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Coordinate Systems
Math 2210Q - Cartesian, Cylindrical, & Spherical
Question | Answer |
---|---|
What is the dV for cylindrical coordinates? | rdzdrθ |
what does x^2+y^2= in cylindrical coordinates? | r^2 |
what does x, y, and z = in cylindrical coordinates? | x = rcosθ y = rsinθ z = z |
What coordinate system is the best to use when you have a sphere? | Spherical |
What coordinate system is the best to use when you have a cylinder? | Cylindrical |
What coordinate system is the best to use when you have a cone? | Spherical |
What coordinate system is the best to use when you have a paraboloid? | Cartesian or Cylinder |
What does p mean in spherical coordinates? | Distance from origin |
What does ϕ mean in spherical coordinates? | The rotation down from the positive z-axis (0 ≤ ϕ ≤ pi) |
What does x, y, and z mean in spherical coordinates? | x = psinϕcosθ y = psinϕsinθ z = pcosϕ |
What does dV mean in spherical coordinates? | p^2sinϕdpdϕdθ |
What does x^2+y^2 = in spherical coordinates? | p^2 |