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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

Question Number 185283 Answers: 1 Comments: 0

Question Number 185278 Answers: 1 Comments: 3

Show that f(z)=z^2 is harmonic in polar form

$$\mathrm{Show}\:\mathrm{that}\:\mathrm{f}\left(\mathrm{z}\right)=\mathrm{z}^{\mathrm{2}} \:\mathrm{is}\:\mathrm{harmonic}\:\mathrm{in} \\ $$$$\mathrm{polar}\:\mathrm{form} \\ $$

Question Number 185271 Answers: 1 Comments: 0

Question Number 185270 Answers: 1 Comments: 0

Question Number 185269 Answers: 2 Comments: 0

Question Number 185268 Answers: 0 Comments: 0

Question Number 185257 Answers: 3 Comments: 0

Question Number 185245 Answers: 1 Comments: 1

Show that f(z)=z^2 is uniformly continous in the region ∣z∣<R where 0<R<∞. Help!

$$\mathrm{Show}\:\mathrm{that}\:\mathrm{f}\left(\mathrm{z}\right)=\mathrm{z}^{\mathrm{2}} \:\mathrm{is}\:\mathrm{uniformly} \\ $$$$\mathrm{continous}\:\mathrm{in}\:\mathrm{the}\:\mathrm{region}\:\mid\mathrm{z}\mid<\mathrm{R} \\ $$$$\mathrm{where}\:\mathrm{0}<\mathrm{R}<\infty. \\ $$$$ \\ $$$$ \\ $$$$\mathrm{Help}! \\ $$

Question Number 185243 Answers: 1 Comments: 3

Using ε−δ approach prove that lim_(z→i) ((3z^4 −2z^3 +8z^2 −2z+5)/(z−i))=4+4i Help!

$$\mathrm{Using}\:\varepsilon−\delta\:\mathrm{approach}\:\mathrm{prove}\:\mathrm{that} \\ $$$$\mathrm{li}\underset{\mathrm{z}\rightarrow\mathrm{i}} {\mathrm{m}}\frac{\mathrm{3z}^{\mathrm{4}} −\mathrm{2z}^{\mathrm{3}} +\mathrm{8z}^{\mathrm{2}} −\mathrm{2z}+\mathrm{5}}{\mathrm{z}−\mathrm{i}}=\mathrm{4}+\mathrm{4i} \\ $$$$ \\ $$$$\mathrm{Help}! \\ $$

Question Number 185239 Answers: 0 Comments: 3

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