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For the metric space { N }, the set of all natural numbers, characterize whether or not it has the following properties: compact, totally bounded, has the Heine-Borel property, complete.
For compact, we are to show that every sequence converges. For totally bounded, we are to show that it can be covered by finitely many sets of diameter less than epsilon. For Heine-Borel, we are to show there is a finite subcover. And for completeness, we are to show that each Cauchy sequence converges.
We are not allowed to use the fact that compactness implies completeness, etc. We can use definitions only.
Row reduce the given matrix to educed echelon form. Circle the pivot positions in the final matrix and in the original matrix, and list the pivot columns.
do you think there is a correlation between ceo salaries and the degree of success of a company? if you were to take a
What changes might you make to save money on your total car expenses?
Determine whether these vectors are linearly independent or dependent.
Find the interval(s) on which f(x) increases, given that f(x) = x3 - 12x + 1. Find the interval(s) on which f(x) increases, given that f(X) =- 2x (25x2 + 75 + 72).
Calculating minimum/maximum value.
Find the value of n such that the expression is a perfect square trinomial, then factor it. Solve the equation by completing the square and applying the square root property
What is the necessary condition for the following fraction to be valid? What value(s) of "x" that cannot be used in this fraction?
I believe that it does not work because we are using first order trig which assumes symmetry . Please comment on this assumption and or why it does not work
I will be demonstrating how to evaluate and create a two- variable inequality. This means there are two different variables included into an inequality.
To make x thousand computer chips requires fixed expenditures of $352 plus $42 per thousand chips. Receipts from the sale of x thousand chips amount to $130 per thousand.
How are addition and multiplication used to solve a linear equation?
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