# All Questions

1,005,870 questions
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### Given two functions, how to find range of values for which first function has values greater than second?

Given two functions $f(x)$ and $g(x)$, how do I find the range $[a,b]$, such that $\forall{x} \in [a,b], f(x) > g(x)$. Is/are there any standard way of solving such problems. Do they apply to ...
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### f(x) = x sin(1/x) uniformly continuous on (0,1) ??

I see how the function $f(x) = x sin(1/x)$ is continuous at the point 0 by the inequality of $|sin(\alpha)| \leq 1$. But for uniformly continuous, I try to produce the two sequences in $(0,1)$ which ...
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### $\vert f'(a) \vert < k$,prove that there exists $I$, $a\in I$ that $\vert f'(x)\vert<k$, $f \in C^1$

so here's the question: $\vert f'(a) \vert < k$,prove that there exists $I$, $a\in I$ that $\vert f'(x)\vert<k$, $f \in C^1$, since the first derivative is continuous, I tried using the ...
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### Hydrostatic force against side walls of a 38'6“L x 6'6”W x 2'H

I'm no good a calc and need some help. I need to figure out the amount of force that will be exerted on the walls of a tank of salt water (sg. 1.026) that is 40'long x 6'6"wide x 2'tall. All help will ...
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### Why does the binomial formula use multiplication?

This is Problem 2.2 from Tsitsiklis, Bertsekas, Introduction to Probability, 2nd edition. You go to a party with 500 guests. What is the probability that exactly one other guest has the sam ...
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### Dimension of a Subspace (with respect to span)

Just have a general question regarding the dimension of a subspace when it is shown like this: $W = span${$x, x_1, x_2,...$} How does the 'span' affect the dimension of a subspace?
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### Perfectly Repeating Square Grid on a Hexagonal Tile Base

I am attempting to discover what the sizing ratios of squares and hexagons are. What I want to do with this information is determine (if possible) what size squares in a grid I should place over a ...
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### How can we solve x=8sin(x)?

Been thinking about this for quite a while, I know 0 is one of the answers but I just can't figure out how can I find the others (not by ploting the graphs but working it out steps by steps), please ...
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### Riemann Zeta function, nontrivial zeroes

How can we prove what are, say the first 4 non-trivial zeroes of the Riemann $\zeta$ on the critical line $Re(z_j)=\frac{1}{2}$, $j=1,2,3,4$ the first two with negative imaginary part and the second ...
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### Calculate the general equation for SSE, SSB, and TSS

reference reference reference Question
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### Difference tables and vector spaces

At the linear algebra course our professor was introducing the notion of vector spaces and we worked on some examples. We proved that different kind of sets are vector spaces with regards to addition(...
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### Question in Henkin Semantics (First order logic)

I need to prove the following: First of all let L* be a language obtained from adding constant symbols to L and let Tm be a Henkin theory, then If $\Gamma$, $\phi[\overline{c}_{\phi}/x]\vDash\psi$ ...

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