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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.
It has been recorded that the average number of errors in a newspaper is 4 mistakes per page. What is the probability of having 0 or one error
Find the volume of the ellipsoid generated by rotating around the x axis the region bounded by the ellipse with the equation (x/a)^2 + (y/b)^2 = 1
The inflection points and global extrema.
If the annual proportion of erroneous income tax returns filed with the IRS can be looked upon as a random variable having a beta distribution with α= 2 and β = 9,
Find the solution to the following system of linear equations: Solve the following absolute value inequality: ½ |x - 2|
Calculate the percentage of students who score between 550 and 650.
Calculate the average rate of change.
Given f(x)=x^3 on [0,1] and the partition P={0,1/8,1/3,2/3,1}, find four different Riemann sums R(f,P). Show that Chi_Q is discontinuous at every point where Chi_Q is the characteristic function for Q - Rational numbers.
Difference and relationship between correlation and determination as it applies to linear regression analysis
An estimated 8% of men and O.5% of women are colorblind. If a colorblind person is selected at random, what is the probability that the person is a man?
Compute students at UNR score higher than students at TMCC.
Heat Equation Problem, Find the solution u(x,t) of the heat equation: with initial data u(x,0) = x
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