opportunities presented by these technologies in...
-
Many caterpillars construct cocoons from silk, one of the strongest naturally occurring materials known. Each thread is typically 2.0 m in diameter, and the silk has a Young's modulus of 4.0 10 N/m....
-
A reverse-osmosis membrane to be used at 25C for a NaCl feed solution containing 2.5 g NaCl/L (2.5 kg NaCl/m, p=999 kg/m) has a water permeability constant A = 4.81 x 10 kg/s m atm and a solute...
-
Plot the asymptotic bode plots of the following transfer functions. From the asymptotic Bode diagram determine the crossover frequencies, the gain margin, and the phase margin. Indicate these values...
-
Land and other real estate held as investments by endowments in a government's permanent fund should be reported at:a- fair value less cost of disposalb- fair valuec- The lower of cost and net real 2...
-
What can scientists learn by comparing the fossilized skeletons of extinct primates with the bones of modern species?
-
Find an ODE y" + ay' + by = 0 for the given basis. e 2.6x , e -4.3x
-
Find a general solution of the ODE y" + 2 y = r(t) with r(t) as given. Show the details of your work. What kind of solution is excluded in Prob. 8 by || 0, 2, 4, ? Data from Prob. 8 r (t) = /4...
-
Same question as in Prob. 34 for two ships moving northeast with speed |v A | = 22 knots and west with speed |v B | = 19 knots. Data from Prob. 34 If airplanes A and B are moving southwest with speed...
-
Dollar/Euro Forwards. Use the following spot and forward bid-ask rates for the U.S. dollar/euro (US$/) from December 10, 2010, to answer the following questions: a. What is the mid-rate for each...
-
Swissie Triangular Arbitrage. The following exchange rates are available to you. (You can buy or sell at the stated rates.) Assume you have an initial SF12,000,000. Can you make a profit via...
-
Aussie Dollar Forward. Use the following spot and forward bid-ask rates for the U.S. dollar/Australian dollar (US$ = A$1.00) exchange rate from December 10, 2010, to answer the following questions:...
Study smarter with the SolutionInn App