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This number system is an extension of the real number system. Any polynomial equation has n complex roots, in general, in the complex number system. For example, the equation x2 + 1 = 0 has no real roots, but it has two complex roots given by +I and -I, where I is the "imaginary unit" given by the "square root" of -1. The complex number system is an extension of the real number system, just as the real number system is an extension of the rational numbers (numbers of the form of a ratio of two integers). Would you say that imaginary numbers really "exist"? What about, for that matter, the irrational numbers, which complete the real number system? (The ancient Greeks were surprised to find out that the square root of two is an irrational number, and that not all numbers can be expressed as the ratio of two integers.)
Calculate the probability that the rent of a randomly selected unit.
Archimedes principal of buoancy states that an object submerged in a fluid is buoyed up by a force equal to the weight of the fluid the object displaces.
The table list data - Average Salaries of Athletes in 1991 and 2001. Use the data points to find a linear function that fits the data and then use the function to predict the average salary in 2005 and 2010.
Probability Based on Order and Random Selection, Four couples, each consisting of one man and one woman, are seated at a circular table. Assuming that each different order is equally likely,
Compute the test value
Verify the Gauss' Divergence Theorem and Calculate the single, double and line integral - MATH2000 Find the surface area of S.
Express the volume of this region as a single triple integral in rectangular coordinates and Express this integral in terms of one or more integrals in the order dz dx dy.
Calculate the sample regression line, where sales is the dependent variable and selling expenses and price are the independent variable.
Show that if @:R -> S is a ring homomorphism, then the ker(@) is an ideal of R and that @ is injective if.
Demand for pools. Tropical Pools sells an aboveground model for p dollars each. The monthly revenue for this model is given by the formula R(p)=0.08p2 +300p.
Calculate the result from the given survey of voters - Evaluate the standard deviation from the range (i.e., use the range rule of thumb).
In the following case, state if the following set of vectors are linearly independent or linearly dependent. Justify your answer.
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