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Question Number 161697 Answers: 1 Comments: 0

Question Number 161687 Answers: 1 Comments: 0

nature of the integral ∫_0 ^1 (1/(t^2 (√(1−t))))dt

$${nature}\:{of}\:{the}\:{integral} \\ $$$$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{1}}{{t}^{\mathrm{2}} \sqrt{\mathrm{1}−{t}}}{dt} \\ $$

Question Number 161675 Answers: 1 Comments: 0

{ ((2x−y−e^(−x) =0)),((−x+2y−e^(−y) =0)) :} { ((x=?)),((y=?)) :}

$$\:\:\begin{cases}{\mathrm{2}{x}−{y}−{e}^{−{x}} =\mathrm{0}}\\{−{x}+\mathrm{2}{y}−{e}^{−{y}} =\mathrm{0}}\end{cases} \\ $$$$\:\begin{cases}{{x}=?}\\{{y}=?}\end{cases} \\ $$

Question Number 161671 Answers: 2 Comments: 1

Question Number 161666 Answers: 1 Comments: 4

if ((g(5)f(5))/(g(5)+f(5)))=1 then((f(4)+g(4))/(f(4)+1))=? when is Gis a I function and F is a constant

$${if}\:\:\frac{{g}\left(\mathrm{5}\right){f}\left(\mathrm{5}\right)}{{g}\left(\mathrm{5}\right)+{f}\left(\mathrm{5}\right)}=\mathrm{1}\:\:\:{then}\frac{{f}\left(\mathrm{4}\right)+{g}\left(\mathrm{4}\right)}{{f}\left(\mathrm{4}\right)+\mathrm{1}}=? \\ $$$${when}\:{is}\:\:\:\:\:{Gis}\:{a}\:{I}\:{function}\:\:{and}\:{F}\:{is}\:{a}\:{constant} \\ $$

Question Number 161665 Answers: 0 Comments: 0

nature de ∫_o ^1 (1/(t^2 (√(1−t))))dt

$${nature}\:{de} \\ $$$$\int_{{o}} ^{\mathrm{1}} \frac{\mathrm{1}}{{t}^{\mathrm{2}} \sqrt{\mathrm{1}−{t}}}{dt} \\ $$

Question Number 161664 Answers: 1 Comments: 0

5sec α −4 tan α = 3cosec α ((3cot α)/(5 tan α−4 sec α)) =?

$$\:\:\mathrm{5sec}\:\alpha\:−\mathrm{4}\:\mathrm{tan}\:\alpha\:=\:\mathrm{3cosec}\:\alpha \\ $$$$\:\:\frac{\mathrm{3cot}\:\alpha}{\mathrm{5}\:\mathrm{tan}\:\alpha−\mathrm{4}\:\mathrm{sec}\:\alpha}\:=?\: \\ $$

Question Number 161660 Answers: 3 Comments: 0

∫_0 ^(π/4) ln(1+(√2)cos(x))dx=???

$$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} \boldsymbol{{ln}}\left(\mathrm{1}+\sqrt{\mathrm{2}}\boldsymbol{{cos}}\left(\boldsymbol{{x}}\right)\right)\boldsymbol{{dx}}=??? \\ $$

Question Number 161656 Answers: 1 Comments: 3

∫_0 ^1 ((xln(1+x))/(1+x^2 ))dx

$$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\boldsymbol{{xln}}\left(\mathrm{1}+\boldsymbol{{x}}\right)}{\mathrm{1}+\boldsymbol{{x}}^{\mathrm{2}} }\boldsymbol{{dx}} \\ $$

Question Number 161652 Answers: 0 Comments: 0

∫_0 ^( 1) ((xlog(a+x))/(1+x^2 ))dx ∀ ∣a∣ ∈ N

$$\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{\mathrm{xlog}\left(\mathrm{a}+\mathrm{x}\right)}{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }\mathrm{dx}\:\forall\:\mid\mathrm{a}\mid\:\in\:\mathbb{N} \\ $$

Question Number 161703 Answers: 2 Comments: 1

(1)∫ ((sin x−cos x)/( (√(sin 2x)))) dx (2) ∫_0 ^( π/2) cos 7x cos 17x cos 37x dx

$$\left(\mathrm{1}\right)\int\:\frac{\mathrm{sin}\:{x}−\mathrm{cos}\:{x}}{\:\sqrt{\mathrm{sin}\:\mathrm{2}{x}}}\:{dx} \\ $$$$\left(\mathrm{2}\right)\:\int_{\mathrm{0}} ^{\:\pi/\mathrm{2}} \mathrm{cos}\:\mathrm{7}{x}\:\mathrm{cos}\:\mathrm{17}{x}\:\mathrm{cos}\:\mathrm{37}{x}\:{dx} \\ $$

Question Number 161646 Answers: 0 Comments: 0

Question Number 161644 Answers: 0 Comments: 2

there is no single greater than symbol the closest to such a symbol is ≪ or ≫ when is tinku tara going to add the single arrow its a very common symbol and should be on this keyboard

$$\: \\ $$$$\:\:\mathrm{there}\:\mathrm{is}\:\mathrm{no}\:\mathrm{single}\:\mathrm{greater}\:\mathrm{than}\:\mathrm{symbol}\:\: \\ $$$$\:\mathrm{the}\:\mathrm{closest}\:\mathrm{to}\:\mathrm{such}\:\mathrm{a}\:\mathrm{symbol}\:\mathrm{is}\:\ll\:\mathrm{or}\:\gg\:\: \\ $$$$\:\mathrm{when}\:\mathrm{is}\:\mathrm{tinku}\:\mathrm{tara}\:\mathrm{going}\:\mathrm{to}\:\mathrm{add}\:\mathrm{the}\:\mathrm{single}\:\mathrm{arrow}\:\: \\ $$$$\:\mathrm{its}\:\mathrm{a}\:\mathrm{very}\:\mathrm{common}\:\mathrm{symbol}\:\mathrm{and}\:\mathrm{should}\:\mathrm{be}\:\mathrm{on}\:\mathrm{this}\:\mathrm{keyboard}\:\: \\ $$$$\: \\ $$$$\: \\ $$

Question Number 161629 Answers: 0 Comments: 0

Question Number 161626 Answers: 3 Comments: 1

Question Number 161668 Answers: 1 Comments: 0

Question Number 161623 Answers: 2 Comments: 0

Σ_(n=1) ^∞ (((−1)^(n+1) )/(n(n+2)))=?

$$\underset{\boldsymbol{{n}}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{\boldsymbol{{n}}+\mathrm{1}} }{\boldsymbol{{n}}\left(\boldsymbol{{n}}+\mathrm{2}\right)}=? \\ $$

Question Number 161622 Answers: 1 Comments: 0

Σ_(n=1) ^∞ (((−1)^(n+1) )/(n(2n+1)))=?

$$\underset{\boldsymbol{{n}}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{\boldsymbol{{n}}+\mathrm{1}} }{\boldsymbol{{n}}\left(\mathrm{2}\boldsymbol{{n}}+\mathrm{1}\right)}=? \\ $$

Question Number 161617 Answers: 2 Comments: 0

Question Number 161612 Answers: 2 Comments: 0

lim_(x→0^+ ) ((cos (√x)))^(1/x) =?

$$\:\:\underset{{x}\rightarrow\mathrm{0}^{+} } {\mathrm{lim}}\:\sqrt[{{x}}]{\mathrm{cos}\:\sqrt{{x}}}\:=? \\ $$

Question Number 161609 Answers: 0 Comments: 0

∫_0 ^1 ((xln(1+x^4 ))/(1+x^2 ))dx=?

$$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\boldsymbol{{xln}}\left(\mathrm{1}+\boldsymbol{{x}}^{\mathrm{4}} \right)}{\mathrm{1}+\boldsymbol{{x}}^{\mathrm{2}} }\boldsymbol{{dx}}=? \\ $$$$ \\ $$

Question Number 161590 Answers: 2 Comments: 0

f(x)=(1/(1−(√x))) + (1/(1−(√(1−x)))) f(x)_(min) = ?

$${f}\left({x}\right)=\frac{\mathrm{1}}{\mathrm{1}−\sqrt{{x}}}\:+\:\frac{\mathrm{1}}{\mathrm{1}−\sqrt{\mathrm{1}−\boldsymbol{{x}}}} \\ $$$$\boldsymbol{{f}}\left(\boldsymbol{{x}}\right)_{\boldsymbol{{min}}} =\:? \\ $$

Question Number 161586 Answers: 2 Comments: 2

lim_(x→2^− ) ((2−2cos (√(x−2)))/((x−2)^2 )) =?

$$\:\:\underset{{x}\rightarrow\mathrm{2}^{−} } {\mathrm{lim}}\:\frac{\mathrm{2}−\mathrm{2cos}\:\sqrt{{x}−\mathrm{2}}}{\left({x}−\mathrm{2}\right)^{\mathrm{2}} }\:=? \\ $$

Question Number 161583 Answers: 3 Comments: 1

lim_(x→2) ((1−sin (π/x))/(x^2 −4x+4)) =? lim_(x→2) ((x^3 −8+sin πx)/(2−x))=? lim_(x→1) ((x^2 −1)/(cos ((π/(x+1)))))=?

$$\:\:\underset{{x}\rightarrow\mathrm{2}} {\mathrm{lim}}\:\frac{\mathrm{1}−\mathrm{sin}\:\frac{\pi}{{x}}}{{x}^{\mathrm{2}} −\mathrm{4}{x}+\mathrm{4}}\:=? \\ $$$$\:\underset{{x}\rightarrow\mathrm{2}} {\mathrm{lim}}\:\frac{{x}^{\mathrm{3}} −\mathrm{8}+\mathrm{sin}\:\pi{x}}{\mathrm{2}−{x}}=? \\ $$$$\:\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\:\frac{{x}^{\mathrm{2}} −\mathrm{1}}{\mathrm{cos}\:\left(\frac{\pi}{{x}+\mathrm{1}}\right)}=? \\ $$

Question Number 161578 Answers: 1 Comments: 1

Question Number 161579 Answers: 1 Comments: 1

A gardener wishes to make a rectangular hen run of area 128m² against a wall which is to serve as one of the boundaries. Find the length of the wire netting required for the other three sides

$$ \\ $$A gardener wishes to make a rectangular hen run of area 128m² against a wall which is to serve as one of the boundaries. Find the length of the wire netting required for the other three sides

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