Textbook Question
37–52. Curves to parametric equations Find parametric equations for the following curves. Include an interval for the parameter values. Answers are not unique.
The left half of the parabola y=x ² +1, originating at (0, 1)
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Table of contents
- 0. Functions
- Introduction to Functions
- Piecewise Functions
- Properties of Functions
- Common Functions
- Transformations
- Combining Functions
- Exponent rules
- Exponential Functions
- Logarithmic Functions
- Properties of Logarithms
- Exponential & Logarithmic Equations
- Introduction to Trigonometric Functions
- Graphs of Trigonometric Functions
- Trigonometric Identities
- Inverse Trigonometric Functions
- 1. Limits and Continuity
- 2. Intro to Derivatives
- 3. Techniques of Differentiation
- 4. Applications of Derivatives
- 5. Graphical Applications of Derivatives
- 6. Derivatives of Inverse, Exponential, & Logarithmic Functions
- 7. Antiderivatives & Indefinite Integrals
- 8. Definite Integrals
- 9. Graphical Applications of Integrals
- 10. Physics Applications of Integrals
- 11. Integrals of Inverse, Exponential, & Logarithmic Functions
- 12. Techniques of Integration
- 13. Intro to Differential Equations
- 14. Sequences & Series
- 15. Power Series
- 16. Parametric Equations & Polar Coordinates
16. Parametric Equations & Polar Coordinates
Parametric Equations