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AllQuestion and Answers: Page 353

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

Question Number 185236    Answers: 0   Comments: 1

Question Number 185231    Answers: 3   Comments: 0

Question Number 185229    Answers: 1   Comments: 0

Question Number 185224    Answers: 2   Comments: 0

Question Number 185222    Answers: 2   Comments: 0

A ball falls from a height of 10m and lands on the ground 75% of each time it falls, it gets up again; of the What is the total distance traveled by the ball? (a) 35m b) 40m c) 70m d) 75m

$$ \\ $$A ball falls from a height of 10m and lands on the ground 75% of each time it falls, it gets up again; of the What is the total distance traveled by the ball? (a) 35m b) 40m c) 70m d) 75m

Question Number 185213    Answers: 0   Comments: 0

Question Number 185212    Answers: 0   Comments: 0

Question Number 185211    Answers: 3   Comments: 0

Question Number 185210    Answers: 3   Comments: 2

x=((x^2 +1)/(α+1)) x=?

$${x}=\frac{{x}^{\mathrm{2}} +\mathrm{1}}{\alpha+\mathrm{1}}\:\:\:\:\:\:\:\:\:\:{x}=? \\ $$

Question Number 185209    Answers: 2   Comments: 0

Question Number 185206    Answers: 0   Comments: 1

Question Number 185204    Answers: 1   Comments: 1

1+(1/(2+(1/(3+(1/(4+(1/⋱)))))))=???

$$\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}+\frac{\mathrm{1}}{\mathrm{3}+\frac{\mathrm{1}}{\mathrm{4}+\frac{\mathrm{1}}{\ddots}}}}=??? \\ $$

Question Number 185203    Answers: 2   Comments: 0

Question Number 185198    Answers: 0   Comments: 2

Question Number 185192    Answers: 0   Comments: 2

Question Number 185191    Answers: 1   Comments: 0

y = sin (1/x) ⇒ y^′ = ?

$$\mathrm{y}\:=\:\mathrm{sin}\:\frac{\mathrm{1}}{\mathrm{x}}\:\:\Rightarrow\:\:\mathrm{y}^{'} \:=\:? \\ $$

Question Number 185190    Answers: 0   Comments: 0

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