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AllQuestion and Answers: Page 319

Question Number 189980    Answers: 1   Comments: 0

Question Number 189977    Answers: 1   Comments: 0

Question Number 189976    Answers: 2   Comments: 0

Question Number 189975    Answers: 1   Comments: 0

Question Number 189973    Answers: 3   Comments: 4

Question Number 189971    Answers: 1   Comments: 0

Question Number 189970    Answers: 1   Comments: 0

Question Number 189965    Answers: 3   Comments: 0

Question Number 190021    Answers: 0   Comments: 0

Find: lim_(n→∞) H_n (Σ_(k=1) ^n (1/(n+k)) -Σ_(k=1) ^n cot^(-1) (n+k))

$$\mathrm{Find}: \\ $$$$\underset{\boldsymbol{\mathrm{n}}\rightarrow\infty} {\mathrm{lim}}\:\mathrm{H}_{\boldsymbol{\mathrm{n}}} \:\left(\underset{\boldsymbol{\mathrm{k}}=\mathrm{1}} {\overset{\boldsymbol{\mathrm{n}}} {\sum}}\:\frac{\mathrm{1}}{\mathrm{n}+\mathrm{k}}\:-\underset{\boldsymbol{\mathrm{k}}=\mathrm{1}} {\overset{\boldsymbol{\mathrm{n}}} {\sum}}\:\mathrm{cot}^{-\mathrm{1}} \:\left(\mathrm{n}+\mathrm{k}\right)\right) \\ $$

Question Number 190019    Answers: 1   Comments: 3

Question Number 189952    Answers: 2   Comments: 0

(√2) sin(x) +cos(x)= −(√2)

$$\sqrt{\mathrm{2}}\:\mathrm{sin}\left(\mathrm{x}\right)\:+\mathrm{cos}\left(\mathrm{x}\right)=\:−\sqrt{\mathrm{2}}\: \\ $$

Question Number 189949    Answers: 1   Comments: 0

Question Number 189942    Answers: 1   Comments: 0

Question Number 189941    Answers: 2   Comments: 0

Question Number 189940    Answers: 0   Comments: 0

Question Number 189937    Answers: 0   Comments: 0

Question Number 189932    Answers: 0   Comments: 0

Question Number 189925    Answers: 2   Comments: 1

Question Number 189923    Answers: 1   Comments: 0

∫(dx/(a + btanx))

$$\int\frac{{dx}}{{a}\:+\:{btanx}} \\ $$

Question Number 189921    Answers: 2   Comments: 2

Question Number 189919    Answers: 1   Comments: 0

If x,y are real numbers satisfy ((x+40)/y)+((569)/(xy))=((26−y)/x) , then xy=?

$$\:{If}\:{x},{y}\:{are}\:{real}\:{numbers}\:{satisfy} \\ $$$$\:\frac{{x}+\mathrm{40}}{{y}}+\frac{\mathrm{569}}{{xy}}=\frac{\mathrm{26}−{y}}{{x}}\:,\:{then}\:{xy}=? \\ $$

Question Number 189958    Answers: 0   Comments: 0

solve y′′′−y′′−y=sect (−(π/2)<x<(π/2))

$$\boldsymbol{\mathrm{solve}}\:\boldsymbol{\mathrm{y}}'''−\boldsymbol{{y}}''−{y}={sect}\:\:\:\:\:\:\:\:\left(−\frac{\pi}{\mathrm{2}}<{x}<\frac{\pi}{\mathrm{2}}\right) \\ $$

Question Number 189955    Answers: 1   Comments: 0

Question Number 189916    Answers: 2   Comments: 0

when sinx×cosx=−(1/4) find sinx+cosx=?

$$\mathrm{when}\:\:\:\:\mathrm{sinx}×\mathrm{cosx}=−\frac{\mathrm{1}}{\mathrm{4}} \\ $$$$\mathrm{find}\:\:\:\:\:\:\:\mathrm{sinx}+\mathrm{cosx}=? \\ $$

Question Number 189901    Answers: 2   Comments: 0

Question Number 189899    Answers: 1   Comments: 0

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