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Mathematics : Recent Questions and Answers (Page 108)

Find answers to your questions about Mathematics or help others by answering their Mathematics questions.

Convergence of Bernoulli distribution using Central Limit Theorem

while I was studying the Central Limit theorem, this problem showed up: If $0<p = 1-q < 1$ and $x > 0$, then$$sum_{k in K}...

Asked on 03/04/2021 by big_GolfUniformIndia

1 answer

Example where an inverse function does not equal the elements

I'm trying to find an example of a function $f: A to B$ and $X subset A$ so that $f^{-1}(f(X)) ne X$, and similarly where $Y...

Asked on 03/04/2021 by MC5555

2 answer

$int frac{(e^z)}{z-pi i} dz$, if C is the ellipse |z - 2| + |z+2| = 6

$$oint_{C} frac{e^z}{z-pi i} mathrm dz$$If $C$ is the ellipse $|z - 2| + |z+2| = 6$, how is it $0$? I can find the singular...

Asked on 03/04/2021 by dip

2 answer

Finding the volume of a region using spherical coordinates

I am trying to find the volume of the region bounded by $z=0, z=y^2, x=-1, x=1, y=-1, y=1$ using spherical coordinates. I realize that I don't need spherical coordinates...

Asked on 03/03/2021 by rmdnusr

0 answer

Derive Greens function 1D heat equation with space dependent material parameters

Can someone confirm the correctness of my derivation or see where the mistake is? I want to derive the Greens function for the 1D heat equation with ('general') SPACE DEPENDENT...

Asked on 03/02/2021

0 answer

Sketch the solid described by the given inequalities.

Sketch the solid described by the following inequalities.$r^2 le z le 8-r^2$$0 le theta le pi/2,$ and $r le z le 2$.I'm not sure how to aproach this....

Asked on 03/02/2021 by 2316354654

1 answer

Nonlinear ODE with discontinuous dynamic

Let $G^+,G^-in mathcal{C}^1(mathbb{R}^n,mathbb{R}^n)$, and we define the following ODE : where $mathbb{R}^n=Acup Sigmacup B$, $A,B$ are two open sets and $Sigma$ is the hyperplane separating ...

Asked on 03/01/2021 by BrianTag

0 answer

Finding matrices whose multiplication does not change the trace

Let $C$ be an $ntimes n$ matrix. Then find matrices $A$ of size $n times n$ such that $trace(AC)=trace(C)$. One obvious choice for $A$...

Asked on 03/01/2021 by hitesh

2 answer

Find the Laurent Series expansion for $displaystyle{f(z) = ze^{1/(z-1)}}$ valid for $left|z-1right|> 0$

Can you help me and discuss me on the question? Expand $displaystyle{f(z) = ze^{1/(z-1)}}$ in a Laurent series valid for $displaystyle{left|z-1right|> 0}$. I have no idea anything about...

Asked on 03/01/2021 by Ariana Tibor

1 answer

Central Limit Theorem and Lightbulbs

"Suppose I have lightbulbs that have a lifetime which is exponentially distributed with an average lifespan of 5 years. Each time a bulb dies, it is replaced with an another...

Asked on 03/01/2021 by Maksymilian5275

1 answer

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