Vector Functions

7.  [cos(4*t),t,sin(4*t)]

8.  > [t^2-2,t^3,t^4+1]

 

   

9.  > [t,1/(1+t^2),t^2]

 

10.  > [sin(3*t)*cos(t),sin(3*t)*sin(t),t]

              

11.  > [cos(t),sin(t),sin(5*t)]

 

12.  > [cos(t),sin(t),ln(t)]

 

15.  > [t,-t,2*t]

 

17.  > [sin(t),3,cos(t)]

18.  > [t,t,cos(t)]

 

19.  > [t^2,t^4,t^6]

 

 

20. > [sin(t),sin(t),sqrt(2)*cos(t)]

23.  > [sin(t), cos(t), t^2]

24.  > [t^4-t^2+1, t, t^2]

  

25.  > [sqrt(t), t, t^2-2]

 

26.  > [sin(t), sin(2*t), sin(3*t)]

 

 

30.  > {x^2+y^2=4,z=x*y}

   

 

Intersection:

> [2*cos(t),2*sin(t),2*sin(2*t)]

 

 

31.  > {z=sqrt(x^2+y^2),z=1+y}

 

       

 

Intersection:

> [t,(t^2-1)/2,(t^2+1)/2]

 

32.  > {z=4*x^2+y^2,y=x^2}

   

Intersection:

> [t,t^2,4*t^2+t^4]