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  1. Spherical Polar Coordinates are related to Rectangular...θ (1iii) so: x^2 + y^2 = r^2sin^2(θ) (2) and the infinitesimal volume in Spherical Polar Coordinates is: dV = r^2sinθ dr dθ dφ...

    1 Answers · Science & Mathematics · 30/03/2013

  2. Using spherical coordinates: y = x√(19/125) ==> ρ sin θ sin φ = ρ cos θ sin φ...

    1 Answers · Science & Mathematics · 08/11/2014

  3. Spherical coordinates: x = r∙sin(θ)∙cos(φ) y = r∙sin(θ)∙sin(φ) z = r...sin(θ) drdθdφ Basically uniqueness requires a restriction of the spherical coordinates to 0 ≤ r 0 ≤ φ ≤ 2∙π 0 ≤ θ ≤ π Consider...

    2 Answers · Science & Mathematics · 07/04/2013

  4. Converting to spherical coordinates: x^2 + y^2 + z^2 = 4 ==> ρ = 2. x^2 + y^2 = 1 ==>...3 (since the region is above the x-axis), which is a plane. In spherical coordinates, this is given by ρ cos φ = √3 ==> φ...

    2 Answers · Science & Mathematics · 12/12/2013

  5. ... three statements might be taken as part of an axiom system for spherical geometry, but then they don't get proofs.) If you take spherical geometry...

    2 Answers · Science & Mathematics · 10/11/2009

  6. Spherical coordinates: x = r∙cos(φ)∙sin(θ) y = r∙sin(φ)∙sin(θ) z = r∙cos(θ) Due to coordinate transformation...: 0 ≤ θ ≤ π/2 (note that polar angle θ is restricted to the interval [0;π] be definition of the spherical coordinate system) system) 0 ≤ φ ≤ π/2 Hence, ∫ ∫ ∫ 6∙z dV = ∫[4→5] ∫[0→π/2] ∫[0→π/2...

    1 Answers · Science & Mathematics · 15/12/2011

  7. ...here but I will tell you a few things about it. Firstly a spherical triangle is like a plane triangle in that it has three sides but...

    1 Answers · Science & Mathematics · 09/10/2011

  8. Well, spherical coordinates is the most extensive way to find volume, but you can'...

    2 Answers · Science & Mathematics · 17/11/2009

  9. Spherical Coordinates normally require rho to be non-negative. I can only estimate...

    2 Answers · Science & Mathematics · 09/12/2010

  10. Spherical coordinates: x=r*sinφ*cosθ, y=r*sinφ*sinθ, z=r*cosφ dx dy dz...1≤z≤2 and 0≤x²+y²≤z² Volume region in Spherical coordinates: V2: 0≤θ≤2π, 0≤φ≤π/4, 1/cosφ≤r≤2/cos...

    1 Answers · Science & Mathematics · 03/11/2008

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