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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

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

.../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

...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

... "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

... 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

... 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

... 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

... 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

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