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  1. (r^(2)-36)/((r+6)^(2)) The binomial can be factored using the difference...difference of squares formula is a^(2)-b^(2)=(a-b)(a+b). ((r-6)(r+6))/((r+6)^(2)) Reduce the expression by canceling out...

    5 Answers · Science & Mathematics · 06/03/2010

  2. Assume that R has a divisor of 0, say a different than 0, thus there exists c in R...contradiction. If aba = a, then abab = ab thus abab -ab = 0, thus a( bab - b)=0, as R has no divisors of 0 we have that bab = b. Take any a...

    3 Answers · Science & Mathematics · 11/05/2012

  3. R(x) = -2x³ - 7x + 14 R(11) = -2(11)³ - 7(11) + 14 R(11) = -2(1331) - 77 + 14 R(11) = -2662 - 77 + 14 R(11) = -2725

    3 Answers · Science & Mathematics · 03/07/2008

  4. (R(8) - R(5)) / (8 - 5) (sqrt(3 * 8 + 1) - sqrt(3 * 5 + 1)) / 3 (sqrt(25) - sqrt(16)) / 3 (5 - 4) / 3 1/3

    1 Answers · Science & Mathematics · 20/01/2017

  5. Simplify: (square the top and bottom of the fraction, then multiply top by R: 22.4 = 14400R/(R+139)^2 Clear fraction: (multiply both ...

    2 Answers · Science & Mathematics · 21/10/2009

  6. r^2h)/(2πrh+2πr^2)<1/3 (πr^2)/(2πr+2πr^2)<1/3 (πr^2)/2πr(1+r)<1/3 r/2(1+r)<1/3 r<...

    2 Answers · Science & Mathematics · 24/08/2012

  7. let r = the radius of the base of the cone , we also have: R = radius of sphere R + x = height cone V... - 3x^2 = 0 (R + x)(R - 3x) = 0 x = -R , R/3 => reject the negative root: x = R...

    3 Answers · Science & Mathematics · 26/06/2015

  8. Multiply by r: 1 - 1/2 r^2 = 3/5 r 1/2 r^2 + 3/5 r - 1 = 0 5 r^2 + 6r - 10 = 0 And solve using the quadratic equation.

    3 Answers · Science & Mathematics · 05/08/2009

  9. Note that: r^2/(r + 4) => [(r^2 - 16) + 16]/(r + 4) = (r^2 - 16)/(r + 4) + 16/(r + 4) = [(r + 4)(r - 4)]/(r + 4) + 16/(r + 4), by difference of two squares = (r - 4) + 16/(r + 4). Thus, the integral becomes: ∫ r^2/(r + 4) dr...

    6 Answers · Science & Mathematics · 28/06/2010

  10. Let R be a relation on R(all reals) given by x R y iff x.... To show R is an equivalence relation, then we must show that R is reflexive, symmetric, and transitive. Reflexive: We must show...

    1 Answers · Science & Mathematics · 22/03/2014

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