Tutor profile: Nikolaos D.
Find synonyms for these words: κακός, όμορφος, μάτι, χάρακας, τόπι
κακός = μοχθηρός όμορφος = ωραίος μάτι = οφθαλμός χάρακας = κανόνας τόπι = μπάλα
Subject: Agricultural Science
Name the Genus and Species of two plant species you want that their scientific name have Greek or Latin roots. From what greek or latin words do they come from and what do they mean?
1) Ailanthus altissima: Altissima is the superlative form of alta, that is the feminine word of high in Latin. 2) Commersonia dasyphylla: Dasyphylla is a compound word, coming from the words "dasys" (δασύς) that means hairy/dense, and phylla<phyllon (φύλλον) that means leaf.
i) Prove that (a+b)^2 - (a-b)^2= 4ab ii) Calculate A = (999/1000+1000/999)^2 - (999/1000-1000/999)^2
i) Due to difference of two squares identity we have: (a+b)^2 - (a-b)^2 = [(a+b)+(a-b)]*[(a+b)-(a-b)]=2a*2b=4ab ii) Due to (i) we have: A = (999/1000+1000/999)^2 - (999/1000-1000/999)^2 = 4*(999/1000)*(1000/999) = 4*1 = 4
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