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Recall that an element a is called algebraic over a ring (or field) R if a is the root of some polynomial in R[x].
Is the element a = 2/5 + i/3, (R= the integers) algebraic over the ring (or field) R? If so, give a polynomial in R[x] which has a as a root.
The graph of a quadratic function (a parabola) has x-intercepts -1 and 3 and a range consisting of numbers less than or equal to 4. Determine an expression for the function.
Suppose that f_n(0) converges to some number, denoted f(0), and also suppose that the sequence (f'_n) converges uniformly on (0,1) to some function g: (0,1) -> R. Prove that the sequence (f_n) converges uniformly. What is its limit?
Use critical value z0 method from the normal distribution
Describe two main differences between classical and empirical probabilities. Gather coins you find around your home or in your pocket or purse. You will need an even number of coins (any denomination) between 16 and 30. You do not need more than t..
You are managing a small assembly operation building toy cars. Due to increased demand, you need to hire an employee in addition to the two that are already building this line of toy assemblies. For the questions below, show all your work in deriv..
The strategy that maximizes the campus bookstore earnings.
Write the equation of the trend line. Do the scores support an increasing or a decreasing trend?
Simulation of an expectation. Design a simulation exercise in R to approximate the value of E ( X^X) when X has a U [0,1] distribution. Plot the value of the approximation as the sample size goes from 1 to 10,000
The relation between the dependent & the independent variables & the strength of the relationship. Also test to see if the estimates are significant.
Find the unit price and profit functions.
A recipe uses two eggs, three cups of flour & some other ingredients. The recipe makes enough batter for 6 servings. How many cups of flour will be needed to make enough batter for ten servings?
Mutually Exclusive events, Probabilities, and Binomial Distribution. Use the frequency distribution below to answer questions 13-17. The number of school-related extracurricular activities per student.
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