Question and Answers Forum

All Questions   Topic List

AllQuestion and Answers: Page 352

Question Number 174779    Answers: 1   Comments: 2

Question Number 174776    Answers: 1   Comments: 0

Question Number 174775    Answers: 1   Comments: 0

Question Number 174770    Answers: 1   Comments: 0

āˆ«(((sinx)/( (āˆšx))))dx Mastermind

$$\int\left(\frac{\mathrm{sinx}}{\:\sqrt{\mathrm{x}}}\right)\mathrm{dx} \\ $$$$ \\ $$$$\mathrm{Mastermind} \\ $$

Question Number 174769    Answers: 2   Comments: 0

Question Number 174767    Answers: 1   Comments: 0

Question Number 174766    Answers: 0   Comments: 0

Q: by using fourier series, prove that : š›€=Ī£_(n=1) ^āˆž (((āˆ’1)^( nāˆ’1) )/((2nāˆ’1 )^( 3) )) = (š›‘^( 3) /(32)) āˆ’āˆ’āˆ’āˆ’āˆ’āˆ’

$$ \\ $$$$\:\:\:\:{Q}:\:\:{by}\:{using}\:{fourier}\:{series}, \\ $$$$\:\:\:\:\:\:{prove}\:\:{that}\:: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\boldsymbol{\Omega}=\underset{\boldsymbol{{n}}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\left(āˆ’\mathrm{1}\right)^{\:\boldsymbol{{n}}āˆ’\mathrm{1}} }{\left(\mathrm{2}\boldsymbol{{n}}āˆ’\mathrm{1}\:\right)^{\:\mathrm{3}} }\:=\:\frac{\boldsymbol{\pi}^{\:\mathrm{3}} }{\mathrm{32}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:āˆ’āˆ’āˆ’āˆ’āˆ’āˆ’ \\ $$

Question Number 174765    Answers: 0   Comments: 0

Question Number 174763    Answers: 2   Comments: 0

Question Number 174758    Answers: 1   Comments: 3

where am i wrong ?

$${where}\:{am}\:{i}\:{wrong}\:?\: \\ $$$$ \\ $$

Question Number 174755    Answers: 0   Comments: 1

Question Number 174754    Answers: 0   Comments: 0

Question Number 174751    Answers: 0   Comments: 0

Question Number 174742    Answers: 0   Comments: 0

ā‰Ŗ_ā€¢ ^ā€¢ I THINK...^ ^(āˆ’) _ā€¢^ā€¢ _(āˆ’) ā‰« One question per post, IDEAL šŸ‘šŸ‘šŸ‘ Two questions per post,OK (BEARABLE) (šŸ‘Ž+šŸ‘)/2 Three or more questions:NO, NO, NO! šŸ‘ŽšŸ‘ŽšŸ‘Ž

$$\:\:\:\:\:\ll_{\bullet} ^{\bullet} \underset{āˆ’} {\overline {\boldsymbol{\mathrm{I}}\:\boldsymbol{\mathrm{THINK}}...^{} }}\:_{\bullet} ^{\bullet} \gg \\ $$$$\boldsymbol{\mathrm{One}}\:\boldsymbol{\mathrm{question}}\:\boldsymbol{\mathrm{per}}\:\boldsymbol{\mathrm{post}},\:\boldsymbol{\mathrm{IDEAL}} \\ $$šŸ‘šŸ‘šŸ‘ $$\boldsymbol{\mathrm{Two}}\:\boldsymbol{\mathrm{questions}}\:\boldsymbol{\mathrm{per}}\:\boldsymbol{\mathrm{post}},\boldsymbol{\mathrm{OK}}\:\left(\boldsymbol{\mathrm{BEARABLE}}\right) \\ $$(šŸ‘Ž+šŸ‘)/2 $$\boldsymbol{\mathrm{Three}}\:\boldsymbol{\mathrm{or}}\:\boldsymbol{\mathrm{more}}\:\boldsymbol{\mathrm{questions}}:\boldsymbol{\mathrm{NO}},\:\boldsymbol{\mathrm{NO}},\:\boldsymbol{\mathrm{NO}}! \\ $$šŸ‘ŽšŸ‘ŽšŸ‘Ž

Question Number 174737    Answers: 1   Comments: 0

A graduating student keeps applying for a job until she gets an offer. The probability of getting an offer at any trial is 0.35. What is the expected number of applications?

$$\mathrm{A}\:\mathrm{graduating}\:\mathrm{student}\:\mathrm{keeps}\:\mathrm{applying} \\ $$$$\mathrm{for}\:\mathrm{a}\:\mathrm{job}\:\mathrm{until}\:\mathrm{she}\:\mathrm{gets}\:\mathrm{an}\:\mathrm{offer}.\:\mathrm{The} \\ $$$$\mathrm{probability}\:\mathrm{of}\:\mathrm{getting}\:\mathrm{an}\:\mathrm{offer}\:\mathrm{at}\:\mathrm{any} \\ $$$$\mathrm{trial}\:\mathrm{is}\:\mathrm{0}.\mathrm{35}.\:\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{expected}\: \\ $$$$\mathrm{number}\:\mathrm{of}\:\mathrm{applications}? \\ $$

Question Number 174735    Answers: 0   Comments: 0

Question Number 174732    Answers: 1   Comments: 0

Question Number 174728    Answers: 1   Comments: 3

Question Number 174727    Answers: 1   Comments: 0

āˆ«_0 ^āˆž (e^(āˆ’x^2 ) /((x^2 +a^2 )^2 ))dx

$$\int_{\mathrm{0}} ^{\infty} \frac{{e}^{āˆ’{x}^{\mathrm{2}} } }{\left({x}^{\mathrm{2}} +{a}^{\mathrm{2}} \right)^{\mathrm{2}} }{dx} \\ $$

Question Number 174719    Answers: 1   Comments: 0

Question Number 174715    Answers: 2   Comments: 0

lim_(xā†’āˆž) cos((Ļ€/4))cos((Ļ€/8)) ... cos((Ļ€/2^(n+1) ))

$$\underset{{x}\rightarrow\infty} {\mathrm{lim}cos}\left(\frac{\pi}{\mathrm{4}}\right)\mathrm{cos}\left(\frac{\pi}{\mathrm{8}}\right)\:...\:\mathrm{cos}\left(\frac{\pi}{\mathrm{2}^{{n}+\mathrm{1}} }\right)\: \\ $$

Question Number 174709    Answers: 1   Comments: 3

Question Number 174708    Answers: 1   Comments: 1

Question Number 174696    Answers: 3   Comments: 0

prove that : š›€ = āˆ«_0 ^( āˆž) ( (( x)/( sinh (x))) )^( 3) dx =(š›‘^( 2) /(16)) (12āˆ’ š›‘^( 2) ) written and prepared by : m.n

$$ \\ $$$$\:\:\:\:\:\boldsymbol{{prove}}\:\:\boldsymbol{{that}}\:: \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\boldsymbol{\Omega}\:=\:\int_{\mathrm{0}} ^{\:\infty} \left(\:\frac{\:\boldsymbol{{x}}}{\:\boldsymbol{{sinh}}\:\left(\boldsymbol{{x}}\right)}\:\right)^{\:\mathrm{3}} \boldsymbol{{dx}}\:=\frac{\boldsymbol{\pi}^{\:\mathrm{2}} }{\mathrm{16}}\:\left(\mathrm{12}āˆ’\:\boldsymbol{\pi}^{\:\mathrm{2}} \right)\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\boldsymbol{{written}}\:\:\boldsymbol{{and}}\:\boldsymbol{{prepared}}\:\boldsymbol{{by}}\::\:\:\boldsymbol{{m}}.\boldsymbol{{n}}\:\:\:\:\:\:\:\: \\ $$$$ \\ $$

Question Number 174689    Answers: 0   Comments: 3

Question Number 174685    Answers: 1   Comments: 0

prove that : Ī© = āˆ«_0 ^( āˆž) (( x^( 2) )/(cosh(x ))) dx = (Ļ€^( 3) /( 8))

$$ \\ $$$$\:\:\:\:\:{prove}\:{that}\:: \\ $$$$\: \\ $$$$\:\:\:\:\:\Omega\:=\:\int_{\mathrm{0}} ^{\:\infty} \frac{\:\:{x}^{\:\mathrm{2}} }{{cosh}\left({x}\:\right)}\:{dx}\:=\:\frac{\pi^{\:\mathrm{3}} }{\:\mathrm{8}} \\ $$$$ \\ $$

  Pg 347      Pg 348      Pg 349      Pg 350      Pg 351      Pg 352      Pg 353      Pg 354      Pg 355      Pg 356   

Terms of Service

Privacy Policy

Contact: info@tinkutara.com