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Mathematics : Recent Questions and Answers (Page 171)

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

How do you find a point on a line bisecting an angle in three-dimensional space?

Given the x, y, z coordinates of three points P1, P2, P3 with the angle between them being $angle$P1P2P3, how do you find a point, say at a distance...

Asked on 12/20/2020 by user2561523

4 answer

Calculate if a line will pass through a given point?

I'm not sure if this should be in math or physics so I'm asking in both. Given a laser beam in closed reflective surface where point $(x,y)$ is the...

Asked on 12/20/2020 by Akash Jain

2 answer

I need to find the value of x. Im only given the a degree how would you solve this?

this is the link to the triangle that is connected to the question.What is the value x?...

Asked on 12/20/2020 by Liz

1 answer

Find the Eigenvectors $Tleft(left[begin{array}{ll}a & b \ c & dend{array}right]right)=left[begin{array}{ll}d & b \ c & aend{array}right]$

$V=$ $M_{2 times 2}(mathbb{R})$ y $Tleft(left[begin{array}{ll}a & b \ c & dend{array}right]right)=left[begin{array}{ll}d & b \ c & aend{array}right]$ I think the matrix associated to T is ...

Asked on 12/20/2020

2 answer

How to show that there exist a m such that $a_0I+a_1T+dots+a_mT^m=0$?

Prove that for any transformation $T:Vrightarrow V$ , there exist a m and $a_0$,$a_1$,....,$a_m$ not all zero such that $a_0I+a_1T+dots+a_mT^m=0$. Honestly, I don't understand this...

Asked on 12/20/2020 by Sunit das

1 answer

Integral $intlimits^{infty}_0frac{tan^{-1}t }{(1+t)^{n+1}} dt$

I'm having a good amount of trouble evaluating this: $$intlimits^{infty}_0frac{tan^{-1}(t)dt}{(1+t)^{n+1}}, n>0$$Here are some methods I've tried:$$intlimits^{infty}_0frac{tan^{-1}(t)dt}{(1+t)^{n+1}}=frac1nintlimits^{infty}_0frac{dt}{(1+t^2)(1+t)^{n}}$$using integration by parts. I then tried more integration by...

Asked on 12/20/2020 by Chunky Norris

3 answer

Place any number of parentheses into $1div2div3div4div5div6div7div8div9div10$ to get the number $256/63$

Place any number of parentheses into this expression to get the number $256/63$ $$1div2div3div4div5div6div7div8div9div10$$ I was able to get $63/256$, but I don't know how I would...

Asked on 12/20/2020 by user842445

2 answer

I want to show that $ker(h)=2Bbb Z_2^2=2(Bbb Z_2 timesBbb Z_2)$

Let $Bbb Z_2$ be the ring of $2$-adic integers. I want to show $Bbb Z_2^2/2Bbb Z_2^2 cong (Bbb Z_2/2Bbb Z_2)^2$. My approach: I think the Chinese Remainder...

Asked on 12/20/2020 by Masmath

0 answer

Is $frac{1}{x} = 4$ strictly a linear equation (in one variable)?

$$frac1{x} = 4$$If multiplied by $x$ both sides,$$1 = 4x$$Then it looks like linear equation in one variable. But is such multiplication by variable...

Asked on 12/20/2020 by Ispring Quiz

1 answer

Doubt in following one step of Proof

Let G be a finite group whose order is not divisible by 3. Suppose that $(ab)^3 = a^3b^3$for all a, b in G. Prove G must be abelian....

Asked on 12/19/2020 by latus_rectum

1 answer

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