Question

Proving $ 1+2f'(x)+\frac{2}{x(1+x^2)}\left(\frac{3x}{2}+f(x) \right)\ge \frac{6x^2}{1+8x^2} $.

score 71 · Answer 1 · 2020-10-04 02:31:07

71

Views

Proving $ 1+2f'(x)+\frac{2}{x(1+x^2)}\left(\frac{3x}{2}+f(x) \right)\ge \frac{6x^2}{1+8x^2} $.

Published on 04 Oct 2020 - 2:31

score 98 · Answer 2 · 2020-10-06 22:00:56

98

Views

Minimize the product of the least and largest root of a cubic equation.

Published on 06 Oct 2020 - 22:00

score 257 · Answer 3 · 2020-10-09 19:09:28

257

Views

Solve $\frac{x^3-4x^2-4x+16}{\sqrt{x^2-5x+4}}=0$

Published on 09 Oct 2020 - 19:09

score 167 · Answer 4 · 2020-10-10 19:20:56

167

Views

Foolproof method for simplifying polynomials with four terms?

Published on 10 Oct 2020 - 19:20

score 84 · Answer 5 · 2026-03-31 21:36:38

84

Views

Find the value of $\frac{1}{(pq)^2-10r^2+300}+\frac{1}{(qr)^2-10p^2+300}+\frac{1}{(pr)^2-10q^2+300}$

Published on 31 Mar 2026 - 21:36

score 233 · Answer 6 · 2020-10-12 01:14:13

233

Views

Finding the supremum of a set of bounded cubics

Published on 12 Oct 2020 - 1:14

score 127 · Answer 7 · 2020-10-12 10:56:33

127

Views

Deducing a cissoid equation using an intersecting linear equation (Stillwell, 2001)

Published on 12 Oct 2020 - 10:56

score 67 · Answer 8 · 2020-10-15 13:21:44

67

Views

Finding the range of (complex) roots of a cubic

Published on 15 Oct 2020 - 13:21

score 106 · Answer 9 · 2020-10-20 02:06:36

106

Views

Is it possible to define a cubic function as a set of points equidistant to two objects?

Published on 20 Oct 2020 - 2:06

score 3.2k · Answer 10 · 2020-10-22 18:59:00

3.2k

Views

Find a Cubic Function given an inflection point, critical point, and function value.

Published on 22 Oct 2020 - 18:59

score 201 · Answer 11 · 2020-10-29 07:11:23

201

Views

Cubic diophantine equation in two variables

Published on 29 Oct 2020 - 7:11

score 935 · Answer 12 · 2020-10-29 15:29:38

935

Views

proof for that exactly one normal can be drawn to a parabola from an exterior point.

Published on 29 Oct 2020 - 15:29

score 53 · Answer 13 · 2020-10-29 17:25:33

53

Views

Factorizing $12x^3 - 8x^2 - 3x + 2$

Published on 29 Oct 2020 - 17:25

score 48 · Answer 14 · 2020-10-29 22:05:24

48

Views

Origins of two creative steps used in discussion of the relevance of complex numbers. From Spivak's Calculus 2nd edition.

Published on 29 Oct 2020 - 22:05

score 105 · Answer 15 · 2020-10-31 03:33:21

105

Views

Is there a better way to show $a^3 -4ab +8c = 0$ for this polynomial

Published on 31 Oct 2020 - 3:33

List Question

Proving $ 1+2f'(x)+\frac{2}{x(1+x^2)}\left(\frac{3x}{2}+f(x) \right)\ge \frac{6x^2}{1+8x^2} $.

Minimize the product of the least and largest root of a cubic equation.

Solve $\frac{x^3-4x^2-4x+16}{\sqrt{x^2-5x+4}}=0$

Foolproof method for simplifying polynomials with four terms?

Find the value of $\frac{1}{(pq)^2-10r^2+300}+\frac{1}{(qr)^2-10p^2+300}+\frac{1}{(pr)^2-10q^2+300}$

Finding the supremum of a set of bounded cubics

Deducing a cissoid equation using an intersecting linear equation (Stillwell, 2001)

Finding the range of (complex) roots of a cubic

Is it possible to define a cubic function as a set of points equidistant to two objects?

Find a Cubic Function given an inflection point, critical point, and function value.

Cubic diophantine equation in two variables

proof for that exactly one normal can be drawn to a parabola from an exterior point.

Factorizing $12x^3 - 8x^2 - 3x + 2$

Origins of two creative steps used in discussion of the relevance of complex numbers. From Spivak's Calculus 2nd edition.

Is there a better way to show $a^3 -4ab +8c = 0$ for this polynomial

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