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  1. x^ 2 -225 = (x+15)(x-15) 9x^ 2 -196y^ 2 = (3x + 14)(3x - 14) 2x^ 2 -50 = 2 (x^ 2 - 25) = 2 (x+5)(x-5) 4x^ 2 -(y+z)^ 2 = (2x + (y+z))(2x - (y+z)) = (2x + y + z)(2x - y - z) (x+y)^ 2 -z^ 2 = ((x+y) + z)((x+y) - z) = (x + y + z)(x + y - z) 9y^ 2 -(x- 2 )^ 2 ...

    4 Answers · Science & Mathematics · 12/01/2007

  2. ... the product rule. Hence: U can write the question as 2x (1-x^ 2 )^- 2 =2x (- 2 ) (-2x) (1-x^ 2 )^-1 + (1-x^ 2 )^- 2 ( 2 ) 1st derivative = 8x^ 2 (1-x...

    4 Answers · Science & Mathematics · 08/04/2007

  3. 2 ^( 2 x + 2 ) = 64 First off, 64 is a power of 2 . In fact, 64 = 2 ^6, so 2 ^(2x + 2 ) = 2 ^6 Same base on both sides of the equation, so we may equate the exponents at this point. 2x + 2 = 6 2x = 4 x = 2

    4 Answers · Science & Mathematics · 29/06/2007

  4. Let √ 2 (√ 2 (√ 2 (√ 2 (√ 2 ...)))) = x => √(2x) = x => 2x = x^ 2 => x^ 2 - 2x = 0 => x (x - 2 ) = 0 => x = 2 ... [because x is not zero] Another method: √ 2 ...

    1 Answers · Science & Mathematics · 15/04/2012

  5. 2 x √(3) / 2 = [ 2 √(3)] / 2 = √3 Unless you meant: 2 √(3/ 2 ) = [ 2 √(3) / √( 2 )] x [√( 2 ) / √( 2 )] = [ 2 √(6)] / 2 = √6 Remember, you can't have radicals in...

    9 Answers · Science & Mathematics · 05/05/2010

  6. tan(theta/ 2 )=sin(theta/ 2 )/(cos(theta/ 2 ) first find sin(theta/ 2 ) sin^ 2 (theta/ 2 )=1/ 2 (1-cos(theta)) cos(theta)=-3/5 sin^ 2 ...3pi/4 is in the 2nd quadrant then sin(theta/ 2 ) is positive and cos(theta/ 2 ) is negative...

    1 Answers · Science & Mathematics · 26/10/2011

  7. The x ≤ 2 restriction is important because -(x - 2 )^ 2 is not one-to-one and thus doesn...find the inverse mostly like we do with out functions. We let y = -(x - 2 )^ 2 and then interchange x and y and then re-solve for y. Interchanging x...

    1 Answers · Science & Mathematics · 30/08/2010

  8. a = √ 2 + √3 a² = 5 + 22 √3 a³ = 22 + 6√3 + 9√ 2 + 3√3   = 9(√ 2 + √3) + 22   = 9a + 222 = (1/ 2 )a³ - (9/ 2 )a.

    1 Answers · Science & Mathematics · 30/03/2016

  9. integral x^ 2 /( 2 -x)^ 2 dx do long division: = integral (4/(x- 2 )+4/(x- 2 )^ 2 +1) dx Integrate the sum term by term and factor...integral of 1/s is log(s): = 4 log(s)+4 integral 1/u^ 2 du+ integral 1 dx The integral of 1/u^ 2 is...

    3 Answers · Science & Mathematics · 17/04/2010

  10. ∫ x^ 2 * √(x - 2 ) dx ===> by parts u = x^ 2 du = 2x dx dv = (x - 2 )^(1/ 2 ) dx s = x - 2 ds = dx...3) * (x - 2 )^(3/ 2 ) - ∫ ( 2 /3) * (x - 2 )^(3/ 2 ) * 2x * dx x^ 2 * ( 2 /3) * (x - 2 )^(3/ 2 ) - ∫ (4/3) * (x - 2 )^(3/ 2 ) * x * dx ===> by...

    5 Answers · Science & Mathematics · 04/06/2011

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