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  1. r = (1, 2, -3) + t(1, -1 ,1) = (5, -2, -3) + s(2, -2, -2) The point of intersection satisfies both equations for r, and for each coordinate. x: 1 + t = 5 + 2s z: -3 + t = - 3 – 2s add those 4 + 0 = 8...

    4 Answers · Science & Mathematics · 12/05/2019

  2. 188.5 = 2 * pi * r^2 + 2 * pi * r * 7 188.5 = 2 * pi * r^2 + 14 * pi * r 377 = 4 * pi * r^2 + 28 * pi * r 0 = 4pi * r^2 + 28pi * r - 377 r = (-28pi +/- sqrt(784 * pi^2 + 4 * 4 * 377 * pi)) / (8...

    1 Answers · Science & Mathematics · 18/09/2019

  3. ... coordinates. Multiply both sides by r to get r² = 9r sin θ + r cos θ x² + y² = 9y + x x²...

    4 Answers · Science & Mathematics · 18/05/2019

  4. ... the conventional use of Z, denoting the set of integers. R is reflexive, because for any integer a, either a^2 > 0 or a = 0 and therefore...

    1 Answers · Science & Mathematics · 16/09/2019

  5. ... + y² ≤ 25 16 ≤ r² ≤ 25 4 ≤ r ≤ 5 ∫∫ { sin( x² + y² ) dA, where R...(16) - ½cos(25) ∴ ∫(θ=0 to 2π) ∫(r=4 to 5 ) r * sin( r² ) dr dθ = ∫(θ=0 to 2π...

    2 Answers · Science & Mathematics · 13/05/2019

  6. (1/4)(r+10) = r-4 r + 10 = 4r - 16 3r = 26 r = 26/3

    3 Answers · Science & Mathematics · 11/09/2019

  7. ...the top part and will multiply by 2 Area of smaller semi-loop = ∫(1/2)r^2 dθ [0,π/3] = ∫(1/2)[2cosθ-1]^2 dθ [0,π/3] = (1/2)∫[4cos^2(θ)-4cosθ...

    1 Answers · Science & Mathematics · 08/05/2019

  8. ...π r² dz) / ∫ (π r² dz) Using similar triangles: r / R = z / h r = R/h z Substituting: CM = ∫₀ʰ...

    1 Answers · Science & Mathematics · 04/05/2019

  9. tan R = 20/21 = 0.952380... ≈ 0.9524

    3 Answers · Science & Mathematics · 04/05/2019

  10. 1 ml = 1 cm³, so that's easy... Diameter = 6.8, therefore radius ("r") = 3.4 Height ("h") = 8.9 V = π × (3.4)² × (8.9) ≈ 323.22 ml.

    2 Answers · Science & Mathematics · 01/09/2019

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