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1. Determine the largest domain Ω on which the function f(z) = log z / z is analytic, where log z is the principal branch of the logarithm. Furthermore, compute f'(z) on your domain Ω.
If u(x, y) = (1/2) ln(x2 + y2) and v(x, y) = tan-1 y/x, then is f(x + iy) = u(x, y) + iv(x, y) analytic on Ω, where Ω is the complex plane with the point z = 0 removed?
Cara needs $9000 in 11years. What amount can she deposit at the end of each quarter at 8% annual interest compounded quarterly so she will have her $9,000? Show Work
The second term in a geometric sequence is 12. The fourth term in the same sequence is 4/3. What is the common ratio in this sequence?
identify three discrete variables that appear in your current or future career. how do those variables affect your
In one town 76% adults have health insurance. What is the probability that 8 adults selected at random from the town all have health insurance?
Calculate the line integral ∫c (2J→ + 3k→) dr→ where C is the y-axis from the origin to point (0,10, 0). Please show work, so that I may understand the solution process.
If this same card were issued 30 years ago, what would your interest rate be? In the event that there were multiple prime interest rates for a year, use the one that is 30 years from the day your class started. Use the Internet to determine what t..
A baseball diamond is a square whose side is 90 feet. Approximate the distance from home plate to second base.
a survey of 1100 people in a certain city indicates that 850 own microwave ovens, 750 own dvd players and 560 own microwave ovens and dvd players.
Find the differential coefficient for three different functions to demonstrate the use of function of a function and the product and quotient rules and use integral calculus to solve two simple engineering problems involving the definite and indefi..
find the maximum and minimum, changes in concavity, intervals of increasing and decreasing, and asymptotes ofthe above function.
business week conducted a survey of graduates from 30 top mba programs business week september 22 2003. the survey
Evaluate the length and width of the given rectangle using the area and the relation of length and width.
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