Question

Let $x$, $y$, and $z$ be real numbers such that $x^2 + y^2 + z^2 = 1.$ Find the maximum value of $9x+12y+8z.$

score 3.3k · Answer 1 · 2016-10-01 14:32:44

3.3k

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Let $x$, $y$, and $z$ be real numbers such that $x^2 + y^2 + z^2 = 1.$ Find the maximum value of $9x+12y+8z.$

Published on 01 Oct 2016 - 14:32

score 2.7k · Answer 2 · 2016-10-01 14:52:54

2.7k

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Finding the maximum value of$\sqrt{\frac{3x+4y}{6x+5y+4z}} + \sqrt{\frac{y+2z}{6x+5y+4z}} + \sqrt{\frac{2z+3x}{6x+5y+4z}}? $

Published on 01 Oct 2016 - 14:52

score 35 · Answer 3 · 2016-10-03 18:33:27

35

Views

Prove that $ x= \sum_{k=1}^\infty\frac{\varepsilon_k}{3^k}$

Published on 03 Oct 2016 - 18:33

score 379 · Answer 4 · 2026-03-27 00:03:09

379

Views

Show that metric space is complete.

Published on 27 Mar 2026 - 0:03

score 2.1k · Answer 5 · 2016-10-04 07:07:23

2.1k

Views

Quasi-increasing sequence that isn't monotone? How about one that diverges as well?

Published on 04 Oct 2016 - 7:07

score 77 · Answer 6 · 2016-10-04 16:49:04

77

Views

Prove that $\mathbb{C}$ with its usual complex absolute value $|\cdot |$ is complete.

Published on 04 Oct 2016 - 16:49

score 49 · Answer 7 · 2016-10-04 16:57:31

49

Views

If $\sum_{j=1}^\infty \| x_{j+1} - x_j\| < \infty$ then is it Cauchy?

Published on 04 Oct 2016 - 16:57

score 26 · Answer 8 · 2016-10-04 17:46:22

26

Views

Prove that $a:\mathbb{Z}_+\to \mathbb{R}$, with $a_n = \frac{1}{n}$ is a Cauchy sequence.

Published on 04 Oct 2016 - 17:46

score 2.7k · Answer 9 · 2016-10-05 15:10:52

2.7k

Views

Showing that $C[0,1]$ is not complete

Published on 05 Oct 2016 - 15:10

score 80 · Answer 10 · 2026-03-26 04:51:55

80

Views

Finding a formula for this sequence $-8, -14, 8, 14, -8, -14, 8, 14$

Published on 26 Mar 2026 - 4:51

score 423 · Answer 11 · 2016-10-05 21:46:30

423

Views

Some detailed explanation about how the negation of a Cauchy sequence works?

Published on 05 Oct 2016 - 21:46

score 212 · Answer 12 · 2016-10-06 05:42:20

212

Views

Prove that if a sequence $a_{n}$is not a Cauchy sequence then: a) or b)

Published on 06 Oct 2016 - 5:42

score 151 · Answer 13 · 2026-03-26 12:33:50

151

Views

Proving a space is a Banach space.

Published on 26 Mar 2026 - 12:33

score 49 · Answer 14 · 2016-10-06 22:30:13

49

Views

Construct a sequence that satisfies the following property.

Published on 06 Oct 2016 - 22:30

score 54 · Answer 15 · 2016-10-08 18:46:04

54

Views

Showing this sequence is Cauchy

Published on 08 Oct 2016 - 18:46

List Question

Let $x$, $y$, and $z$ be real numbers such that $x^2 + y^2 + z^2 = 1.$ Find the maximum value of $9x+12y+8z.$

Finding the maximum value of$\sqrt{\frac{3x+4y}{6x+5y+4z}} + \sqrt{\frac{y+2z}{6x+5y+4z}} + \sqrt{\frac{2z+3x}{6x+5y+4z}}? $

Prove that $ x= \sum_{k=1}^\infty\frac{\varepsilon_k}{3^k}$

Show that metric space is complete.

Quasi-increasing sequence that isn't monotone? How about one that diverges as well?

Prove that $\mathbb{C}$ with its usual complex absolute value $|\cdot |$ is complete.

If $\sum_{j=1}^\infty \| x_{j+1} - x_j\| < \infty$ then is it Cauchy?

Prove that $a:\mathbb{Z}_+\to \mathbb{R}$, with $a_n = \frac{1}{n}$ is a Cauchy sequence.

Showing that $C[0,1]$ is not complete

Finding a formula for this sequence $-8, -14, 8, 14, -8, -14, 8, 14$

Some detailed explanation about how the negation of a Cauchy sequence works?

Prove that if a sequence $a_{n}$is not a Cauchy sequence then: a) or b)

Proving a space is a Banach space.

Construct a sequence that satisfies the following property.

Showing this sequence is Cauchy

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