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10.1 Parametric Equations

10.1 Parametric Equations. Parametric Curve: ( f(t) , g(t) ) Parameter: t x = f(t) y = g(t). Ex 1: A cool problem!.

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10.1 Parametric Equations

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  1. 10.1 Parametric Equations • Parametric Curve: (f(t), g(t)) • Parameter: t • x = f(t) • y = g(t)

  2. Ex 1: A cool problem! Train1 leaves the train station at noon and is traveling due east on Track #5 at 60mph. Two hours later Train2 leaves the same station and is traveling due east on Track #3 at 90mph. When does the 2nd train catch the 1st?

  3. Ex 2: Sketch the Curve & Eliminate the Parameter

  4. Ex 3: Sketch the Curve & Eliminate the Parameter x = 2 cos y = ½sin 0 ≤  ≤ 2

  5. Ex 4: Sketch the Curve & Eliminate the Parameter x = 2 cos y = sin2

  6. HW – 10.1 pg. 645 #1 – 13 odds, 22 #17 – 25 odds

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