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Vek
  • Member for 3 years, 5 months
  • Last seen more than 1 year ago
3 votes
3 answers
261 views

Find all solutions of congruence $3x^2−2x+9≡0\pmod {35}$ [duplicate]

3 votes
2 answers
122 views

How many digits does $2^{25964951}-1$ have?

3 votes
3 answers
58 views

Find the sum of the following geometric series $\sum_{k=2}^{\infty} \frac{5}{2^k} = \frac{5}{2}$

2 votes
0 answers
32 views

What is the order of $U$? Is $\{1, 7\}$ an orbit from $U$?

2 votes
1 answer
152 views

Is the polynomial $x^5 - 5x^4 + 7x^3 + x^2 + x - 1$ irreducible in $\mathbb{Z} [x]$ or in $\mathbb{Q} [x]$?

1 vote
2 answers
150 views

(Multiplicative) inverse of $\alpha = (\sqrt[3]{7})^2 + 3\sqrt[3]{7} + 1 \in\mathbb Q[\sqrt[3]{7}]$

1 vote
2 answers
60 views

Investigate if the following polynomial in Q [x] is reducible or irreducible: $x^5+x+1$

1 vote
3 answers
138 views

Investigate if the following polynomial in Q[x] is reducible or irreducible: $x^3-5x^2+2x+1$

1 vote
3 answers
65 views

Has the equation $x^2-21 = 17y$ integer solutions?

1 vote
1 answer
69 views

Find the divisors of $2$ in $R$.

0 votes
0 answers
27 views

Ist $3x^3 + 3x$ irreduzibel in $Z[x]$? In $Q[x]$?

0 votes
0 answers
18 views

For the polynomial $P = x^2 + 3x + 1$ $\in Z [x]$, determine the zeros of P modulo 11/121

0 votes
0 answers
37 views

Investigate if the following polynomial in Q [x] is reducible or irreducible: $x^3+6x^2+8x+4$

0 votes
1 answer
34 views

Let $b_n = \sqrt{n ^ 3 + 6n-1} - \sqrt{n ^ 3-10n-11}$ then $\lim_{n → ∞}b_n =?$

0 votes
3 answers
525 views

Calculate all numbers $x ∈ ℤ$ that simultaneously satisfy the following 3 congruences

0 votes
0 answers
24 views

Determine the boundary of M

0 votes
1 answer
36 views

Calculate partial derivatives $∂_i∂_jf_α$ and $∂_j∂_if_α$

0 votes
1 answer
23 views

calculate the limit if necessary $f_α(x) = \frac{||x||_1^α}{||x||_2} $

0 votes
0 answers
32 views

Check the following function for partial or total differentiability $f : ℝ^2 → ℝ, f(x,y) = \sqrt[3]{x^2*y^2}$

0 votes
2 answers
37 views

Show that $f$ has no local extremum in $(0,0)^T$

0 votes
1 answer
30 views

Is $T_{14}(f,0)(x)=T_{15}(f,0)(x)$ for polynomial degree $3$?

0 votes
1 answer
32 views

calculate the partial derivatives $∂_1f(x,y)$ and $∂_2f(x,y)$ in all points $(x,y)^T$ $∈ R^2$.