In each case you will simply modify the code provided in the demo to produce the

graphs you want. You’ll need to revise not only the definitions of r t and of its domain, but

also the viewing window for the graph of r t . Use %% as in the demo to divide your m-file into

sections, with appropriate labeling.

1. r t sint, t,cost , 0 t 4 . (This is a simplified version of one of the examples; is

the graph of t surprising?)

2. 2 r t sint, t ,cost , 0 t 4 . (You’ll need y = t.^2, not y = t^2, and

similarly for td. But not in the symbolic portion: There you just want

r = [sin(tt) tt^2 cos(tt)]. Note the fall-off in t .)

3. 2 ,4 , t t t e e t r , 0 t 1. (Think about an appropriate viewing box.)

4. r t sin 4t,sin5t,cost , 0 t 2 . (Again: sin(4.*t). The graph of r t is a

three-dimensional version of what is known as a Lissajous figure. The graph of t

clearly shows some points of maximum curvature; can you see where those points of

maximum curvature are on the graph of r t ?)

#graph #threedimensional #version