Question and Answers Forum

All Questions   Topic List

AllQuestion and Answers: Page 546

Question Number 164242    Answers: 0   Comments: 0

Question Number 164240    Answers: 2   Comments: 0

Find: Σ_(n=1) ^∞ ln (n) = ?

$$\mathrm{Find}:\:\:\:\underset{\boldsymbol{\mathrm{n}}=\mathrm{1}} {\overset{\infty} {\sum}}\:\mathrm{ln}\:\left(\mathrm{n}\right)\:=\:? \\ $$

Question Number 164237    Answers: 1   Comments: 0

Question Number 164236    Answers: 2   Comments: 1

Question Number 164231    Answers: 0   Comments: 0

∫_(−∞) ^∞ −(1/3) ∫_0 ^1 ((((^4 log 3.^4 log 6)/( ^4 log 9.^8 log 2+^4 log 9.^8 log 3))/((^9 log 4.^2 log27+^3 log 81)/(^2 log 64−^2 log 8))))dxdy {z.}

$$\int_{−\infty} ^{\infty} \:−\frac{\mathrm{1}}{\mathrm{3}}\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\left(\frac{\frac{\:^{\mathrm{4}} \boldsymbol{\mathrm{log}}\:\mathrm{3}.^{\mathrm{4}} \boldsymbol{\mathrm{log}}\:\mathrm{6}}{\:\:^{\mathrm{4}} \boldsymbol{\mathrm{log}}\:\mathrm{9}.^{\mathrm{8}} \boldsymbol{\mathrm{log}}\:\mathrm{2}+\:^{\mathrm{4}} \boldsymbol{\mathrm{log}}\:\mathrm{9}.^{\mathrm{8}} \boldsymbol{\mathrm{log}}\:\mathrm{3}}}{\frac{\:^{\mathrm{9}} \boldsymbol{\mathrm{log}}\:\mathrm{4}.^{\mathrm{2}} \boldsymbol{\mathrm{log}}\mathrm{27}+^{\mathrm{3}} \boldsymbol{\mathrm{log}}\:\mathrm{81}}{\:^{\mathrm{2}} \boldsymbol{\mathrm{log}}\:\mathrm{64}−^{\mathrm{2}} \boldsymbol{\mathrm{log}}\:\mathrm{8}}}\right)\boldsymbol{\mathrm{dxdy}} \\ $$$$\left\{\boldsymbol{\mathrm{z}}.\right\} \\ $$

Question Number 164227    Answers: 2   Comments: 0

Question Number 164222    Answers: 0   Comments: 0

Question Number 164211    Answers: 1   Comments: 0

Question Number 164210    Answers: 1   Comments: 0

Question Number 164208    Answers: 0   Comments: 0

Question Number 164206    Answers: 2   Comments: 5

Question Number 164457    Answers: 1   Comments: 0

((20)/(10))=2(0/(10))=>((20)/(10))=0 why?

$$\frac{\mathrm{20}}{\mathrm{10}}=\mathrm{2}\frac{\mathrm{0}}{\mathrm{10}}=>\frac{\mathrm{20}}{\mathrm{10}}=\mathrm{0}\:\:\:\:\:{why}? \\ $$

Question Number 164196    Answers: 1   Comments: 0

Evalute the sum: Σ_(k=1) ^n k ((π/n))^2 arctan (((kπ)/n))^2

$$\mathrm{Evalute}\:\mathrm{the}\:\mathrm{sum}: \\ $$$$\underset{\boldsymbol{\mathrm{k}}=\mathrm{1}} {\overset{\boldsymbol{\mathrm{n}}} {\sum}}\:\mathrm{k}\:\left(\frac{\pi}{\mathrm{n}}\right)^{\mathrm{2}} \mathrm{arctan}\:\left(\frac{\mathrm{k}\pi}{\mathrm{n}}\right)^{\mathrm{2}} \\ $$

Question Number 164193    Answers: 2   Comments: 2

Question Number 164191    Answers: 1   Comments: 0

Question Number 164189    Answers: 0   Comments: 1

Question Number 164188    Answers: 0   Comments: 0

Question Number 164187    Answers: 0   Comments: 0

Question Number 164178    Answers: 2   Comments: 1

Question Number 164177    Answers: 1   Comments: 0

x+(1/x)=3 (x/( (√x)+1))=?

$${x}+\frac{\mathrm{1}}{{x}}=\mathrm{3} \\ $$$$\frac{{x}}{\:\sqrt{{x}}+\mathrm{1}}=? \\ $$

Question Number 164176    Answers: 2   Comments: 0

Question Number 164174    Answers: 1   Comments: 1

Question Number 164171    Answers: 1   Comments: 0

∫ (dx/(1+x^(10) ))

$$\int\:\frac{{dx}}{\mathrm{1}+{x}^{\mathrm{10}} } \\ $$

Question Number 164163    Answers: 2   Comments: 0

Prove the; ∫_(−∞) ^∞ (1/(1 + x^2 )) dx = 𝛑 ^({Z.A})

$$\mathrm{Prove}\:\mathrm{the}; \\ $$$$\int_{−\infty} ^{\infty} \:\frac{\mathrm{1}}{\mathrm{1}\:+\:\boldsymbol{{x}}^{\mathrm{2}} }\:\boldsymbol{{dx}}\:=\:\boldsymbol{\pi} \\ $$$$\:^{\left\{\mathrm{Z}.\mathrm{A}\right\}} \\ $$

Question Number 164162    Answers: 0   Comments: 5

Prove the; (tan 𝛂 + ((cos 𝛂)/(1 + sin 𝛂))) sin 𝛂 = 𝛂 ^([Z.A])

$$\mathrm{Prove}\:\mathrm{the}; \\ $$$$\left(\boldsymbol{{tan}}\:\boldsymbol{\alpha}\:+\:\frac{\boldsymbol{{cos}}\:\boldsymbol{\alpha}}{\mathrm{1}\:+\:\boldsymbol{{sin}}\:\boldsymbol{\alpha}}\right)\:\boldsymbol{{sin}}\:\boldsymbol{\alpha}\:=\:\boldsymbol{\alpha} \\ $$$$\:^{\left[\mathrm{Z}.\mathrm{A}\right]} \\ $$

Question Number 164157    Answers: 0   Comments: 0

let a;b;c≥0 and ab+bc+ca+2abc≥1 find min - value of S S = (√(a + 1)) + (√(b + 1)) + (√(c + 1))

$$\mathrm{let}\:\:\mathrm{a};\mathrm{b};\mathrm{c}\geqslant\mathrm{0}\:\:\mathrm{and}\:\:\mathrm{ab}+\mathrm{bc}+\mathrm{ca}+\mathrm{2abc}\geqslant\mathrm{1} \\ $$$$\mathrm{find}\:\boldsymbol{\mathrm{min}}\:-\:\mathrm{value}\:\mathrm{of}\:\boldsymbol{\mathrm{S}} \\ $$$$\boldsymbol{\mathrm{S}}\:=\:\sqrt{\mathrm{a}\:+\:\mathrm{1}}\:+\:\sqrt{\mathrm{b}\:+\:\mathrm{1}}\:+\:\sqrt{\mathrm{c}\:+\:\mathrm{1}} \\ $$

  Pg 541      Pg 542      Pg 543      Pg 544      Pg 545      Pg 546      Pg 547      Pg 548      Pg 549      Pg 550   

Terms of Service

Privacy Policy

Contact: info@tinkutara.com