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Question: 1. Show that ℵ0 · ℵ0 = ℵ0.
2. What should ℵ2 mean?
3. What is the cardinality of the subset of [0,1] consisting of infinite decimal expansions with only the digits 2 and 5?
4. What is the cardinality of the set {1/k | k ∈ N}?
5. What is the cardinality of the set {P/Q | p,q ∈ N}?
The copper content of a plating bath is measured three times per day, and the results are reported in ppm. Theand r values for 25 days are shown.
Two balls are drawn in succession out of a box containing 5 red and 2 white balls. The balls are drawn without replacement. What is the probability that both balls drawn are red?
a dealer offers a computer software program whose list price is 500 at a 19% discount. she will give an extra 3% discount if paid in cash. what is the selling price if payment is made in cash?
Choose one of the non-Euclidean geometries discussed in this module and describe it, as best as you can, to someone who is not good in the subject of mathematics.
Find the acute angles between the curves at their points of intersection. (The angle between two curves is the angle between their tangent lines at the point.
Find the unit tangent vector T(t). r(t) = t2i + tj +4k , P(9, 3, 4) Find a set of parametric equations for the line tangent to the space curve at point P.
A group of friends decided to rent a vacation home for a week. They each paid $70 towards the rent. If three more friends had joined them, the cost per person would have been reduced by $14. How many friends went on the trip?
Determine the exchange table for this economy, where the columns describe how the output of each sector is exchanged among the three sectors
Improving the productivity of chickens. Farmers have discovered that more domestic chickens peck at objects placed in their environment, the healthier and more productive the chickens seem to be. White string has been found to be a particularly at..
How many employees by type does the clinic currently need? How many employees by type will the clinic need if it signs the contract for pre-employment physicals
Task: Apply curve-fitting techniques and interpret the results. As such, your work will include doing scatterplots, determining the equation and graph of the curve on the scatterplot, finding the r^2 value,
A surveyor standing 50 meters from the base of a building measures the angle to the top of the building and finds it to be 35°. The surveyor then measures the angle to the top of the radio tower on the building and finds that it is 48°. How tall i..
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