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2. ### Knights of Columbus - Become More Than You

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...2) V = 15w^2 + 30w b) 15w(w + 2) = 2145 w(w + 2) = 143 w^2 + 2w - 143 = 0 c) w^2 + 2w - 143 = 0 (w + 13)(w - 11) = 0 w = -13 , 11 => reject the negative width...

1 Answers · Science & Mathematics · 06/05/2017

2. ### Prove that a· (b ×c ) = b · (c ×a ).?

Let a=a1i+a2j+a3k; b=b1i+b2j +b3k; c=c1i+c2j+c3k bxc= |...i...j...k...| |b1 b2 b3| |c1 c2 c3 | =i(b2c3-b3c2)+j(b3c1-b1c3)+k(b1c2-b2c1) a*(bxc)= a1(b2c3-b3c2...

1 Answers · Science & Mathematics · 04/05/2017

3. ### Represent the function 2xln(1 + x) as a power series f(x) = Σ n=0 to infinity of Cn(x^n): Find C1 C2 C3 C4 and the Radius of Convergence?

.../4 + ... When x = 0 ----> ln(1+x) = ln(1) = 0 ----> C = 0 ln(1+x) = x − x²/2 + x³/3 − x⁴/4 + ... ln(1+x) = Σ [k=1 to ∞] (−1)^(k+1)/k x^k 2x ln(1+x) = Σ [k=1 to ∞] (−1...

1 Answers · Science & Mathematics · 08/04/2017

4. ### More Math :P?

...zero. (2k)^2 - 4(k + 1)(k + 1) = 0 4k^2 - 4k^2 - 8k - 4 = 0 -8k - 4 = 0 -8k = 4 k = -1/2. c) Two zeros: same setup, but use > this time, as a positive discriminant...

4 Answers · Science & Mathematics · 28/03/2017

5. ### Math question?

... "n choose k" It's also written nCk or C(n,k) The formula is: C(n,k) = n! / ((n - k)! k!) Answer...

2 Answers · Science & Mathematics · 30/03/2017

6. ### How to solve this 2nd order homogeneous ODE?

... of the form (x^n)*y^{n} + a*(x^(n-1)*y^{n-1} ....+ c*y = 0 (where y^{n} means the n-th derivative of y) ...the method you tried, using a trial solution y = exp(k*t), to solve the transformed equation. The solution...

2 Answers · Science & Mathematics · 24/03/2017

...any duplicate numbers in Step 2. That will be: n((T ∩ K) ∪ C) I think this is what you asked for. forming.

1 Answers · Science & Mathematics · 21/02/2017

8. ### Matrix Algebra question?

... are the same: −h/2 ≠ 3 ----> h = −6 k/2 = 1 ------> k = 2 c) no solution Slopes are the same, intercepts are different...

2 Answers · Science & Mathematics · 04/02/2017

9. ### determine an expression for the number of positive integer solutions of the equation:?

... is given by (n-k+k-1)!/((n-k)!(k-1)!) = (n-1)!/((n-k)!(k-1)!) = C(n-1,k-1) <---- as can be seen an alternative description ...

2 Answers · Science & Mathematics · 23/02/2017

10. ### Probability math question?

... the binomial probability formula: P(X = k) = C(n,k) * p^k * q^(n-k) n : number of ...5,3) * 0.08^3 * 0.92^2 = ... P(X=4) = C(5,4) * 0.08^4 * 0.92^1 = ... P(X=5...

2 Answers · Science & Mathematics · 12/01/2017