Question

• r(t)=[cos(t),sin(t),cos(3t)]
• r(t)=[tcos(t),tsin(t),t)
• r(t)=[cos(t),sin(t),t2]
• r(t)=[t2cos(t),t2sin(t),t]
• r(t)=[cos(t),t,sin(t)]

Sketch the graphs.

Answer 1

1.)

2.)

3.)

4.)

5.)

If equation 3 is like

r(t)=[cos(t),sin(t),t²]

then the graph will be like this

If equation 4 is like

r(t)=[t²cos(t),t²sin(t),t]

then the graph will be like this

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