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Polar Parametric and Complex Representations flashcards
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- What is radius and angle representations?Polar Coordinates and Graphs
- A point represented by signed distance along a ray and an angle.
- What condition or caution matters when using radius and angle representations?Polar Coordinates and Graphs
- Polar representations are not unique.
- What is converting and reading polar curves?Polar Coordinates and Graphs
- Curves specified by radius as a function of angle.
- What condition or caution matters when using converting and reading polar curves?Polar Coordinates and Graphs
- A negative radius places a point opposite the stated ray direction.
- What is eliminating a parameter?Parametric Equations and Motion
- A pair of coordinate rules sharing a common parameter.
- What condition or caution matters when using eliminating a parameter?Parametric Equations and Motion
- Eliminating t does not remove the original parameter restrictions.
- What is direction and rate along a curve?Parametric Equations and Motion
- The orientation and rate information carried by increasing parameter values.
- What condition or caution matters when using direction and rate along a curve?Parametric Equations and Motion
- Slope is not generally the same as speed.
- What is modulus and argument?Complex Numbers in Polar Form
- The distance and angular direction of a nonzero complex number.
- What condition or caution matters when using modulus and argument?Complex Numbers in Polar Form
- Zero has no unique argument.
- What is de moivre and complex roots?Complex Numbers in Polar Form
- A rule for integer powers and evenly spaced roots in complex polar form.
- What condition or caution matters when using de moivre and complex roots?Complex Numbers in Polar Form
- Multiply the argument by n when taking the nth power; divide it when finding roots.