Question

Prove that the curve $\alpha(t)$ is tangent to the $x$ axis.

score 311 · Answer 1 · 2026-05-11 04:37:45

311

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Prove that the curve $\alpha(t)$ is tangent to the $x$ axis.

Published on 11 May 2026 - 4:37

score 25.6k · Answer 2 · 2026-04-16 05:28:59

25.6k

Views

If nine coins are tossed, what is the probability that the number of heads is even?

Published on 16 Apr 2026 - 5:28

score 91 · Answer 3 · 2026-04-15 21:10:14

91

Views

Calculate the number of ways to sort the numbers $1,2,...,n$ with $n\ge 4$ with the condition:

Published on 15 Apr 2026 - 21:10

score 149 · Answer 4 · 2026-04-17 02:46:50

149

Views

Prove that $X\times Y=\emptyset$ $\iff$ $X=\emptyset$ or $Y=\emptyset$.

Published on 17 Apr 2026 - 2:46

score 301 · Answer 5 · 2026-04-13 22:10:05

301

Views

Prob. 5, Sec. 28, in Munkres' TOPOLOGY, 2nd ed: $X$ is countably compact iff any nested sequence of nonempty closed sets has nonempty intersection

Published on 13 Apr 2026 - 22:10

score 1.8k · Answer 6 · 2026-04-13 20:54:09

1.8k

Views

Prob. 7 (a), Sec. 28, in Munkres' TOPOLOGY, 2nd ed: A contraction of a compact metric space has a unique fixed point

Published on 13 Apr 2026 - 20:54

score 47 · Answer 7 · 2026-04-12 00:11:20

47

Views

Complicated algebraic roots

Published on 12 Apr 2026 - 0:11

score 97 · Answer 8 · 2026-04-13 19:37:35

97

Views

Show that an alternating series diverges for $a=0$

Published on 13 Apr 2026 - 19:37

score 126 · Answer 9 · 2026-04-12 02:43:37

126

Views

Dualize this Projective Geometry Statement

Published on 12 Apr 2026 - 2:43

score 168 · Answer 10 · 2026-04-11 03:03:39

168

Views

sum rule for total differential - proof verification

Published on 11 Apr 2026 - 3:03

score 326 · Answer 11 · 2026-04-11 16:09:56

326

Views

Proving uniqueness of solution to 1-D Wave equation without energy conservation

Published on 11 Apr 2026 - 16:09

score 292 · Answer 12 · 2026-04-17 05:31:38

292

Views

Regularity of Topological Space $(\mathbb R,\tau)$

Published on 17 Apr 2026 - 5:31

score 1.5k · Answer 13 · 2026-04-03 06:18:34

1.5k

Views

Finding the equivalence classes of a relation

Published on 03 Apr 2026 - 6:18

score 479 · Answer 14 · 2026-04-14 06:23:46

479

Views

Prob. 1, Sec. 29, in Munkres' TOPOLOGY, 2nd ed: The subspace $\mathbb{Q}$ of $\mathbb{R}$ is not locally compact

Published on 14 Apr 2026 - 6:23

score 499 · Answer 15 · 2026-04-14 04:27:26

499

Views

Prob. 2, Sec. 29, in Munkres' TOPOLOGY, 2nd ed: Local compactness of a product of locally compact spaces

Published on 14 Apr 2026 - 4:27

List Question

Prove that the curve $\alpha(t)$ is tangent to the $x$ axis.

If nine coins are tossed, what is the probability that the number of heads is even?

Calculate the number of ways to sort the numbers $1,2,...,n$ with $n\ge 4$ with the condition:

Prove that $X\times Y=\emptyset$ $\iff$ $X=\emptyset$ or $Y=\emptyset$.

Prob. 5, Sec. 28, in Munkres' TOPOLOGY, 2nd ed: $X$ is countably compact iff any nested sequence of nonempty closed sets has nonempty intersection

Prob. 7 (a), Sec. 28, in Munkres' TOPOLOGY, 2nd ed: A contraction of a compact metric space has a unique fixed point

Complicated algebraic roots

Show that an alternating series diverges for $a=0$

Dualize this Projective Geometry Statement

sum rule for total differential - proof verification

Proving uniqueness of solution to 1-D Wave equation without energy conservation

Regularity of Topological Space $(\mathbb R,\tau)$

Finding the equivalence classes of a relation

Prob. 1, Sec. 29, in Munkres' TOPOLOGY, 2nd ed: The subspace $\mathbb{Q}$ of $\mathbb{R}$ is not locally compact

Prob. 2, Sec. 29, in Munkres' TOPOLOGY, 2nd ed: Local compactness of a product of locally compact spaces

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