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Question Number 226538 Answers: 0 Comments: 0

Question Number 226536 Answers: 1 Comments: 0

If (x+(2a^2 +5))(x−(2a^2 +7)) ≤ 0 x∈[−(a^2 +8a−10) ; (a^2 +9a−11)] Find: a = ?

$$\mathrm{If}\:\:\:\left(\mathrm{x}+\left(\mathrm{2a}^{\mathrm{2}} +\mathrm{5}\right)\right)\left(\mathrm{x}−\left(\mathrm{2a}^{\mathrm{2}} +\mathrm{7}\right)\right)\:\leqslant\:\mathrm{0} \\ $$$$\:\:\:\:\:\:\:\mathrm{x}\in\left[−\left(\mathrm{a}^{\mathrm{2}} +\mathrm{8a}−\mathrm{10}\right)\:;\:\left(\mathrm{a}^{\mathrm{2}} +\mathrm{9a}−\mathrm{11}\right)\right] \\ $$$$\mathrm{Find}:\:\boldsymbol{\mathrm{a}}\:=\:? \\ $$

Question Number 226533 Answers: 0 Comments: 0

Question Number 226534 Answers: 0 Comments: 1

Question Number 226526 Answers: 1 Comments: 0

Question Number 226525 Answers: 2 Comments: 0

Question Number 226524 Answers: 1 Comments: 0

Question Number 226515 Answers: 2 Comments: 2

Question Number 226514 Answers: 1 Comments: 0

Question Number 226513 Answers: 2 Comments: 0

Find gcd(a^2 +ab+b^2 ,ab) if gcd(a,b)=1

$${Find}\:{gcd}\left({a}^{\mathrm{2}} +{ab}+{b}^{\mathrm{2}} ,{ab}\right)\:{if}\:{gcd}\left({a},{b}\right)=\mathrm{1} \\ $$

Question Number 226507 Answers: 1 Comments: 0

Question Number 226509 Answers: 2 Comments: 0

Find: Σ_(n=1) ^∞ (1/(n∙(2n + 1)^2 )) = ?

$$\mathrm{Find}:\:\:\:\underset{\boldsymbol{\mathrm{n}}=\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{\mathrm{1}}{\mathrm{n}\centerdot\left(\mathrm{2n}\:+\:\mathrm{1}\right)^{\mathrm{2}} }\:=\:? \\ $$

Question Number 226486 Answers: 2 Comments: 3

Question Number 226485 Answers: 1 Comments: 0

Question Number 226471 Answers: 2 Comments: 2

If, x^2 +2y^2 ∞xy then prove that, 2x^2 +y^2 ∞xy

$$\:{If},\:{x}^{\mathrm{2}} +\mathrm{2}{y}^{\mathrm{2}} \infty{xy}\: \\ $$$$\:\:{then}\:{prove}\:{that},\:\mathrm{2}{x}^{\mathrm{2}} +{y}^{\mathrm{2}} \infty{xy} \\ $$

Question Number 226469 Answers: 2 Comments: 1

Question Number 226464 Answers: 0 Comments: 2

Question Number 226455 Answers: 1 Comments: 0

Question Number 226453 Answers: 1 Comments: 3

Question Number 226447 Answers: 1 Comments: 1

Question Number 226442 Answers: 1 Comments: 1

Question Number 226409 Answers: 2 Comments: 0

Question Number 226401 Answers: 4 Comments: 6

most hated trigonometric problem: sin( (π/7))sin (((2π)/7))sin (((3π)/7))=?

$${most}\:{hated}\:{trigonometric} \\ $$$${problem}: \\ $$$$\mathrm{sin}\left(\:\frac{\pi}{\mathrm{7}}\right)\mathrm{sin}\:\left(\frac{\mathrm{2}\pi}{\mathrm{7}}\right)\mathrm{sin}\:\left(\frac{\mathrm{3}\pi}{\mathrm{7}}\right)=? \\ $$

Question Number 226400 Answers: 0 Comments: 0

Prove klein bottle is Immersion but klein bottle can′t Imbedding in R^3 Space

$$\mathrm{Prove}\:\mathrm{klein}\:\mathrm{bottle}\:\mathrm{is}\:\mathrm{Immersion} \\ $$$$\mathrm{but}\:\mathrm{klein}\:\mathrm{bottle}\:\mathrm{can}'\mathrm{t}\:\mathrm{Imbedding}\:\mathrm{in}\:\mathbb{R}^{\mathrm{3}} \:\mathrm{Space}\: \\ $$

Question Number 226386 Answers: 1 Comments: 4

Question Number 226384 Answers: 1 Comments: 0

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