Textbook Question
Spiral arc length Consider the spiral r=4θ, for θ≥0.
a. Use a trigonometric substitution to find the length of the spiral, for 0≤θ≤√8.
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
Calculus in Polar Coordinates
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