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Mathematics : Recent Questions and Answers (Page 202)

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

Why is the Volume integration & Surface Area integration of a sphere different?

For both volume & surface area, the sphere is split into many discs and the area or circumference of the discs are summed up in an integral. But the summation...

Asked on 10/01/2020 by Vignesh Sk

1 answer

Let $(X,d)$ be a metric space and $x_0∈X$ be a limit point of $X-{x_0}$

Let $(X,d)$ be a metric space and $x_0∈X$ be a limit point of $X-{x_0}$. Direct the set $X-{x_0}$ by the relation $x ≤ x'$ if...

Asked on 10/01/2020 by Calmat

1 answer

Cross Product of Image of Self-Adjoint Operator

This has been asked before, but I'm trying to prove that if $N: S to S^2$ is a normal Gauss map of a regular surface $S$, then ...

Asked on 09/30/2020 by José Victor Gomes

1 answer

Finding the associated unit eigenvector

Background Find the eigenvalues $λ_1<λ_2$ and two associated unit eigenvectors of the symmetric matrix $$A = begin{bmatrix}-7&12\12&11end{bmatrix}$$ My work so far $$A = begin{bmatrix}-7-λ&12\12&11-λend{bmatrix}=λ^2-4λ-221=(λ+13)(λ-17)$$ Thus $$λ_1=-13$$...

Asked on 09/30/2020 by Laufen

1 answer

how to solve rational problem solving question

Marissa can paint a garage door in $3$ hours. When Marissa works with Roger, they can paint the same door in $1$ hour. How long would it take...

Asked on 09/29/2020 by Ranveer Masuta

1 answer

3 category car insurance probability

I couldn't find any 3 category car insurance examples. I was able to deduce part a but I could use some help trying to figure out part b) of the...

Asked on 09/29/2020 by mizerex

1 answer

Relationship between projection of $y$ onto $x_1, x_2$ individually vs. projection on both?

This is essentially similar to the question I just asked on cross validated, but here I am going to pose it in a linear algebra way. Consider $y...

Asked on 09/29/2020 by roulette01

0 answer

How do you solve for the intersection or multiplication rule of three dependent events?

Yes I am not aware of how to edit in LaTeX or make elegant edits, so apologies for not being able to do such editing on my own. I am...

Asked on 09/27/2020 by AndroidV11

1 answer

Looking for some background on closed linear span

I'm starting a book on generalized analytic continuation and the phrase 'closed linear span', which I haven't encountered, has popped up several times in the introduction. The first context was:...

Asked on 09/25/2020 by Integrand

0 answer

a subset of $l_2$.

the exercise is: show that the set $A={x=(x_n)subset l_2: sum(1+frac{1}{i})x_i^2)leq 1}$ doesn't contain an element with norm equal to $sup{|x|_2,xin A}$. My attempt: i showed that $forall...

Asked on 09/24/2020 by Luiza Silva

1 answer

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