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Question Number 50558    Answers: 0   Comments: 0

thanks sir

$$\mathrm{thanks}\:\mathrm{sir} \\ $$

Question Number 50553    Answers: 0   Comments: 2

find the area of triangle given P(x_1 ,y_1 ) Q(x_2 ,y_2 ) and R(x_3 ,y_3 )

$$\boldsymbol{\mathrm{find}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{area}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{triangle}}\:\boldsymbol{\mathrm{given}} \\ $$$$\boldsymbol{\mathrm{P}}\left(\boldsymbol{{x}}_{\mathrm{1}} ,\boldsymbol{{y}}_{\mathrm{1}} \right)\:\boldsymbol{\mathrm{Q}}\left(\boldsymbol{{x}}_{\mathrm{2}} ,\boldsymbol{{y}}_{\mathrm{2}} \right)\:\boldsymbol{\mathrm{and}}\:\boldsymbol{\mathrm{R}}\left(\boldsymbol{{x}}_{\mathrm{3}} ,\boldsymbol{{y}}_{\mathrm{3}} \right) \\ $$

Question Number 50551    Answers: 1   Comments: 0

find the real root of x−(x^3 /3)+(x^5 /(10))−(x^7 /(42))+(x^9 /(216))−(x^(11) /(1320))+……=.443 please if any simple expansion of it then plz tell me

$${find}\:{the}\:{real}\:{root}\:{of} \\ $$$${x}−\frac{{x}^{\mathrm{3}} }{\mathrm{3}}+\frac{{x}^{\mathrm{5}} }{\mathrm{10}}−\frac{{x}^{\mathrm{7}} }{\mathrm{42}}+\frac{{x}^{\mathrm{9}} }{\mathrm{216}}−\frac{{x}^{\mathrm{11}} }{\mathrm{1320}}+\ldots\ldots=.\mathrm{443} \\ $$$${please}\:{if}\:{any}\:{simple}\:{expansion}\:{of}\:{it} \\ $$$${then}\:{plz}\:{tell}\:{me} \\ $$$$ \\ $$

Question Number 50549    Answers: 1   Comments: 0

3(x−3)+5=4x−(x+4) sir plz help me

$$\mathrm{3}\left(\mathrm{x}−\mathrm{3}\right)+\mathrm{5}=\mathrm{4x}−\left(\mathrm{x}+\mathrm{4}\right) \\ $$$$\mathrm{sir}\:\mathrm{plz}\:\mathrm{help}\:\mathrm{me} \\ $$$$ \\ $$

Question Number 50547    Answers: 2   Comments: 0

Question Number 50519    Answers: 3   Comments: 0

Question Number 50511    Answers: 1   Comments: 0

refer to question #50278 (√(a+(√(a−x))))+(√(a−(√(a+x))))=2x

$${refer}\:{to}\:{question}\:#\mathrm{50278} \\ $$$$\sqrt{{a}+\sqrt{{a}−{x}}}+\sqrt{{a}−\sqrt{{a}+{x}}}=\mathrm{2}{x} \\ $$

Question Number 50466    Answers: 0   Comments: 4

∫ ((cos (2t))/t^3 ) dt = ....

$$\: \\ $$$$\int\:\frac{\mathrm{cos}\:\left(\mathrm{2}{t}\right)}{{t}^{\mathrm{3}} }\:{dt}\:=\:.... \\ $$

Question Number 50460    Answers: 2   Comments: 2

Question Number 50453    Answers: 0   Comments: 3

Question Number 50451    Answers: 2   Comments: 0

how can i derive a formula to calculate the speed of an electron in n^(th) orbit of a hydrogen atom?

$${how}\:{can}\:{i}\:{derive}\:{a}\:{formula}\:{to}\:{calculate}\:{the}\:{speed}\:{of}\:{an}\:{electron} \\ $$$${in}\:{n}^{{th}} \:{orbit}\:{of}\:{a}\:{hydrogen}\:{atom}? \\ $$

Question Number 50450    Answers: 0   Comments: 0

how many trips can a bird moving in 120m/s make between two trains which are initially 120m apart and moving in 60m/s to each other?

$${how}\:{many}\:{trips}\:{can}\:{a}\:{bird}\:{moving}\:{in}\:\mathrm{120}{m}/{s}\:{make} \\ $$$${between}\:{two}\:{trains}\:{which}\:{are}\:{initially}\:\mathrm{120}{m}\:{apart}\:{and} \\ $$$${moving}\:{in}\:\mathrm{60}{m}/{s}\:{to}\:{each}\:{other}? \\ $$$$ \\ $$

Question Number 50446    Answers: 0   Comments: 2

Question Number 50445    Answers: 1   Comments: 1

The roots of the fallowing functions are the Sequences of arithmetic progressiyon f(x)=x^5 −20x^4 +ax^3 +bx^2 +cx+24 f(8)=?

$$\boldsymbol{\mathrm{The}}\:\:\boldsymbol{\mathrm{roots}}\:\:\boldsymbol{\mathrm{of}}\:\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{fallowing}} \\ $$$$\boldsymbol{\mathrm{functions}}\:\:\boldsymbol{\mathrm{are}}\:\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{Sequences}}\:\:\boldsymbol{\mathrm{of}} \\ $$$$\boldsymbol{\mathrm{arithmetic}}\:\:\boldsymbol{\mathrm{progressiyon}} \\ $$$$\boldsymbol{\mathrm{f}}\left(\boldsymbol{\mathrm{x}}\right)=\boldsymbol{\mathrm{x}}^{\mathrm{5}} −\mathrm{20}\boldsymbol{\mathrm{x}}^{\mathrm{4}} +\boldsymbol{\mathrm{ax}}^{\mathrm{3}} +\boldsymbol{\mathrm{bx}}^{\mathrm{2}} +\boldsymbol{\mathrm{cx}}+\mathrm{24} \\ $$$$\boldsymbol{\mathrm{f}}\left(\mathrm{8}\right)=? \\ $$

Question Number 50442    Answers: 1   Comments: 2

Question Number 50439    Answers: 0   Comments: 1

prof Abdo please limit the input of question... here it is flood...

$${prof}\:{Abdo}\:{please}\:{limit}\:{the}\:{input}\:{of}\:{question}... \\ $$$${here}\:{it}\:{is}\:{flood}... \\ $$

Question Number 50433    Answers: 0   Comments: 0

find all function f C^2 onR / f(x)+∫_0 ^x (x−t)f(t)dt =1 ∀ x∈R .

$${find}\:{all}\:{function}\:{f}\:\:{C}^{\mathrm{2}} \:{onR}\:/ \\ $$$${f}\left({x}\right)+\int_{\mathrm{0}} ^{{x}} \left({x}−{t}\right){f}\left({t}\right){dt}\:=\mathrm{1}\:\forall\:{x}\in{R}\:. \\ $$

Question Number 50432    Answers: 1   Comments: 1

solve x(x^2 −1)y^′ +2y =x^2

$${solve}\:{x}\left({x}^{\mathrm{2}} −\mathrm{1}\right){y}^{'} \:+\mathrm{2}{y}\:={x}^{\mathrm{2}} \\ $$

Question Number 50431    Answers: 1   Comments: 1

solve xy^′ +y =((2x)/(√(1−x^4 )))

$${solve}\:{xy}^{'} \:+{y}\:=\frac{\mathrm{2}{x}}{\sqrt{\mathrm{1}−{x}^{\mathrm{4}} }} \\ $$

Question Number 50430    Answers: 0   Comments: 1

solve (x^2 +3)y^′ +(x^3 −1)y =x^2

$${solve}\:\left({x}^{\mathrm{2}} \:+\mathrm{3}\right){y}^{'} \:+\left({x}^{\mathrm{3}} −\mathrm{1}\right){y}\:={x}^{\mathrm{2}} \\ $$

Question Number 50429    Answers: 0   Comments: 2

solve y^(′′) +e^x^2 y =0

$${solve}\:{y}^{''} \:+{e}^{{x}^{\mathrm{2}} } {y}\:=\mathrm{0} \\ $$

Question Number 50428    Answers: 0   Comments: 0

solve y^′ +((2x+1)/(x(x^2 +1))) y = (1/(x−1))

$${solve}\:{y}^{'} \:+\frac{\mathrm{2}{x}+\mathrm{1}}{{x}\left({x}^{\mathrm{2}} \:+\mathrm{1}\right)}\:{y}\:=\:\frac{\mathrm{1}}{{x}−\mathrm{1}} \\ $$

Question Number 50427    Answers: 0   Comments: 2

let I_n (λ) =∫_0 ^π ((vos(nt))/(1−2λcost +λ^2 ))dt 1)calculate I_0 (λ) and I_1 (λ) 2) find relation between I_(n−1) ,I_n and I_(n+1) 3) calculate I_n (λ).

$${let}\:{I}_{{n}} \left(\lambda\right)\:=\int_{\mathrm{0}} ^{\pi} \:\:\frac{{vos}\left({nt}\right)}{\mathrm{1}−\mathrm{2}\lambda{cost}\:+\lambda^{\mathrm{2}} }{dt} \\ $$$$\left.\mathrm{1}\right){calculate}\:{I}_{\mathrm{0}} \left(\lambda\right)\:{and}\:{I}_{\mathrm{1}} \left(\lambda\right) \\ $$$$\left.\mathrm{2}\right)\:{find}\:{relation}\:{between}\:{I}_{{n}−\mathrm{1}} ,{I}_{{n}} \:{and}\:{I}_{{n}+\mathrm{1}} \\ $$$$\left.\mathrm{3}\right)\:{calculate}\:{I}_{{n}} \left(\lambda\right). \\ $$

Question Number 50426    Answers: 2   Comments: 0

study the convergence of U_n =((2/π) ∫_0 ^(π/2) (sinx)^(1/n) )^n

$${study}\:{the}\:{convergence}\:{of}\: \\ $$$${U}_{{n}} =\left(\frac{\mathrm{2}}{\pi}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \left({sinx}\right)^{\frac{\mathrm{1}}{{n}}} \right)^{{n}} \\ $$

Question Number 50425    Answers: 0   Comments: 0

find ∫_0 ^∞ ((sin^4 (t))/t^3 ) dt

$${find}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{sin}^{\mathrm{4}} \left({t}\right)}{{t}^{\mathrm{3}} }\:{dt} \\ $$

Question Number 50424    Answers: 0   Comments: 0

convergence and calculate ∫_0 ^1 ((ln(t))/((1+t)(√(1−t^2 ))))dt

$${convergence}\:{and}\:{calculate}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\:\frac{{ln}\left({t}\right)}{\left(\mathrm{1}+{t}\right)\sqrt{\mathrm{1}−{t}^{\mathrm{2}} }}{dt} \\ $$

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