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Question: Decide which of the following functions are analytic
(i) f(z) = x2 + iy2
(ii) f(z) = ex+y (1+ xy)2
(iii) f(z) = z
(iv) f(z) = sinh (z)
After t hours on the job, one factory worker is producing Q'1(t) = 60 - 2(t - 1)^2 units per hour, while a second worker is producing Q'2(t) = 50 - 5t units per hour.
an employee's new salary is $20,370 after getting a 5% raise. What was the salary before the increase in pay? Last years salary was $.
One tire manufacturer found that after 5,000 miles, y=32 of n = 200 steel-belted tires selected at random were defective. Find an approximate 99 percent confidence interval for p, the proportion of defective tires in the total production.
Determine the order of each differential equation, and whether or not the given functions are solutions of that equation on some interval of x values.
A car is traveling at 90 km/h when the driver sees an accident 50 m ahead and slams on the brakes. What constant deceleration is required to stop the car in time to avoid a pileup? (Give your answer correct to two decimal places.)
If the tire of a car rotates at a constant speed of 552 times in one minute, how many times will the tire rotate in half-an-hour?
angle of 58 degrees with level ground. At a point 29 feet from the base of the tower and in line with the base of the guy wire, the angle of elevation to the top of the tower is 27 degrees. What is the length of the guy wire?
The total cost of the fencing along three sides comes to $2130. What are the lot's dimensions?
If the market price is set at the equilibrium price, find the consumers' surplus and the producers' surplus?(Round your answers to the nearest dollar.)
Linear Programming can be used to solve very large problems with thousands of variables and constraints. Smaller problems can be easily solved with Excel, which is available on virtually all desktop computers with Microsoft Office or with online appl..
Annual profit in thousands of dollars is given by the function, P(x) = -.01x2 + 50x + 30,000, where x is the number of items sold, x ≥ 0.
She estimates that the revenue from the game will be $80,000 if it does not rain and $55,000 if it does rain. What must the chance of rain be if she is ambivalent about this insurance?
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