Question

Does there exist a degree-$4$ polynomial such that $f(1)=0$, $f(0)=1$, $f '(1)=0$ and $f'(0)=1$?

score 469 · Answer 1 · 2026-03-26 04:35:07

469

Views

Does there exist a degree-$4$ polynomial such that $f(1)=0$, $f(0)=1$, $f '(1)=0$ and $f'(0)=1$?

Published on 26 Mar 2026 - 4:35

score 37 · Answer 2 · 2018-01-26 21:09:48

37

Views

Please help me to Factorize the V's in terms of Z's

Published on 26 Jan 2018 - 21:09

score 2.3k · Answer 3 · 2026-04-10 19:39:05

2.3k

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Multi variable limit $\lim\limits_ {(x, y) \to (0, 0)} \frac {e^{xy} − 1} y$

Published on 10 Apr 2026 - 19:39

score 38 · Answer 4 · 2018-01-27 02:16:54

38

Views

Side relationship of a quadrilateral

Published on 27 Jan 2018 - 2:16

score 68 · Answer 5 · 2026-04-09 12:38:49

68

Views

How do I interpret this sum?

Published on 09 Apr 2026 - 12:38

score 108 · Answer 6 · 2018-01-27 04:57:02

108

Views

Why is it that $2\times 0 = 0$, but $2^0= 1$?

Published on 27 Jan 2018 - 4:57

score 50 · Answer 7 · 2026-04-07 06:25:57

50

Views

How would I prove that for all $a,b$ and $c<0$ we have $a<b \implies ca>cb$, using that $(-c)>0$?

Published on 07 Apr 2026 - 6:25

score 1.7k · Answer 8 · 2026-04-02 05:05:21

1.7k

Views

Find lengths of tangents drawn from $(3,-5)$ to the Ellipse

Published on 02 Apr 2026 - 5:05

score 781 · Answer 9 · 2026-03-31 23:47:30

781

Views

Find coefficient of $x^{20}$

Published on 31 Mar 2026 - 23:47

score 37 · Answer 10 · 2018-01-27 11:18:34

37

Views

Is $ \ {|{n^2\cdot \cos{(n\pi})|}\over {3n^2-5n^3 }} = \ {n^2\over 3n^2-5n^3} $ right?

Published on 27 Jan 2018 - 11:18

score 73 · Answer 11 · 2026-03-25 07:16:34

73

Views

Let $\ell =\lim\limits_{x\to b}\frac{f(x)-cb}{g(x)-b^2}$then compute $c-\ell $.

Published on 25 Mar 2026 - 7:16

score 175 · Answer 12 · 2026-03-25 01:16:57

175

Views

How to prove that $87!<16! \left(52^{71}\right)$

Published on 25 Mar 2026 - 1:16

score 108 · Answer 13 · 2026-03-24 22:01:57

108

Views

How to solve $\lim\limits_{x\to 3}\frac{1}{(9-x^2)^2}\left( \frac{9+x^2}{3x}-2\sin \frac{3π}{2}\sin\frac{πx}{2}\right)$ Without L'Hopital.

Published on 24 Mar 2026 - 22:01

score 9.1k · Answer 14 · 2026-04-09 00:06:00

9.1k

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Writing an Expression for the Volume of a Spherical Shell

Published on 09 Apr 2026 - 0:06

score 35 · Answer 15 · 2018-01-27 18:38:25

Considering the number $\frac{3}{7}$ written under the form $\frac{3}{7} = 0,a_1a_2a_3\dots$ compute $a_1+a_2+a_3+\dots+a_{2013}$

List Question

Does there exist a degree-$4$ polynomial such that $f(1)=0$, $f(0)=1$, $f '(1)=0$ and $f'(0)=1$?

Please help me to Factorize the V's in terms of Z's

Multi variable limit $\lim\limits_ {(x, y) \to (0, 0)} \frac {e^{xy} − 1} y$

Side relationship of a quadrilateral

How do I interpret this sum?

Why is it that $2\times 0 = 0$, but $2^0= 1$?

How would I prove that for all $a,b$ and $c<0$ we have $a<b \implies ca>cb$, using that $(-c)>0$?

Find lengths of tangents drawn from $(3,-5)$ to the Ellipse

Find coefficient of $x^{20}$

Is $ \ {|{n^2\cdot \cos{(n\pi})|}\over {3n^2-5n^3 }} = \ {n^2\over 3n^2-5n^3} $ right?

Let $\ell =\lim\limits_{x\to b}\frac{f(x)-cb}{g(x)-b^2}$then compute $c-\ell $.

How to prove that $87!<16! \left(52^{71}\right)$

How to solve $\lim\limits_{x\to 3}\frac{1}{(9-x^2)^2}\left( \frac{9+x^2}{3x}-2\sin \frac{3π}{2}\sin\frac{πx}{2}\right)$ Without L'Hopital.

Writing an Expression for the Volume of a Spherical Shell

Considering the number $\frac{3}{7}$ written under the form $\frac{3}{7} = 0,a_1a_2a_3\dots$ compute $a_1+a_2+a_3+\dots+a_{2013}$

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