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1. Describe (in words) two different sets of people containing you as a member. Describe (in words) the complement of each set. Describe what people are not in either the original set or the complement set.
2. Using the same two sets you described in problem 2, describe (in words) the new set formed by joining the two sets together. Is the new set called the union of the original sets, the intersection of the original sets, or neither? Explain.
Systems of equations can be solved by four methods: graphing, substitution, elimination or with matrices. Which method do you prefer when solving a system of equations?
Write the equation of the line which has y-intercept (0, 5) and is perpendicular to the line with equation y = -3x + 1.
Solve the quadratic equation using any of the techniques learned in this unit. The solution(s) will be one of the dimensions; use step 2 to find the other.
Find the gross income before taxes
The cost per pound of each chemical and amount of each active ingredient in 1 pound of each chemical are given above. It is necessary that at least 100 pound of chemical 2 be used
Solution of an inequality with absolute value expression
A school is being designed with three identical building-wide fire alarm systems. The reliability of each fire alarm systems is 0.995.
What is the difference between an equation and an expression? Include an example of each. Can you solve for a variable in an expression?
Find the solution for x
What is diagonalisation of a matrix? Describe how diagonalisation helps to solve systems of linear differential equations.
if it is known that determinant of A, det(A) = alpha*delta - beta*gamma > 0, and that the trace of A, Tr(A) = alpha + delta
Use mathematical induction to show that a rectangular checkerboard with an even number of cells and two cells missing, one white and one black, can be covered by dominoes.
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