10 Cylindrical coordinates are usually more convenient for representing cylindrical surfaces as they often result in simpler equations.
11 Vertical planes containing the z-axis and horizontal planes also have simple cylindrical coordinate equations
12 Example 3 aFind an equation in cylindrical coordinates for the surfaces represented by the rectangular equation:
13 Solution to 3a From the preceding section, you know that x2 + y2 = 4z2 is a “double napped” cone with its axis along the z-axis as shown.If you replace x2 + y2 with r2, the equation in cylindricalCoordinates is r2 = 4z2x2 + y2 = 4z2 Rectangular equationr2 = 4z Cylindrical equation
14 Example 3bFind an equation in cylindrical coordinates for the surfaces represented by the rectangular equation:
18 Changing between coordinates on the TI 89 Press 2nd 5 (math) – 4 matrices – L Vecor opsTo polar, to cynd To convert rectangular to Polar (2 D) or cylindrical (3D)[1,2] to Polar (to expressed with a triangle)[1,2,3] to Cylind
19 Note: Homework do the assignment sheet plus the activity on the class website.This is a polar bear in rectangular formBonus material on thenext slides
20 Need Help?If you are ever in need of assistance type in the following equation:See the next slide