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1. ### Find every integer k s.t. k>= 3 and k-2 divides 2k?

If k-2 divides 2k, k-2 ≠ 0, then there is an integer i such that 2k = (k-2)i Solving for k gives... of i less than or equal to 1 that produce k≥ 3. Therefore the only ...

1 Answers · Science & Mathematics · 20/03/2009

2. ### Prove If K is convex, then cl(K) is convex?

Let K be a convex subset of R^p and let x,y be in the closure of K. Then there exist sequences (x_n), (y_n) of points in K such that lim x_n = x and lim y_n = y. The line segment between x_n and y_n...

2 Answers · Science & Mathematics · 20/01/2012

3. ### Find all the values of k?

∫(x = 0 to 1) x^k ln x dx = ∫(∞ to 0) (e^w)^k * w * (e^w...;==> x = e^w = -∫(w = 0 to ∞) we^((k+1)w) dw = -∫(w = 0 to ∞) we^((k+1)w) dw...1)t))] = (-1/(k+1)^2) * [1 + lim(t→∞) -e^((k+1)t)] = (-1/(k+1)^2) * (1 + 0), since k+1...

3 Answers · Science & Mathematics · 10/06/2015

4. ### given that 1^2+2^2+3^2+.....+k^2=k*(k+1)*(2k+1)/6,what is the smallest integer k such that?

k(k+1)(2k+1)/6 must be divisible by 100 means k(k+1)(2k+1) divisible by 600 which is 5x5x2x2x2x3 2k+1 is odd, and only one of k or k+1 can be even so you need k or k+1 divisible by 8 one of k, k+1, and 2k+1 will always be divisible...

4 Answers · Science & Mathematics · 18/12/2013

5. ### Find k such that f(x)= x^3 - kx^2 + kx +8 has the factor of x-4.?

synthetic division 4 | 1 -k k 8 ---------------- .....1 4 | 1.. -k....... k............ 8 ...____4____4(4-k)_____4[k+4(4-k)] .....1.. 4-k....k+4(4-k)....0 According to last column, 8 + 4[k+4(4-k)] = 0 4[k+4(4-k)] = -8 4k + 16(4 - k) = -8 4k + 64 - 16k = -8 -12k = -72...

1 Answers · Science & Mathematics · 09/11/2012

6. ### How do I solve this for k?

...you have written is evaluated like this: .030 = .22*(e^(-k))*(.005) I think you intended the exponent to be ((-k)*.005) so you should...

1 Answers · Science & Mathematics · 28/09/2013

7. ### solve for k, y = x / 1 + kx?

y = x/(1 + kx) (1 + kx)y = x y + kxy = x kxy = x - y k = (x - y)/(xy) Say, this formula looks familiar!

7 Answers · Science & Mathematics · 08/02/2010

8. ### The quadratic function Q is defined by Q(x) = kx2 − (k − 3) x + (k − 8), Determine the values of k for which Q (x) = 0 has no real roots?

(k - 3)² < 4k (k - 8) k² - 6k + 9 < 4k² - 32k 3k² - 26 k - 9...

4 Answers · Science & Mathematics · 05/10/2017

9. ### Closed form for 1/(k x (k+1) x (k+2))?

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

10. ### solve for k, y = x / 1 + kx?

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