6. Show that the half open interval [0, 2) is uncountable. (Hint: We know that (0, 2) is uncount- able. Write [0, 2) = (0, 2) U {0}, and use some theorems)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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Chapter6: Applications Of The Derivative
Section6.2: Applications Of Extrema
Problem 1YT: Find two nonnegative number x and y for which x+3y=30, such that x2y is maximized.
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6. Show that the half open interval (0, 2) is uncountable. (Hint: We know that (0, 2) is uncount-
able. Write [0, 2) = (0,2) U {0}, and use some theorems)
Transcribed Image Text:6. Show that the half open interval (0, 2) is uncountable. (Hint: We know that (0, 2) is uncount- able. Write [0, 2) = (0,2) U {0}, and use some theorems)
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