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- https://math.libretexts.org/Courses/De_Anza_College/Calculus_II%3A_Integral_Calculus/04%3A_Parametric_Equations/4.03%3A_Chapter_4_Review_ExercisesThis page offers a variety of mathematical exercises covering true or false statements, parametric curve sketching, and deriving equations. It includes tasks on finding tangent lines, computing deriva...This page offers a variety of mathematical exercises covering true or false statements, parametric curve sketching, and deriving equations. It includes tasks on finding tangent lines, computing derivatives, and determining areas and arc lengths for specified curves. Exercises involve proving/disproving statements about coordinates and equations, as well as converting parametric forms to Cartesian equations. Some final answers are also provided, detailing the results of the calculations.
- https://math.libretexts.org/Courses/De_Anza_College/Calculus_I%3A_Differential_Calculus/05%3A_Differential_Calculus_with_Parametric_Curves/5.01%3A_Parametric_Equations/5.1E%3A_Exercises_for_Section_5.1This page contains exercises on sketching curves defined by parametric equations, eliminating parameters for rectangular forms, and analyzing their properties like orientation and domains. It explores...This page contains exercises on sketching curves defined by parametric equations, eliminating parameters for rectangular forms, and analyzing their properties like orientation and domains. It explores various geometric figures such as parabolas, circles, and ellipses, and includes practical examples like projectile motion. The use of technology for graphing is encouraged, along with detailed answers summarizing curve types and their characteristics.
- https://math.libretexts.org/Courses/De_Anza_College/Calculus_II%3A_Integral_Calculus/04%3A_Parametric_Equations/4.01%3A_Parametric_Equations/4.1E%3A_Exercises_for_Section_4.1This page covers exercises on parametric equations, focusing on converting them to rectangular forms and understanding resulting curves, such as parabolas and ellipses. It includes exercises related t...This page covers exercises on parametric equations, focusing on converting them to rectangular forms and understanding resulting curves, such as parabolas and ellipses. It includes exercises related to various curves like hyperbolas and cycloids, with applications in physics. The text provides equations, expected outcomes, and solutions, promoting the use of technology for visualizing complex shapes.
