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**k**- 3)² < 4k (**k**- 8) k² - 6k + 9 < 4k² - 32k 3k² - 26**k**- 9...4 Answers · Science & Mathematics · 05/10/2017

Decomposing 1/[

**k**(**k**+1)(**k**+2)], you have: A/**k**+ B/(**k**+1) + C/(**k**+2) = 1/[**k**(**k**+1.... Therefore: A(**k**+1)(**k**+2) + B(**k**)(**k**+2) + C(**k**)(**k**+1) = 1 which must hold true for all valid values of**k**. To determine...2 Answers · Science & Mathematics · 08/09/2007

y = x/(1 + kx) y(1 + kx) = x y + kxy = x kxy = x - y

**k**= (x - y)/(xy) I could have sworn I already answered this one!4 Answers · Science & Mathematics · 08/02/2010

Note that Σ(

**k**= 5 to ∞) C(**k**-1,**k**-5)**k**^3/2^**k**...to ∞) (k-1)(k-2)(k-3)(k-4) * k^3 x^**k**{at x = 1/2} = (1/24) x^5 * Σ(**k**...%29+C%28k-1%2C+**k**-5%29+**k**^3%2F2^**k**I hope...1 Answers · Science & Mathematics · 29/07/2014

0=<

**k**=<4 points of intersection are (-1,1) and (-3,1...solve it with 2 quadratic equations, one for each point. You will get**k**. For (-1,1),**k**is between (0,2) For (-3,1),**k**is...2 Answers · Science & Mathematics · 02/09/2008

2kx² - 12x + (

**k**+7) = 0 Solve for**k**b² - 4ac = 0 (b = -12, a = 2k and c =**k**...8 ..........-k² - 7k + 18 = 0 .......... k² + 7k - 18 = 0 ........ (**k**- 2) (**k**+ 9) = 0 ......**k**- 2 = 0..........................**k**+ 9 = 0**k**- 2 + 2 = 0 + 2...4 Answers · Science & Mathematics · 12/09/2010

If

**k**is even,**k**= 2j for some j ≥ 1, then Γ(**k**/2) = Γ(j) = (j - 1)! If**k**is odd,**k**= 2j + 1 for some j ≥ 1, then by repeated application of the...2 Answers · Science & Mathematics · 29/12/2012

Hello, x³ – (

**k**+ 1)x + 2k = 0 = = = = = = = = = = = = = = = = = = = = = = Obviously, if**k**=0, we obtain... prime and**k**≠0: Then 2k has four divisors: 1, 2,**k**and 2k. Rational root theorem induce that if a rational root exists...2 Answers · Science & Mathematics · 10/12/2012

Goal: To get "

**k**" isolated by itself. a.) 0 = 14 +**k**In order to isolate... so that the 3.3 on the variable side will turn into 0 and will not count. -0.8 =**k**+ 3.3 -0.8 - 3.3 =**k**+ 3.3 - 3.3 -4.1 =**k**+ 0 Since the zero does...3 Answers · Science & Mathematics · 16/06/2011

### an=sum

**k**=0 to**k**=n from 10 (-**k**^2).The limit of this sequence belongs to the set a)Q b) [-1,0) c) R/Q?a(n) = Σ(

**k**= 0 to ∞) 10^(-**k**^2) is irrational (choice C, assuming you mean...bit more, showing that it is transcendental. Let p(n) = Σ(**k**= 0 to n) 10^(n -**k**^2) and q(n) = 10^n. Then, |Σ(**k**= 0 to ∞) 10...2 Answers · Science & Mathematics · 13/04/2013

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