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Unit 9: Parametric equations, polar coordinates, and vector-valued functions
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While we're often familiar with functions that output just one variable and are graphed with Cartesian coordinates, there are other possibilities! Vector-valued functions, for example, can output multiple variables. Polar functions, too, differ, using polar coordinates for graphing. We can still explore these functions with derivatives and integrals.Practice
- Parametric equations differentiationGet 3 of 4 questions to level up!
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- Second derivatives (parametric functions)Get 3 of 4 questions to level up!
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- Parametric curve arc lengthGet 3 of 4 questions to level up!
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- Vector-valued functions differentiationGet 3 of 4 questions to level up!
- Second derivatives (vector-valued functions)Get 3 of 4 questions to level up!
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- Planar motion (differential calc)Get 3 of 4 questions to level up!
- Motion along a curve (differential calc)Get 3 of 4 questions to level up!
- Planar motion (with integrals)Get 3 of 4 questions to level up!
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- Differentiate polar functionsGet 3 of 4 questions to level up!
- Tangents to polar curvesGet 3 of 4 questions to level up!
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- Area bounded by polar curves introGet 3 of 4 questions to level up!
- Area bounded by polar curvesGet 3 of 4 questions to level up!
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- Area between two polar curvesGet 3 of 4 questions to level up!
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- Area with polar functions (calculator-active)Get 3 of 4 questions to level up!
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