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1) Show that the real part of the function z^(1/2) is always positive.
2) Suppose f: G --> C ( C complex plane) is analytic and that G is connected. Show that if f(z) is real for all z in G, then f is a constant.
Determine algebraically whether the given function is even, odd, or neither.
Determine the multiple integral under given condition using spherical coordinate - Determine the following triple integral by converting it to an appropriate coordinate system and integrating.
Please solve for the following: Find a particular solution to, Solve: A Second Order ODE y'' + 5y' +4y = -13te^(3t)
Control A certain machine that is used to manufacture screws produces a defect rate of .01. A random sample of 20 screws is selected.
The trigonometric function to find exact value.
In a shop there are 20 customers, 18 of whom will make a purchase. If three customers are selected, one at a time, at random, what is the probability that all will make a purchase?
Probability of having breast cancer. p(BC). Probability of having BC given the mammogram is positive. p(BC/positive mammo), Probability of having a positive mammogram given a person has BC. P(pos mammo/BC)
Determine the kernel and range of each of the following linear transformations from R3 into R3. (a) L(x) = (x3, x2, x1)^T
Two tugboats are pulling a disabled speedboat into port with forces of 1240 pounds and 1480 pounds. The angle between these forces is 28.2 degrees. Find the direction and magnitude of the equilibrant.
Calculate the mean and the standard deviation of the total score?
Maximizing the Sustainable Yield, A lake has a carrying capacity of 10,000 fish. At the current level of fishing, 2000 fish per year are taken and the fish population seems to hold fairly steady at about 4000.
The drying rate in an industrial process is dependent on many factors and varies according to the following distribution.
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