Question

The population $P$ of a bacteria with respect to time $t$ can be modeled by the equation: $P=500(4+\frac{5t}{70+t^2})$

score 163 · Answer 1 · 2020-02-16 23:05:34

163

Views

The population $P$ of a bacteria with respect to time $t$ can be modeled by the equation: $P=500(4+\frac{5t}{70+t^2})$

Published on 16 Feb 2020 - 23:05

score 50 · Answer 2 · 2020-02-16 23:43:17

50

Views

I need an explanation for this solution about solving a non-homogenous recurrence relation.

Published on 16 Feb 2020 - 23:43

score 270 · Answer 3 · 2020-02-16 23:54:02

270

Views

Proof of $n\ge 6\implies 2n−8\le n^2−8n+ 16$ using induction.

Published on 16 Feb 2020 - 23:54

score 36 · Answer 4 · 2020-02-17 00:02:16

36

Views

Proving Basic Limit Property of CDFs

Published on 17 Feb 2020 - 0:02

score 187 · Answer 5 · 2020-02-17 00:06:11

187

Views

Prove: (M − N) ∪ (N − P) ⊆ (M ∪ N) − (M ∩ N ∩ P) are there mistakes or is my proof incomplete?

Published on 17 Feb 2020 - 0:06

score 493 · Answer 6 · 2026-03-29 14:02:41

493

Views

Prove that a sequence that contains subsequences that converges to every unit fraction contains a subsequence that converges to $0$.

Published on 29 Mar 2026 - 14:02

score 545 · Answer 7 · 2026-03-27 21:04:43

545

Views

Prove that $\mathcal{B} = \{\alpha,\beta\}$ is a basis for $\textbf{R}^{2}$ where $\langle\alpha,\beta\rangle = 0$ and $\|\alpha\| = \|\beta\| = 1$.

Published on 27 Mar 2026 - 21:04

score 45 · Answer 8 · 2020-02-17 04:42:40

45

Views

Bivariate distribution joint PMF problem

Published on 17 Feb 2020 - 4:42

score 23 · Answer 9 · 2020-02-17 04:55:04

23

Views

Do inequalities that define certain regions imply if the region is closed/open?

Published on 17 Feb 2020 - 4:55

score 63 · Answer 10 · 2026-03-27 22:32:38

63

Views

Prove that $\mathcal{B} = \{g_{1},g_{2},g_{3}\}$ is a basis for $V$ and obtain the coordinates of $f = c_0 + c_1x + c_2x^2$ in this ordered basis.

Published on 27 Mar 2026 - 22:32

score 65 · Answer 11 · 2026-03-27 22:31:06

65

Views

Find a $3\times 3$ matrix $P$ such that $g_{j} = \sum_{i=1}^{3}P_{ij}f_{i}$

Published on 27 Mar 2026 - 22:31

score 91 · Answer 12 · 2020-02-17 08:14:27

91

Views

Exercise 2.4.11 in Artin

Published on 17 Feb 2020 - 8:14

score 184 · Answer 13 · 2026-04-02 00:42:53

184

Views

Locally bounded stochastic processes are actually locally bounded for all compact intervals.

Published on 02 Apr 2026 - 0:42

score 163 · Answer 14 · 2020-02-17 10:19:46

163

Views

Lipschitz continuity of conformal maps

Published on 17 Feb 2020 - 10:19

score 67 · Answer 15 · 2020-02-17 11:18:42

67

Views

Find the derivative of $\frac{5-\frac{1}{x^2}}{x+3}$

Published on 17 Feb 2020 - 11:18

List Question

The population $P$ of a bacteria with respect to time $t$ can be modeled by the equation: $P=500(4+\frac{5t}{70+t^2})$

I need an explanation for this solution about solving a non-homogenous recurrence relation.

Proof of $n\ge 6\implies 2n−8\le n^2−8n+ 16$ using induction.

Proving Basic Limit Property of CDFs

Prove: (M − N) ∪ (N − P) ⊆ (M ∪ N) − (M ∩ N ∩ P) are there mistakes or is my proof incomplete?

Prove that a sequence that contains subsequences that converges to every unit fraction contains a subsequence that converges to $0$.

Prove that $\mathcal{B} = \{\alpha,\beta\}$ is a basis for $\textbf{R}^{2}$ where $\langle\alpha,\beta\rangle = 0$ and $\|\alpha\| = \|\beta\| = 1$.

Bivariate distribution joint PMF problem

Do inequalities that define certain regions imply if the region is closed/open?

Prove that $\mathcal{B} = \{g_{1},g_{2},g_{3}\}$ is a basis for $V$ and obtain the coordinates of $f = c_0 + c_1x + c_2x^2$ in this ordered basis.

Find a $3\times 3$ matrix $P$ such that $g_{j} = \sum_{i=1}^{3}P_{ij}f_{i}$

Exercise 2.4.11 in Artin

Locally bounded stochastic processes are actually locally bounded for all compact intervals.

Lipschitz continuity of conformal maps

Find the derivative of $\frac{5-\frac{1}{x^2}}{x+3}$

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