Mathematics
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Roma_Rayado
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All Questions Answers
Score Newest
question
13
Prove that $\,\int_0^1 \sqrt{1+x^2}\,\mathrm dx\le \int_0^1 \sqrt{1+x}\,\mathrm dx\,,\,$ proof verification.
Aug 21
question
2
Using de Moivre's Theorem, show that: $\cos(5\theta)=\cos^5\theta-10 \cos^3\theta \sin^2\theta+5 \cos\theta \sin^4\theta$
May 14
question
1
Having $z,w,a,b\in \mathit C$ Show that the segment $zw$ is parallel to $ab$ iff: $\frac{z-w}{\bar z-\bar w}=\frac{a-b}{\bar a-\bar b}$
May 15
question
1
If $\lvert a-b \rvert <\epsilon$, with $a$ and $b$ constants and $\epsilon >0$, then prove that $a=b$
May 31
question
1
Let $f:R\to R$ be a continuous function, and let $F:R\to R$ given by: $F(x)=\int_a^x xf(t)dt$, justify if it's differentiable
Sep 18
question
0
Divisibility Demonstrations (Propositions) [duplicate]
Feb 28
question
0
Gluing two continuous functions to form another continuous function
May 17
question
0
Trouble showing that $\lim\limits_{x\to \infty} f(x)=\infty \implies \lim\limits_{x\to \infty} \frac{1}{f(x)}=0$
Sep 4
question
-1
Let $I=[a,b]$ and $f: A \rightarrow R$ continuous on $I$. Let $f(a)>0 $ and $f(b)<0$. If $U=({x\in I: f(x)<0})$ and be $u=sup(U)$, show that $f(u)=0$ [closed]
May 29

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