2000 Summer Session 4


4-1 Construct this pretty flower



4-2 Construct the line segments joining (cos(t),0) with (0,sin(t)) as t ranges over [0,2Pi].


4-3 Construct the velocity vector field along a constant motion around a circle.




4-4 Construct this figure



4-5 Construct the line segments joining [cos(t),sin(t)] with [cos(2t),sin(2t)] as t ranges over [0,2p].



4-6 Construct this figure


4-7 Construct this graph associated with the logistic equation  x ' = ax(1-x) with a=3.7



4-8 Draw 20 concentric circles



4-9 Construct the circles with center at (cos(t),sin(t)) passing through the point (1,0) with t ranging over [0,2Pi]


4-10 Construct the circles with center at (cos(t),sin(t)) and tangent to the y-axis with t ranging over [0,2p].



4-11  Construct the circles with center at (cos(t),sin(t)) and and passing through (2cos(t)/3+cos(2t)/3,2sin(t)/3+sin(2t)/3) with t ranging over [0,2Pi].

another figure
  Construct the circles with center at (cos(t),sin(t)) and and passing through (2cos(t)/3+cos(2t)/3,2sin(t)/3-sin(2t)/3) with t ranging over [0,2Pi].



4-12  Construct the figure


4-13 Construct this pattern



4-14 Construct the reflections of a light ray inside a square