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Question Number 185371    Answers: 1   Comments: 0

(1−z)(1−z^− ) = ? Where z is the complex number .

$$\left(\mathrm{1}−\mathrm{z}\right)\left(\mathrm{1}−\overset{−} {\mathrm{z}}\right)\:=\:? \\ $$$$\mathrm{Where}\:\mathrm{z}\:\mathrm{is}\:\mathrm{the}\:\mathrm{complex}\:\mathrm{number} \\ $$$$ \\ $$$$. \\ $$

Question Number 185884    Answers: 0   Comments: 0

Question Number 185361    Answers: 1   Comments: 0

Question Number 185354    Answers: 2   Comments: 0

Question Number 185350    Answers: 0   Comments: 1

C_4 ^4 +C_4 ^5 +C_4 ^6 +...+C_4 ^(26) =?

$$\:\:\:{C}_{\mathrm{4}} ^{\mathrm{4}} +{C}_{\mathrm{4}} ^{\mathrm{5}} +{C}_{\mathrm{4}} ^{\mathrm{6}} +...+{C}_{\mathrm{4}} ^{\mathrm{26}} \:=? \\ $$

Question Number 185348    Answers: 1   Comments: 0

Question Number 185743    Answers: 0   Comments: 0

Question Number 185346    Answers: 0   Comments: 0

Question Number 185337    Answers: 1   Comments: 0

Question Number 185336    Answers: 0   Comments: 0

Question Number 185330    Answers: 1   Comments: 0

what is the difference between d^2 x and (dx)^2

$${what}\:{is}\:{the}\:{difference}\:{between} \\ $$$${d}^{\mathrm{2}} {x}\:{and}\:\left({dx}\right)^{\mathrm{2}} \\ $$

Question Number 185329    Answers: 2   Comments: 0

lim_(k→+∞) Σ_(i=1) ^k (1/( (√(i−1))+(√i)))=

$${lim}_{{k}\rightarrow+\infty} \underset{{i}=\mathrm{1}} {\overset{{k}} {\sum}}\frac{\mathrm{1}}{\:\sqrt{{i}−\mathrm{1}}+\sqrt{{i}}}= \\ $$

Question Number 185328    Answers: 1   Comments: 0

lim_(k→+∞) Σ_(i=1) ^k (1/( (√i)))=

$${lim}_{{k}\rightarrow+\infty} \underset{{i}=\mathrm{1}} {\overset{{k}} {\sum}}\frac{\mathrm{1}}{\:\sqrt{{i}}}= \\ $$

Question Number 185325    Answers: 2   Comments: 0

Question Number 185324    Answers: 1   Comments: 0

Question Number 185320    Answers: 2   Comments: 0

Question Number 185426    Answers: 1   Comments: 0

Question Number 185424    Answers: 1   Comments: 5

Question Number 185423    Answers: 1   Comments: 0

Σ_(r=1) ^n 3^(r−1) sin^3 ((θ/3^r )) = ?

$$\underset{{r}=\mathrm{1}} {\overset{{n}} {\sum}}\mathrm{3}^{{r}−\mathrm{1}} {sin}^{\mathrm{3}} \left(\frac{\theta}{\mathrm{3}^{{r}} }\right)\:=\:? \\ $$

Question Number 185422    Answers: 2   Comments: 0

Question Number 185420    Answers: 1   Comments: 1

Question Number 185315    Answers: 2   Comments: 0

Solve the equation: x! = x^2 − 3x + 20

$$\mathrm{Solve}\:\mathrm{the}\:\mathrm{equation}: \\ $$$$\mathrm{x}!\:=\:\mathrm{x}^{\mathrm{2}} \:−\:\mathrm{3x}\:+\:\mathrm{20} \\ $$

Question Number 185310    Answers: 1   Comments: 1

Question Number 185294    Answers: 0   Comments: 3

x^2 −2^x = 1 x= ?

$$\:\:\:\boldsymbol{\mathrm{x}}^{\mathrm{2}} \:−\mathrm{2}^{\boldsymbol{\mathrm{x}}} \:=\:\mathrm{1} \\ $$$$\:\:\:\:\:\boldsymbol{\mathrm{x}}=\:? \\ $$

Question Number 185293    Answers: 1   Comments: 2

Σ_(k=1) ^n (1/( (√(k+n))))

$$\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\frac{\mathrm{1}}{\:\sqrt{{k}+{n}}} \\ $$

Question Number 185284    Answers: 1   Comments: 0

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