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...e^(kx) - e^(-kx) ] / [ e^(3x) + e^(-3x) ] When x is large and assume

**k**>= 0 sinh(kx) / cosh(3x) ≈ e^(kx) / e^(3x) = e^(x(**k**- 3)) For sinh(kx...1 Answers · Science & Mathematics · 21/02/2019

GCD(

**k**,n) = 1 means that**k**and n have no common divider . Similarly , GCD(n-**k**,n) = 1 means that n-**k**and n have no common divider . Assume that n-**k**and n have a common divider c...1 Answers · Science & Mathematics · 26/09/2018

Replace x with

**k**and y with 2 in x + 2y = 5:**k**+ 2(2) = 5**k**= 5 - 4**k**= 14 Answers · Science & Mathematics · 25/02/2019

(0.0015/0.03)*10^(m-

**k**) = 5 * 10^7 => (15/300)*10^(m-**k**) = 5*10^7 => 0.05*10^(m-**k**) = 5*10^7 => 10^(m-**k**) = 10^9 => m-**k**= 94 Answers · Science & Mathematics · 10/02/2019

... want 1k. So divide both sides of = by 3 33/3 = 3k/3 11 =

**k**Verify LS 4k + 39 4(11) + 39 44 + 39 = 83 RS 7k + 6 7(11...6 Answers · Science & Mathematics · 22/11/2018

...model. However, you need to check for accuracy ----- add (

**k**+2) to both sides (**k**-1)x^2 + (**k**-5)x^2 =**k**+2 factor...x2) The question then becomes: finding**k**such that 2x^2 < 2 divide both sides by...3 Answers · Science & Mathematics · 12/07/2018

x^2 - kx + 4 = 0 apply the discriminant formula a = 1 , b = -

**k**, c = 4 b^2 - 4ac = 0 (-**k**)^2 - 4(1)(4) = 0**k**^2 - 16 = 0**k**^2 = 16**k**= √(16)**k**= 4 answer// x^2 - 4x + 4 = 0 (x - 2)(x - 2) = 0 x = 28 Answers · Science & Mathematics · 19/05/2019

[

**k**= 1 to n] ∑ (5k)/(3n) ... if you meant something else please confirm. = (5/(3n)) [**k**= 1 to n] ∑**k**= (5/(3n)) n(n+1)/2 = 5(n+1)/61 Answers · Science & Mathematics · 04/05/2019

then f(-2) = 0 or (-2)^4 -

**k***(-2)^3 + 1 = 0 16 - 8k + 1 = 0**k**= -17/82 Answers · Science & Mathematics · 07/06/2019

... to 2*1 + 3*2 + 1*3 = 11, which is a single number. i, j and

**k**are unit vectors in the x, y and z directions. xi + yj +zk...2 Answers · Science & Mathematics · 02/08/2018

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