Question

Understanding Constraint Matrix in Example Problem

score 216 · Answer 1 · 2026-03-25 09:22:06

216

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Understanding Constraint Matrix in Example Problem

Published on 25 Mar 2026 - 9:22

score 105 · Answer 2 · 2026-03-31 18:24:14

105

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How do I solve the inequality $x^{12}−x^9+x^4−x+1>0$ using intervals?

Published on 31 Mar 2026 - 18:24

score 412 · Answer 3 · 2026-03-30 02:23:12

412

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If $a$ is a real number and $f(x) = x^5 - 5x + a$, then how does the value of a influence the number of roots of f(x).

Published on 30 Mar 2026 - 2:23

score 1k · Answer 4 · 2018-05-01 12:35:57

1k

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Proving $\frac14(a+b+c+d)\geq \sqrt[4]{abcd}$

Published on 01 May 2018 - 12:35

score 737 · Answer 5 · 2018-05-01 15:33:55

737

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prove this nice inequality $\left|\prod_{i=1}^{n}(a_{i}-a_{i+1})\right|\le \frac{3\sqrt{3}}{16}$

Published on 01 May 2018 - 15:33

score 78 · Answer 6 · 2018-05-01 16:54:29

78

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Show that if $2x + 4y = 1$ where x and y are real numbers.

Published on 01 May 2018 - 16:54

score 93 · Answer 7 · 2018-05-01 18:18:15

93

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${\left( \int_{0}^{1} f(x)\right)}^2 \le 2\int_{0}^{1} x{(f(x))}^2$

Published on 01 May 2018 - 18:18

score 3k · Answer 8 · 2026-03-22 11:58:56

3k

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Without using a calculator, is $\sqrt[8]{8!}$ or $\sqrt[9]{9!}$ greater?

Published on 22 Mar 2026 - 11:58

score 370 · Answer 9 · 2018-05-01 20:00:23

Showing $\int_0^s \int_0^u (F_1(u)-F_1(u-v)) f_1(u-v) e^{-v}\, dv\, du \leq \int_0^s \int_0^u (F_2(u)-F_2(u-v)) f_2(u-v) e^{-v}\, dv\, du$

score 55 · Answer 10 · 2026-03-25 12:54:01

55

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Demonstrate inequality of holomorphic and non-constant functions

Published on 25 Mar 2026 - 12:54

score 164 · Answer 11 · 2018-05-01 20:16:53

164

Views

Show that $x^2+y^2\geq x+y $.

Published on 01 May 2018 - 20:16

score 369 · Answer 12 · 2018-05-01 21:36:35

369

Views

Deriving a weak form of Stirling's formula

Published on 01 May 2018 - 21:36

score 63 · Answer 13 · 2018-05-01 21:50:50

63

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Algebraic way to show $112\sqrt{3}n^2-112\sqrt{3}-21n+112$ is positive for $n\ge 1$

Published on 01 May 2018 - 21:50

score 183 · Answer 14 · 2026-03-29 20:02:24

183

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If $x+y+z=2$ prove that $\sum_{cyc}\frac{1}{\sqrt{x^2+y^2}}\ge2+\frac{1}{\sqrt{2}}$

Published on 29 Mar 2026 - 20:02

score 20 · Answer 15 · 2018-05-02 06:01:40

20

Views

Proving average area under curve is greater for higher bounds

Published on 02 May 2018 - 6:01

List Question

Understanding Constraint Matrix in Example Problem

How do I solve the inequality $x^{12}−x^9+x^4−x+1>0$ using intervals?

If $a$ is a real number and $f(x) = x^5 - 5x + a$, then how does the value of a influence the number of roots of f(x).

Proving $\frac14(a+b+c+d)\geq \sqrt[4]{abcd}$

prove this nice inequality $\left|\prod_{i=1}^{n}(a_{i}-a_{i+1})\right|\le \frac{3\sqrt{3}}{16}$

Show that if $2x + 4y = 1$ where x and y are real numbers.

${\left( \int_{0}^{1} f(x)\right)}^2 \le 2\int_{0}^{1} x{(f(x))}^2$

Without using a calculator, is $\sqrt[8]{8!}$ or $\sqrt[9]{9!}$ greater?

Showing $\int_0^s \int_0^u (F_1(u)-F_1(u-v)) f_1(u-v) e^{-v}\, dv\, du \leq \int_0^s \int_0^u (F_2(u)-F_2(u-v)) f_2(u-v) e^{-v}\, dv\, du$

Demonstrate inequality of holomorphic and non-constant functions

Show that $x^2+y^2\geq x+y $.

Deriving a weak form of Stirling's formula

Algebraic way to show $112\sqrt{3}n^2-112\sqrt{3}-21n+112$ is positive for $n\ge 1$

If $x+y+z=2$ prove that $\sum_{cyc}\frac{1}{\sqrt{x^2+y^2}}\ge2+\frac{1}{\sqrt{2}}$

Proving average area under curve is greater for higher bounds

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