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paxtibimarce
  • Member for 4 years
  • Last seen more than 2 years ago
3 votes
2 answers
91 views

Given $F(x)=\int\limits_x^{x^2}\frac{\sin t}{t}dt$, find $\lim_{x\rightarrow 0}F(x)$ and $\lim_{x\rightarrow 0}F'(x)$

3 votes
3 answers
728 views

Proving spheres are orthogonal

3 votes
1 answer
156 views

A differentiable function with $df = 0$ is locally constant

3 votes
2 answers
80 views

Show there exists differentiable $g : (0, \infty) \to \mathbb{R}$ s.t $f(\vec{x}) = g(||\vec{x}||)$ for $f : \mathbb{R}^3 \to \mathbb{R}$

2 votes
1 answer
127 views

Show that the image of a cube is almost a cube

2 votes
1 answer
322 views

Showing by definition that a curve is a 1 dimensional differentiable manifold

2 votes
1 answer
60 views

Length of the intersection between a sphere and a cylinder

2 votes
2 answers
56 views

Let $X \subseteq \mathbb{R}$ s.t $X \cap (y+X) \neq \emptyset \ \forall y \in \mathbb{R}$, prove $X$ is not countable

2 votes
1 answer
32 views

Probability of a ball ever being chosen from an urn

2 votes
1 answer
123 views

How many options there are for $n$ people to shake hands exactly $r$ times?

2 votes
1 answer
60 views

Number of routes not passing in 3 points

2 votes
1 answer
41 views

Why $\sum_{n=2}^{\infty}(n-1)x^{n+1}$ = $x^3 \sum_{n=2}^{\infty}(n-1)x^{n-2}$?

1 vote
1 answer
112 views

Finding a generating function for number of existing integers

1 vote
1 answer
507 views

Composition of orthogonal projections, $P_1 P_2 = P_2 P_1 \rightarrow P_1 P_2$ is the orthogonal projection on $W_1 \cap W_2$

1 vote
1 answer
40 views

Find if $\sum\limits_{n=1}^{\infty}\frac{\sin(\frac{1}{n})+\cos(\frac{1}{n})}{\ln^3(n)}$ converges

1 vote
2 answers
56 views

Why $\sum_{n=1}^{\infty}\frac{x^{\alpha}}{1+n^2 x^2}$ doesn't converge uniformly on $[0, \infty)$ for $\alpha > 2$?

1 vote
2 answers
168 views

Prove $\lim_{n\to \infty}\int\limits_0^1 \sin(x^n)dx=0$

1 vote
1 answer
140 views

Prove there exists $\lambda$ eigenvalue for $T$ and $v \notin W$ such that $(T-\lambda I)v \in W$

1 vote
1 answer
203 views

Simplify $xyz’w’+xy’zw+xyz’w+xy’z’w’+xy’z’w+zw’xy’$

1 vote
1 answer
22 views

Choosing pairs and singles out of $n$ students

1 vote
1 answer
152 views

Number of spanning trees isomorphic to a specific tree

1 vote
1 answer
40 views

Number of dice games with k doubles - Solution verificaiton

1 vote
0 answers
52 views

Number of undirected forests with exactly 2 trees on $n$ vertices - Solution verification

1 vote
2 answers
73 views

Find the max and min values of $\alpha$ for which $x^3-5x^2+8x+\alpha$ has 3 real roots.

1 vote
2 answers
200 views

Probability of uniform random subset

1 vote
0 answers
90 views

Cardinality of maximal value in a set

1 vote
2 answers
86 views

Help finding parameterization for a surface integral

1 vote
2 answers
84 views

Proving sequence converges $\forall n \in \mathbb{N}, |a_{n+1}-a_n| \leq \frac{9}{10}|a_{n}-a_{n-1}|$

1 vote
1 answer
52 views

Showing existence of $L: \mathbb{R}^d \to \mathbb{R}^d$ s.t $\langle x,y\rangle^{'} = \langle L(x), y\rangle$

1 vote
1 answer
62 views

Confusion with number of commuting permutations