Algebra – Page 546

let-a-b-c-0-and-a-b-c-3-prove-that-a-1-b-3-b-1-c-3-c-1-a-3-0-

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Question Number 162854 by HongKing last updated on 01/Jan/22 $let a; b; c ⩾ 0 and a + b + c = 3 prove that :$ $\frac{a - 1}{\sqrt{b + 3}} + \frac{b - 1}{\sqrt{c + 3}} + \frac{c - 1}{\sqrt{a + 3}} ⩾ 0$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Consider-a-sequence-in-the-form-of-groups-1-2-2-3-3-3-4-4-4-4-5-5-5-5-5-then-the-2000th-term-of-the-above-sequence-is-

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Question Number 31771 by rahul 19 last updated on 14/Mar/18 $C o n s i d e r a s e q u e n c e i n t h e f o r m o f$ $g r o u p s (1), (2, 2), (3, 3, 3), (4, 4, 4, 4),$ $(5, 5, 5, 5, 5), \dots \dots \dots \dots$ $t h e n t h e 2000 t h t e r m o f t h e a b o v e$ $s e q u e n c e i s : ?$ Commented by Joel578 last…

if-sin14-x-then-cos-2-22-cos-2-8-

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Question Number 97306 by Abdulrahman last updated on 07/Jun/20 $if \sin 14 = x$ $then$ $\cos^{2} 22 - \cos^{2} 8 = ?$ Commented by john santu last updated on…

Given-x-1-x-2-x-3-0-y-1-y-2-y-3-0-and-x-1-y-1-x-2-y-2-x-3-y-3-0-The-value-of-x-1-2-x-1-2-x-2-2-x-3-2-y-1-2-y-1-2-y-2-2-y-3-2-

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Question Number 97303 by bobhans last updated on 07/Jun/20 $G iven x_{1} + x_{2} + x_{3} = 0, y_{1} + y_{2} + y_{3} = 0$ $$\mathrm{and}\:\mathrm{x}_{\mathrm{1}} \mathrm{y}_{\mathrm{1}} +\:\mathrm{x}_{\mathrm{2}} \mathrm{y}_{\mathrm{2}} \:+\:\mathrm{x}_{\mathrm{3}} \mathrm{y}_{\mathrm{3}} \:=\:\mathrm{0}\:.\:\mathrm{The}\:\mathrm{value} \…

please-find-the-integral-solutions-x-and-y-xy-7-2-x-2-y-2-

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Question Number 31763 by RAMANUJAN last updated on 14/Mar/18 $p l e a s e f i n d t h e i n t e g r a l s o l u t i o n s (x a n d y)$ ${(x y - 7)}^{2} = x^{2} + y^{2}$ Answered by MJS last updated on 14/Mar/18 $$\left(−\mathrm{7},\mathrm{0}\right) \…

combinatorial-mathematics-In-how-many-subsets-of-10-members-of-the-set-1-2-20-is-there-no-difference-between-two-members-of-5-a-2-10-b-3-5-

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Question Number 162819 by mnjuly1970 last updated on 01/Jan/22 $You can't use 'macro parameter character #' in math mode$ $I n h o w m a n y s u b s e t s o f 10$ $m e m b e r s o f t h e s e t, {1, 2, \dots, 20}$ $i s t h e r e n o d i f f e r e n c e b e t w e e n$ $t w o m e m b e r s o f 5 ?$ $${a}:\:\:\mathrm{2}^{\:\mathrm{10}} \:\:\:\:\:\:{b}\::\:\:\mathrm{3}^{\:\mathrm{5}} \:\:\:\:\:\:\:{c}\::\:\:\:\mathrm{2}^{\:\mathrm{8}} \:\:\:\:\:\:\:\:{d}:\:\:\:\mathrm{10}^{\:\mathrm{4}}…

Question-162814

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Question Number 162814 by amin96 last updated on 01/Jan/22 Answered by MathsFan last updated on 01/Jan/22 $l e t {l o g}_{3} x = u \to x = 3^{u}$ $2^{u} = \sqrt{3^{u}} + 1$ $$\:\mathrm{2}^{{u}} −\sqrt{\mathrm{3}^{{u}}…

Question-97272

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Question Number 97272 by peter frank last updated on 07/Jun/20 Terms of Service Privacy Policy Contact: info@tinkutara.com

Find-0-arctan-x-x-x-2-x-1-dx-

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Question Number 162792 by HongKing last updated on 01/Jan/22 $Find :$ $Ω = \underset{0}{\int^{\infty}} \frac{\arctan (x)}{x \cdot (x^{2} - x + 1)} dx$ Answered by phanphuoc last updated on 01/Jan/22 $${we}\:{have}\:{arctan}\left({x}\right)={arctan}\left({tx}\right)\mid_{\mathrm{0}}…

Let-a-1-1-2-a-k-1-a-k-2-a-k-k-1-then-a-101-is-greater-than-a-1-b-2-c-3-d-4-

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Question Number 31726 by rahul 19 last updated on 13/Mar/18 $L e t a_{1} = \frac{1}{2}, a_{k + 1} = a_{k}^{2} + a_{k} \forall k ⩾ 1 .$ $t h e n a_{101} i s g r e a t e r t h a n$ $a) 1$ $b) 2$ $$\left.{c}\right)\:\mathrm{3}…

Category: Algebra