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AllQuestion and Answers: Page 181

Question Number 203166    Answers: 1   Comments: 0

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Question Number 203159    Answers: 0   Comments: 0

Q202938 the value of x is 15 (Voir reponse develope )

$$\mathrm{Q202938} \\ $$$$\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\boldsymbol{\mathrm{x}}\:\boldsymbol{\mathrm{is}}\:\mathrm{15}\: \\ $$$$\left(\boldsymbol{{Voir}}\:\boldsymbol{{reponse}}\:\boldsymbol{{develope}}\:\right) \\ $$

Question Number 203158    Answers: 3   Comments: 0

1. y = tg^2 x ⇒ y^′ = ? 2. lim_(x→0) ((ln (1 + 2x))/(sin 2x)) = ?

$$\mathrm{1}.\:\mathrm{y}\:=\:\mathrm{tg}^{\mathrm{2}} \:\mathrm{x}\:\:\:\Rightarrow\:\:\:\mathrm{y}^{'} \:=\:? \\ $$$$\mathrm{2}.\:\:\underset{\boldsymbol{\mathrm{x}}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{ln}\:\left(\mathrm{1}\:+\:\mathrm{2x}\right)}{\mathrm{sin}\:\mathrm{2x}}\:=\:? \\ $$

Question Number 203157    Answers: 2   Comments: 0

Question Number 203151    Answers: 1   Comments: 0

Question Number 203149    Answers: 2   Comments: 1

If a^2 + b^2 = 2 Then (√(2a + 7)) + (√(2b + 7)) ≤ 6

$$\mathrm{If}\:\:\:\mathrm{a}^{\mathrm{2}} \:+\:\mathrm{b}^{\mathrm{2}} \:=\:\mathrm{2} \\ $$$$\mathrm{Then}\:\:\:\sqrt{\mathrm{2a}\:+\:\mathrm{7}}\:+\:\sqrt{\mathrm{2b}\:+\:\mathrm{7}}\:\leqslant\:\mathrm{6} \\ $$

Question Number 203146    Answers: 1   Comments: 0

Determine ab^(−) (a>b) such that( ab^(−) +ba^(−) ) and (ab^(−) −ba^(−) ) are both perfect squares.

$$\mathcal{D}{etermine}\:\overline {{ab}}\:\left({a}>{b}\right)\:{such}\:{that}\left(\:\overline {{ab}}+\overline {{ba}}\right)\: \\ $$$${and}\:\left(\overline {{ab}}−\overline {{ba}}\right)\:{are}\:{both}\:{perfect}\:{squares}. \\ $$

Question Number 203144    Answers: 0   Comments: 1

when f(x)= { ((sinx π<x≤2π)),((cosx (π/2)≤x≤π)) :} find f′(2π)=?

$$\mathrm{when}\:\:\:\:\mathrm{f}\left(\mathrm{x}\right)=\begin{cases}{\mathrm{sinx}\:\:\:\:\:\pi<\mathrm{x}\leqslant\mathrm{2}\pi}\\{\mathrm{cosx}\:\:\:\:\:\frac{\pi}{\mathrm{2}}\leqslant\mathrm{x}\leqslant\pi}\end{cases}\:\:\:\:\:\:\:\:\mathrm{find}\:\:{f}'\left(\mathrm{2}\pi\right)=? \\ $$

Question Number 203208    Answers: 0   Comments: 0

Question Number 203207    Answers: 0   Comments: 0

Question Number 203206    Answers: 1   Comments: 0

Question Number 203234    Answers: 0   Comments: 0

Question Number 203232    Answers: 1   Comments: 0

Question Number 203202    Answers: 3   Comments: 0

Question Number 203127    Answers: 0   Comments: 0

Question Number 203104    Answers: 0   Comments: 1

Question Number 203103    Answers: 0   Comments: 0

Question Number 203117    Answers: 3   Comments: 0

Question Number 203115    Answers: 1   Comments: 1

Question Number 203111    Answers: 1   Comments: 2

please solve it ∫[x^(x/2) +e^(xlnx) +(((Π+(√x)ln(x))^2 )/(2ln2(√(x−e^x sin x))))]^2 dx=?

$${please}\:{solve}\:{it} \\ $$$$\int\left[{x}^{\frac{{x}}{\mathrm{2}}} +{e}^{{xlnx}} +\frac{\left(\Pi+\sqrt{{x}}{ln}\left({x}\right)\right)^{\mathrm{2}} }{\mathrm{2}{ln}\mathrm{2}\sqrt{{x}−{e}^{{x}} \mathrm{sin}\:{x}}}\right]^{\mathrm{2}} {dx}=? \\ $$

Question Number 203107    Answers: 1   Comments: 1

Question Number 203090    Answers: 0   Comments: 0

Question Number 203066    Answers: 5   Comments: 0

if p=(x^2 /(x−2))−(x/(1+(2/x)))−(4/(1+(4/x^2 ))) and x−(4/x)=2 then show that (((32)/p))^2 =80

$${if}\:{p}=\frac{{x}^{\mathrm{2}} }{{x}−\mathrm{2}}−\frac{{x}}{\mathrm{1}+\frac{\mathrm{2}}{{x}}}−\frac{\mathrm{4}}{\mathrm{1}+\frac{\mathrm{4}}{{x}^{\mathrm{2}} }}\:\:\:{and}\:{x}−\frac{\mathrm{4}}{{x}}=\mathrm{2} \\ $$$${then}\:{show}\:{that}\:\:\left(\frac{\mathrm{32}}{{p}}\right)^{\mathrm{2}} =\mathrm{80} \\ $$

Question Number 203063    Answers: 1   Comments: 0

Question Number 203062    Answers: 1   Comments: 0

Question Number 203061    Answers: 1   Comments: 0

14∫(1/(x[ln(x)]^3 )) d(x)

$$\mathrm{14}\int\frac{\mathrm{1}}{\mathrm{x}\left[\mathrm{ln}\left(\mathrm{x}\right)\right]^{\mathrm{3}} \:}\:\:\mathrm{d}\left(\mathrm{x}\right) \\ $$

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