Day 6 parametric worked
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This document discusses parametric equations and motion. It provides examples of parametrizing lines and circles using parametric equations with a parameter t. It gives two examples each of graphing parametric equations for a given parameter interval, eliminating the parameter to get a standard equation, and finding the parametric equations of a line given two points. It assigns homework problems from the textbook on these topics involving parametric equations.
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Day 6 parametric worked
- 2. Pre-Calculus Section 6.3 in your book…
- 3. Parametric Equations and Motion Parametric equations is the graph of the ordered pairs (x, y), where: x = f (t) y = g (t) Basically, the x and y coordinates both have their own functions to define each coordinate. t is the parameter
- 4. Example 1 – calc in PAR mode For the given parameter interval, graph the parametric equations: x = t2 – 2, y = 3t A. -3 ≤ t ≤ 1 B. -2 ≤ t ≤ 3 C. -3 ≤ t ≤ 3
- 5. Example 2 – Eliminating the parameter x = 1 – 2t and y = 2 – t
- 6. Example 3 – Eliminating the parameter x = t2 - 2 and y = 3t.
- 7. Example 4 – Eliminating the parameter Eliminate the parameter for: x = 2cos(t) and y = 2sin(t).
- 8. Example 5: Finding parametric equations (Going from the line to the parametrization) Find a parametrization of the line through the points A = (-2, 3) and B = (3, 6)
- 9. Same thing – one more time Find a parametrization of the line through the points A = (4, 5) and B = (-1, 7)
- 10. Find the parametrization A circle with center at (1, 3) and radius 7.
- 11. Homework! p. 530 (1-4, 20-32 even)