Section | You should be able to ... | Examples | Review Exercises |
9.1 | 1 Graph parametric equations (p. 637) | 1 | 1(b)–6(b) |
| 2 Find a rectangular equation for a curve represented parametrically (p. 638) | 2–4 | 1(a)–6(a), 1(c)–6(c) |
| 3 Use time as the parameter in parametric equations (p. 640) | 5 | 13, 48, 49 |
| 4 Convert a rectangular equation to parametric equations (p. 641) | 6, 7 | 11, 12 |
9.2 | 1 Find an equation of the tangent line at a point on a plane curve (p. 648) | 1–4 | 7–10, 50, 51 |
| 2 Find arc length of a plane curve (p. 651) | 5, 6 | 52–55 |
9.3 | 1 Find the surface area of a solid of revolution obtained from parametric equations (p. 658) | 1 | 63, 64 |
| 2 Find the surface area of a solid of revolution obtained from a rectangular equation (p. 659) | 2 | 65, 66 |
9.4 | 1 Plot points using polar coordinates (p. 661) | 1, 2 | 14–17 |
| 2 Convert between rectangular coordinates and polar coordinates (pp. 664) | 3, 4 | 14–31 |
| 3 Identify and graph polar equations (pp. 666) | 5, 6 | 32–35 |
9.5 | 1 Graph a polar equation; find parametric equations (pp. 671) | 1–5 | 36–45 |
| 2 Find the arc length of a curve represented by a polar equation (p. 675) | 6 | 56–59 |
9.6 | 1 Find the area of a region enclosed by the graph of a polar equation (p. 678) | 1–4 | 60 |
| 2 Find the area of a region enclosed by the graphs of two polar equations (p. 681) | 5 | 61, 62 |
| 3 Find the surface area of a solid of revolution obtained from the graph of a polar equation (p. 682) | 6 | 67 |
9.7 | 1 Express a conic as a polar equation (p. 686) | 1, 2 | 46, 47 |