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1. ### Calculate the given quantity if a = i + j − 2k b = 4i − 2j + k c = j − 4k.?

14i - 4j - k

2 Answers · Science & Mathematics · 02/05/2019

2. ### if n=5, then for what values of k is the following true: P(n,k) = c(n,k)?

If both sides are equal, then k = 0,5 Good luck!

2 Answers · Science & Mathematics · 29/01/2012

3. ### C(n,1)+ 2⋅C(n,2) + ... + (n-1)⋅C(n,n-1) + n⋅C(n,n) = ...?

See binomial equation [1 + x]^n = C(n,0)+ x*C(n,1) +(x^2)*C(n,2)+ (x^3)*C(n,3) ... + [x^n-1]*C(n,n-1) + (x^n)C(n,n) Now differentiate this equation on both sides w.r.t. x n*(1+x)^n-1 = 1*C(n,1)+ (2*x)*C(n,2) + (3x^2)*C(n,3)+ ... + (n-1)*[x^n-2...

3 Answers · Science & Mathematics · 28/10/2015

4. ### 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

5. ### Determine these two constants c and k ((c)e^((k)2) =2, (c)e^((k)3) = 3?

c*e^k3/ce^k2 = 3/2 e^k = 3/2 k = ln(3/2) ---- c(3/2)^2 = 2 c = 2(2/3)^(1/2)

1 Answers · Science & Mathematics · 04/02/2011

6. ### Very difficult logarithmic equation, need help solving X: (V*K*C)/F = (1+E)*(ln(1/1-X))-E*X?

http://i563.photobucket.com/albums/ss72/ricric9/vkc.gif good luck

1 Answers · Science & Mathematics · 08/07/2009

7. ### ABCD is a rectangle, where A,B and C are the points A(3,4) B (1,K) C (4,-3)?

(1) By the slope formula, the slope of the line that passes through A and B is just: m = Δy/Δx = (k - 4)/(1 - 3) = (k - 4)/(-2) = (4 - k)/2. (2) Since ABCD is a rectangle, sides AB and BC must be perpendicular to each other...

1 Answers · Science & Mathematics · 28/01/2013

8. ### If y=K/X n is a power to X, the independant value is??? A. y B. k C. X D. N?

ans : [ C ] X -----

1 Answers · Science & Mathematics · 24/05/2010

9. ### The volume of the box which has a= i -3j +k b= 2j-k c=i +j-2k as it's sides?

just compute | a x b 'dot' c |

1 Answers · Science & Mathematics · 19/11/2009

10. ### Find the volume of the parallelepiped determined by vectors a,b,c a = i + j - k, b = i - j + k, c = -i+j+k?

You just need to calculate the scalar triple product a . (b x c) which is equal to the absolute value of the 3x3 determinant | 1 1 -1 | | 1 -1 1 | | -1 1 1 | Expanding via the first row, I calculate it to be abs(1 x (-1 - 1) - 1 x (1 + 1) - 1 x (1 - 1)) = abs(-4) = 4 cubic units.

1 Answers · Science & Mathematics · 11/09/2013