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  1. 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

  2. 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

  3. 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

  4. 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

  5. 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

  6. 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

  7. ∑ _{r=1, n} 1= n ∑ _{r=1, n} r= (n+1)·n/2 ∑ _{r=1, n} r²= n·(n+1)·(2n+1)/6 ==>...2nr +r² -n -r) = (n²-n)·∑ _{r=1, n} 1 + (2n-1)· ∑ _{r=1, n} r + ∑ _{r=1, n} r² = (n²-n)·n + (2n-1)·(n...

    1 Answers · Science & Mathematics · 26/07/2009

  8. 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

  9. r = <x, y, z>, ||r|| = (x^2 + y^2 + z^2)^(-1/2) So, we need to compute curl <...

    4 Answers · Science & Mathematics · 02/03/2011

  10. Use the facts that sin(θ) = y/r and r = √(x^2 + y^2). First, for r = 3sin(θ): r = 3sin(θ) r = 3(y/r... is a circle. In the subject line, I'll assume you mean r = sin(3θ) and not r = sin^3 (θ). You'll have to use a trig identity for...

    1 Answers · Science & Mathematics · 19/05/2007

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