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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 226509 Answers: 1 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 226386 Answers: 1 Comments: 4

Question Number 226375 Answers: 2 Comments: 1

Question Number 226372 Answers: 2 Comments: 1

Question Number 226366 Answers: 1 Comments: 0

compute the double integral ∫_(y=0) ^1 ∫_(x=0) ^2 x^2 dxdy and ∫_(y=0) ^1 ∫_(x=0) ^2 y^2 dxdy

$$\boldsymbol{\mathrm{compute}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{double}}\:\boldsymbol{\mathrm{integral}} \\ $$$$\int_{\boldsymbol{\mathrm{y}}=\mathrm{0}} ^{\mathrm{1}} \int_{\boldsymbol{\mathrm{x}}=\mathrm{0}} ^{\mathrm{2}} \boldsymbol{\mathrm{x}}^{\mathrm{2}} \boldsymbol{\mathrm{dxdy}}\:\boldsymbol{\mathrm{and}}\:\:\int_{\boldsymbol{\mathrm{y}}=\mathrm{0}} ^{\mathrm{1}} \int_{\boldsymbol{\mathrm{x}}=\mathrm{0}} ^{\mathrm{2}} \boldsymbol{\mathrm{y}}^{\mathrm{2}} \boldsymbol{\mathrm{dxdy}} \\ $$$$ \\ $$

Question Number 226362 Answers: 1 Comments: 0

Question Number 226371 Answers: 0 Comments: 0

calculate the volume of a sphere using double integral

$${calculate}\:{the}\:{volume}\:{of}\:{a}\:{sphere} \\ $$$${using}\:{double}\:{integral} \\ $$

Question Number 226340 Answers: 0 Comments: 0

Question Number 226322 Answers: 0 Comments: 2

Question Number 226338 Answers: 1 Comments: 0

Question Number 226339 Answers: 1 Comments: 0

Question Number 226334 Answers: 2 Comments: 2

Question Number 226336 Answers: 0 Comments: 0

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