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Supppose F(z) is holomorphic near z = z0 and F(z0) = F' (z0) = 0, while F"(z0) ≠ 0. Show that there are two curves Γ1 and Γ2 that pass through z0, are orthogonal at z0, and so that F restricted to Γ1 is real and has a minimum at z0, while F restricted to Γ2 is also real but has a maximum at z0.
[Hint: Write F(z)=(g(z))2 for z near z0, and consider the mapping z ? g(z) and its inverse.]
Select and research a contemporary political, social, religious, or business, leader to learn about how the leader employs Greenleaf's principles of servant leadership to motivate, influence, and lead others. You may use the "Individual and Corpor..
How many three-different-flavor pancake orders provide subtly different nutrition? (How many are nutritively the same?)staff refer to this as "stack order." There are six pancake flavors (blueberry, chocolate chip, apple cinnamon, pecan, buttermil..
Suppose that the probability of n claims is 1/2n+1 and the probability is e-2x that a given claim will be greater than x. What is the probability that the aggregate claims will be less than or equal to log (10)?
The actual results consisted of 152 yellow peas. Is the result unusually high? What does this result suggest about Mendel's theory?
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Deterine wheter outcomes are likely to occur by chance.
recently a regional automobile dealership sent out fliers to perspective customers indicating that they had already won
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Find the equation of the tangent line in slope intercept form of the curve given by: Sand is being poured on a conical pile at the rate of 12 cubic feet per minute, the height of the pile being three times its diameter throughout. At what rate is t..
What is the probability that it has exactly three distinct digits and how many different ways could the funds be split up - determine probability of appearing, and then order the hands by value:
What is the probability that a randomly selected automobile manufactured by the company will have a defective microprocessor?
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