Precalculus

Let G be the graph of the parametric equations x=cos(4t)and y=sin(6t). What is the length of the smallest interval I such that the graph of these equations for all t in I produces the entire graph G?

  1. 👍 0
  2. 👎 0
  3. 👁 167
asked by John
  1. the period for x is pi/2
    the period for y is 2pi/3

    So, I'd say I=[-pi/3,pi/3]

    1. 👍 0
    2. 👎 0
    posted by Steve
  2. That's wrong :(
    It's not 2pi/3 or pi

    1. 👍 0
    2. 👎 0
    posted by John

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math: Parametric Equations

    Let G be the graph of the parametric equations x = cos(4t), y = sin(6t). What is the length of the smallest interval P such that the graph of these equations for all t E P produces the entire graph G? (The "E" represents the

    asked by Katie on April 9, 2016
  2. Precalculus

    Let G be the graph of the parametric equations x=cos(4t)and y=sin(6t). What is the length of the smallest interval I such that the graph of these equations for all t in I produces the entire graph G?

    asked by John on February 28, 2014
  3. Math

    Let G be the graph of the parametric equations x = cos(4t), y = sin(6t). What is the length of the smallest interval P such that the graph of these equations for all t E P produces the entire graph G?

    asked by Bob on July 30, 2016
  4. Precalculus

    Find the sum of all possible values of the constant k such that the graph of the parametric equations x=2+4cos(s) and y=k-4sin(s) intersects the graph of the parametric equations x=1+cos(t) and y=-3+sin(t) at only one point.

    asked by John on March 2, 2014
  5. Precalculus

    Find the sum of all possible values of the constant k such that the graph of the parametric equations x=2+4cos(s) and y=k-4sin(s) intersects the graph of the parametric equations x=1+cos(t) and y=-3+sin(t) at only one point.

    asked by John on February 28, 2014
  6. Math: Parametric Equations

    The graph of the parametric equations x=cos(t) y=sin(t) meets the graph of the parametric equations x=2+4cos(s) y=3+4sin(s) at two points. Find the slope of the line between these two points. So far I've set up the system of

    asked by Katie on April 10, 2016
  7. precalculus

    To what interval I must we restrict the parameter t if the graph of the parametric equations x=t+1 y = 2t^2 +1 for t in the set I is identical to the graph of the parametric equations x = 1+ sin s y = 2- cos(2s) for s in [0,pi)?

    asked by dreidel on December 18, 2013
  8. Math

    The graph of the parametric equations x=cos(t) y=sin(t) meets the graph of the parametric equations x=2+4cos(s) y=3+4sin(s) at two points. Find the slope of the line between these two points. Please help!!!! I need this done soon

    asked by Sultan on July 30, 2016
  9. Precalculus

    The graph of the parametric equations x=cos(t), y=sin(t) meets the graph of the parametric equations x=2+4cos(s), y=3+4sin(s), at two points. Find the slope of the line between these two points.

    asked by Phil on April 9, 2016
  10. Precalculus

    Let $\mathcal{G}$ be the graph of the parametric equations \begin{align*} x &= \cos(4t),\\ y &= \sin(6t). \end{align*}What is the length of the smallest interval $I$ such that the graph of these equations for all $t\in I$ produces

    asked by Zheng on January 31, 2017

More Similar Questions