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... that when the walker moves from a vertex ,

**k**vertices out of n-1 vertices are non...2u + 3u^2 + ...] = (1-u)[1/(1-u)^2] ← see (note) = 1/(1-u) = 1/[**k**/(n-1)] = (n-1)/**k**And**k**changes from n-1 to...1 Answers · Science & Mathematics · 06/06/2019

https://www.wolframalpha.com/input/?i=sum(1%2F(4%5E(

**k**)+*+**k**!)+,+**k**+%3D+0+,+**k**+%3D+infinity) e^(1/4)2 Answers · Science & Mathematics · 07/06/2019

...so the ellipse is vertical. General equation for a vertical ellipse: (y-

**k**)²/a² + (x-h)²/b² = 1 with a² ≥ b²...4 Answers · Science & Mathematics · 29/05/2019

... equation for a down-opening parabola: y = a(x-h)² +

**k**with a<0 vertex (h,**k**) focal length p = 1/|4a| focus (h,**k**-p...2 Answers · Science & Mathematics · 29/05/2019

...gt; The cross product r(t)’Xr(t)’’ at t = 0 is: | i. j.

**k**| |-1 1 0| | 2 2 0| = -4k ||r’(t) X r’’(t)|| = 4 From equation 1...3 Answers · Science & Mathematics · 30/05/2019

...39; + 2X = 0, assume X = e^(kt), you get 2k^2 + 5k + 2 = 0 => (2k + 1)(

**k**+ 2) = 0 =>**k**= -1/2 or -2. So X_h = Ae^(-1/2 t) + Be...2 Answers · Science & Mathematics · 26/05/2019

...the other 9 rolls were 5. In general, the probability of exactly

**k**of n independent trials have a particular result, with probability p for that result...3 Answers · Science & Mathematics · 26/05/2019

Relationship between abscissas: p +

**k**= 6 Relationship between ordinates: 3 + 2k = p for some real value of**k**(that we now cancel out via substitution) 3 + 2(6 - p) = p 15 = 3p p = 58 Answers · Science & Mathematics · 23/05/2019

...so the ellipse is vertical. General equation for a vertical ellipse: (y-

**k**)²/a² + (x-h)²/b² = 1 with a ≥ b center (h,**k**...4 Answers · Science & Mathematics · 21/05/2019

sin(t) = x 2x^2 - 9x = 5 2x^2 - 9x - 5 = 0 x = (9 +/- sqrt(81 + 40)) / 4 x = (9 +/- 11) / 4 x = 20/4 , -2/4 x = 5 , -1/2 sin(t) = 5 , -1/2 sin(t) = 5 has no solution sin(t) = -1/2 t = 210 + 360 *

**k**, 330 + 360 ***k****k**is an integer1 Answers · Science & Mathematics · 22/05/2019

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