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Question Number 49358 Answers: 1 Comments: 0

Question Number 49357 Answers: 2 Comments: 1

Question Number 49356 Answers: 1 Comments: 1

Question Number 49355 Answers: 1 Comments: 0

Question Number 49354 Answers: 3 Comments: 0

Question Number 49344 Answers: 1 Comments: 1

let α>0 calculate ∫_(−∞) ^(+∞) (1+αi)^(−x^2 ) dx .

$${let}\:\alpha>\mathrm{0}\:{calculate}\:\int_{−\infty} ^{+\infty} \:\left(\mathrm{1}+\alpha{i}\right)^{−{x}^{\mathrm{2}} } {dx}\:. \\ $$

Question Number 49343 Answers: 0 Comments: 1

find ∫_0 ^1 ((ln(x))/(1+x))dx .

$${find}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\frac{{ln}\left({x}\right)}{\mathrm{1}+{x}}{dx}\:. \\ $$

Question Number 49342 Answers: 0 Comments: 0

find ∫_0 ^1 (e^x /(1+x))dx .

$${find}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\frac{{e}^{{x}} }{\mathrm{1}+{x}}{dx}\:. \\ $$

Question Number 49340 Answers: 0 Comments: 0

Question Number 49333 Answers: 0 Comments: 0

Question Number 49331 Answers: 1 Comments: 2

Find : arg( (((2(√3)+2i)^8 )/((1−i)^6 )) + (((1+i)^6 )/((2(√3)−2i)^8 ))) ?

$${Find}\:: \\ $$$${arg}\left(\:\frac{\left(\mathrm{2}\sqrt{\mathrm{3}}+\mathrm{2}{i}\right)^{\mathrm{8}} }{\left(\mathrm{1}−{i}\right)^{\mathrm{6}} }\:\:+\:\frac{\left(\mathrm{1}+{i}\right)^{\mathrm{6}} }{\left(\mathrm{2}\sqrt{\mathrm{3}}−\mathrm{2}{i}\right)^{\mathrm{8}} }\right)\:? \\ $$

Question Number 49326 Answers: 0 Comments: 0

please help me! { ((u_1 =a, u_2 =b)),((u_(n+2) =3(u_(n+1) )^(1/5) +13(u_n )^(1/5) ,n∈N^∗ )) :} show that (u_n ) have limit and find its limit.

$$\mathrm{please}\:\mathrm{help}\:\mathrm{me}! \\ $$$$\begin{cases}{\mathrm{u}_{\mathrm{1}} ={a},\:\mathrm{u}_{\mathrm{2}} =\mathrm{b}}\\{\mathrm{u}_{\mathrm{n}+\mathrm{2}} =\mathrm{3}\sqrt[{\mathrm{5}}]{\mathrm{u}_{\mathrm{n}+\mathrm{1}} }+\mathrm{13}\sqrt[{\mathrm{5}}]{\mathrm{u}_{\mathrm{n}} }\:,\mathrm{n}\in\mathbb{N}^{\ast} }\end{cases} \\ $$$$\mathrm{show}\:\mathrm{that}\:\left(\mathrm{u}_{\mathrm{n}} \right)\:\mathrm{have}\:\mathrm{limit}\:\mathrm{and}\:\mathrm{find}\: \\ $$$$\mathrm{its}\:\mathrm{limit}. \\ $$

Question Number 49337 Answers: 0 Comments: 0

Question Number 49299 Answers: 3 Comments: 3

Question Number 49296 Answers: 2 Comments: 0

Question Number 49298 Answers: 4 Comments: 0

Question Number 49294 Answers: 1 Comments: 0

Question Number 49283 Answers: 1 Comments: 0

Question Number 49280 Answers: 1 Comments: 3

Question Number 49272 Answers: 2 Comments: 0

ZεC satisfies the condition ∣Z∣≥3. Then find the least value of ∣Z+(1/Z)∣ ?

$${Z}\epsilon\mathbb{C}\:{satisfies}\:{the}\:{condition}\:\mid{Z}\mid\geqslant\mathrm{3}. \\ $$$${Then}\:{find}\:{the}\:{least}\:{value}\:{of}\:\mid{Z}+\frac{\mathrm{1}}{{Z}}\mid\:? \\ $$

Question Number 49279 Answers: 2 Comments: 1

Question Number 49256 Answers: 2 Comments: 0

Question Number 49253 Answers: 2 Comments: 0

Question Number 49252 Answers: 1 Comments: 0

Question Number 49251 Answers: 5 Comments: 1

Question Number 49250 Answers: 1 Comments: 0

Apply derivative criteria F(x)=x^3 +5x^2 −2x+3

$${Apply}\:{derivative}\:{criteria} \\ $$$${F}\left({x}\right)={x}^{\mathrm{3}} +\mathrm{5}{x}^{\mathrm{2}} −\mathrm{2}{x}+\mathrm{3} \\ $$

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