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Mathematics : Recent Questions and Answers (Page 133)

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

Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

I KNOW THIS IS SOLUTION BUT I DON'T KNOW WHY? We first find the difference of the numbers and then find the HCF of the got numbers. 183−91=92 183−43=140 91−43=48...

Asked on 01/31/2021 by Dead Man's Cave

1 answer

Questions about parameter estimation for the Cauchy Distribution.

$X_{1} ... X_{n}$ are i.i.d. according to the Cauchy distribution centered at θ. The the density function is given by: $frac{1}{pi} cdotfrac{1}{[1 + (x-theta)^2]}$ and the cdf...

Asked on 01/31/2021 by YepYep123

1 answer

Compute the indefinite integral

I don't quit understand what the question wants me to do here with 'by choosing $u'(x) = x$ and $v(x) = ln(x)$' This is what I am supposed...

Asked on 01/31/2021 by Starr

0 answer

Tautology by default?

"A propositional formula is a tautology if it is true under every valuation of its predicate symbols." How do you call a formula that is always true, but due to...

Asked on 01/30/2021 by Zaphenath Paneah

0 answer

Does continuity guarantee existence of double integral?

In single variable real analysis we know if $f: mathbb{R} to mathbb{R}$ is continuous then its integral exists over any bounded domain. Does this generalize to the 2-variable case?...

Asked on 01/30/2021 by othi

1 answer

$f(x)=sum_{n=1}^{infty} {4^{1-n}} {h(4^{n-1}x)}$ is continuous and nowhere monotonic,$h(x)=vert x vert$ with period 1,$vert x vert leq 1/2$

Given $h: mathbb{R} to mathbb{R}$ be a periodic function with period 1 defined for $vert x vert leq 1/2$ by $h(x)=vert x vert$ . To show ...

Asked on 01/30/2021 by Sharlin

1 answer

A geometry problem with the reflection of the incenter

Consider $triangle ABC$ and its incenter $I$. Let $M$ be the midpoint of arc $BC$ (not containing $A$) and $P$ be the second intersection point of the circumcircle of $triangle...

Asked on 01/30/2021 by Pet123

5 answer

How to determine if vectors span a plane?

I have the set of three vectors $S={(1,2,-1),(2,0,1),(3,2,0)}$.I observe that the last vector is linear combination of the first two vectors.Is it possible to say that the set $S$...

Asked on 01/30/2021

4 answer

How can we make it easy to solve quadratics without the Quadratic Formula?

For example , $$5x^2 - 7x-2=0$$ Then, we only need to find is when$$5x^2-7x=2$$$$x(5x-7)=2$$Since that when we get $2-2=0$.Is there any way we...

Asked on 01/30/2021 by user864449

3 answer

Solving state-space function with using of Runge-Kutta method

I need to implement my own integration routine that will take state space function $f$, free variable $t$, and initial state $x(0)$ as input and produce the...

Asked on 01/30/2021 by Makshe

1 answer

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