Problem 1 of 1
Webb11 apr. 2024 · The problem reads as follows: 1. For each of the following functions, decide which are bounded above or below on the indicated interval, and which take on their maximum or minimum value. (Notice that f might have these properties even if f is not continuous, and even if the interval is not a closed interval.) (vi) f ( x) = { x 2, x < a a + 2, x ... http://emathchallenge.net/
Problem 1 of 1
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Webb22 sep. 2024 · This problem is simply stated, easily understood, and all too inviting. Just pick a number, any number: If the number is even, cut it in half; if it’s odd, triple it and add 1. Take that new number and repeat the process, again and again. If you keep this up, you’ll eventually get stuck in a loop. At least, that’s what we think will happen. Webb28 dec. 2024 · The function above looks like a repeating triangle with width 2π, and height pi.For -π≤x≤π, this function returns the absolute value of x.It is also clearly ‘periodic’, as the graph repeats. Now, we are going to claim that for functions which are ‘periodic’ and ‘smooth enough’, like our function above, we can represent them as the (infinite) sum of …
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Webb3 juni 2010 · 3n + 1 = (2^l) *k with k = 2j+1 for some positive integers, j and l. This must be true always for Collatz sequence to continue indefinitely. Thus, 3n+1 is always a multiple of 2 which I assumed. Webb11 apr. 2024 · Around 1 in 5 adults, or 21%, said they had personally been threatened by a gun, while 19% said they had a family member who was killed by a gun. Of those …
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