Mathematics, 15.04.2020 03:23 alishadautreuil
Given that the human head can contain up to several hundred thousand hairs, with a maximum of about 500,000, prove that in New York City, there are two non-bald people who have the same number of hairs on their head. (b) Given that the main hall at Carnegie seats roughly 2,800, in a packed Carnegie Hall performance, there will be two people who have the same first and last initials. (c) Suppose S is a set of n + 1 integers. Prove that there exist distinct a, b ∈ S such that a − b is a multiple of n.
Answers: 2
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Find the arc length parameter along the given curve from the point where tequals=0 by evaluating the integral s(t)equals=integral from 0 to t startabsolutevalue bold v left parenthesis tau right parenthesis endabsolutevalue d tau∫0tv(τ) dτ. then find the length of the indicated portion of the curve r(t)equals=1010cosine tcost iplus+1010sine tsint jplus+88t k, where 0less than or equals≤tless than or equals≤startfraction pi over 3 endfraction π 3.
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Pepe and leo deposits money into their savings account at the end of the month the table shows the account balances. if there pattern of savings continue and neither earns interest nor withdraw any of the money , how will the balance compare after a very long time ?
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