作業四

STAR1.GIF (1234 bytes)4-1 Construct this pretty flower:imagep6g.jpg (2835 bytes)
STAR2.GIF (3021 bytes)4-2 Construct the line segments joining (cos(t),0) with (0,sin(t)) as t ranges over [0,2p].
STAR1.GIF (1234 bytes)4-3 Construct the velocity vector field along a constant motion around a circle.
STAR2.GIF (3021 bytes)4-4 Construct this figure:
STAR1.GIF (1234 bytes)4-5 Construct the line segments joining [cos(t),sin(t)] with [cos(2t),sin(2t)] as t ranges over [0,2p].
STAR2.GIF (3021 bytes)4-6 Construct this figure:
STAR1.GIF (1234 bytes)4-7 Construct this graph associated with the logistic equation x ' = ax(1-x)
with a=3.7
STAR2.GIF (3021 bytes)4-8 Draw 20 concentric circles as thus:imagebl9.jpg (33285 bytes)
STAR1.GIF (1234 bytes)4-9 Construct the circles with center at (cos(t),sin(t)) passing through the point (1,0) with t ranging over [0,2p].
STAR2.GIF (3021 bytes)4-10 Construct the circles with center at (cos(t),sin(t)) and tangent to the y-axis with t ranging over [0,2p].
STAR1.GIF (1234 bytes)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 [0,2p].
STAR2.GIF (3021 bytes)4-12 Construct this figure:
STAR1.GIF (1234 bytes)4-13 Construct this pattern:
STAR1.GIF (1234 bytes)4-14 Construct the reflections of a light ray inside a square: