>

Exercise 52, Section 14.5

> restart;

> with( plots ):

>

Parametric curve for Exercise 52 (Section 14.5)

> x := sin(t);

> y := cos(t);

> z := t^2-3*t+2;

> PARAM := t = 0..20;

x := sin(t)

y := cos(t)

z := t^2-3*t+2

PARAM := t = 0 .. 20

>

The position and velocity vectors are

> R := [ x, y, z ];

R := [sin(t), cos(t), t^2-3*t+2]

> V := diff( R, t );

V := [cos(t), -sin(t), 2*t-3]

a)

b)

c)

d)

e)

>