1. Consider The set of parametric equations
x(t)=5cos(2t) 0≤ t ≥2π
y(t)=2sin(6t) t step = 0.06
mode fune ©par pol seq

a) Use techology to give a graph of this set of equations. Provide direction of your curve
(use arrows to indicate this).
b)Use calculus to determine two values of t when the curve is horizontal.
c)What points are these on your curve?
d) Use your graph to determine the other 4 points where the curve is horizontal (give exact values)

Question

1. Consider The set of parametric equations 
      x(t)=5cos(2t)                    0≤ t ≥2π
       y(t)=2sin(6t)                     t step = 0.06
mode   fune    ©par    pol    seq


a) Use techology to give a graph of this set of equations.  Provide direction of your curve 
     (use arrows to indicate this).
b)Use calculus to determine two values of t when the curve is horizontal.
c)What points are these on your curve?
d) Use your graph to determine the other 4 points where the curve is horizontal (give exact values)

anonymous · Answer

What kind of tech is available to you?

anonymous · Answer

Quick plot, courtesy of W|A: http://www.wolframalpha.com/input/?i=ParametricPlot%5B%7B5Cos%5B2t%5D%2C2Sin%5B6t%5D%7D%2C%7Bt%2C0%2C2Pi%7D%5D

anonymous · Answer

mode par