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Category: Relation and Functions

let-give-a-sequence-of-real-numbets-positif-a-i-1-i-n-1-prove-that-i-1-n-a-i-2-n-i-1-n-a-i-2-2-let-put-H-n-k-1-n-1-k-and-w-n-H-n-2-n-prove-that-the-sequence-

Question Number 33847 by prof Abdo imad last updated on 26/Apr/18 letgiveasequenceofrealnumbetspositif(ai)1in$$\left.\mathrm{1}\right)\:{prove}\:{that}\:\left(\sum_{{i}=\mathrm{1}} ^{{n}} \:{a}_{{i}} \right)^{\mathrm{2}} \leqslant\:{n}\:\sum_{{i}=\mathrm{1}} ^{{n}} \:{a}_{{i}} ^{\mathrm{2}} \

Let-f-D-R-be-defined-as-f-x-x-2-2x-a-x-2-4x-3a-where-D-and-R-denote-the-domain-of-f-and-the-set-of-all-real-numbers-respectively-If-f-is-surjective-mapping-then-the-range-of-a-is

Question Number 33815 by rahul 19 last updated on 25/Apr/18 Letf:DRbedefinedasf(x)=x2+2x+ax2+4x+3awhereDandRdenotethedomainoffandthesetofallrealnumbersrespectively.Iffissurjectivemappingthentherangeofais?$$\left.{a}\right)\:\mathrm{0}\leqslant{a}\leqslant\mathrm{1}…