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1. ### Calculus Problem Dealing with Values k and c?

This is just asking for the range of the function on the interval [0,1]. values of k: [6,13]

3 Answers · Science & Mathematics · 06/09/2011

2. ### Prove using a combinatorial arguments?

n * C(n-1, k-1) = n * [(n-1)! / ((k-1)! (n-k)!)] = n! / ((k-1)! (n-k)!) = k * [n! / (k! (n-k)!)] = k * C(n, k). I hope this helps!

1 Answers · Science & Mathematics · 20/11/2011

3. ### 6(a) If the tangent at the point (h,k) on the circle x＾2 + y＾2 +2gx +2fy + c= 0 touches the circle x＾2 + y＾2

...circle x² + y² +2gx +2fy + c= 0 is hx + ky + g(x + h) + f(y + k) + c = 0 => (h+g)x + (k+f)y +gh +fk + c = 0 If this tangent line is...

3 Answers · Science & Mathematics · 22/07/2008

4. ### Show that if K is a compact set and C is a closed set in R^n then K intersection C is a compact set?

Sort of. You have shown K intersection C is closed subset of K. But you need to show that any...

1 Answers · Science & Mathematics · 11/05/2011

5. ### Abstract Algebra Proof: If k = abc + 1, then prove that (k,a) = (k,b) = (k,c) = 1?

If d divides both k and one of a,b,c, then d divides k - abc = 1. If d is a positive integer, this implies d = 1. Now apply that to the gcd's.

2 Answers · Science & Mathematics · 25/01/2012

6. ### Sum of ages of S, C, K is40. S is twice as old as K, and K is 6 yrs younger than C. Find ages by solving eqns?

S +C +K = 40 ------(1) S = 2K ---------------(2) K = C - 6 ------------(3...12 + C + C - 6 = 40 4C = 58 C = 14.5 years K = C - 6 = 8.5 years S = 2 * 8.5 = 17 years

4 Answers · Science & Mathematics · 01/06/2009

7. ### if the integral from -1 to 1 of e^(-x^2) dx=k then the integral from 0 to 1 of e^(-x^2) =...?

d). k/2, since e^(-x^2) is an even function. ---------- Work: integral from -1 to 1 of e^(-x^2) dx = 2 * integral from 0 to 1 of e^(-x^2) dx = k

2 Answers · Science & Mathematics · 27/02/2011

8. ### If log k = c log v + log p, k equals?

log k= log(v^c) +log p=log(p*v^c) so k=(v^c)*p. just remember : log(a^b)=b log(a) and log a+ log b= log(a*b)

2 Answers · Science & Mathematics · 24/04/2010

9. ### Find s & t such that C-sA-tB is perpendicular to BOTH A and B?

Let D = (C - s · A - t · B) = (2-s-2t)i + (-1-s+t)j + (4-s-t)k If two vectors are perpendicular, their dot product ...

1 Answers · Science & Mathematics · 02/02/2008

10. ### Solve: y'' + y = 0, Answer: K sin[t] + C cos[t], where K & C are constants, Why? Thanks for Any Help =)!?

... would be: y = K*sin(t) + C*cos(t), for some constants K and C. I hope this helps!

4 Answers · Science & Mathematics · 31/03/2011