Exercises 5-22, a parametrization si given for a curve.
(a) Graph the curve. What are the initial and terminal
any? Indicate thedirection ni which the curvesi traced.
(b) Find a Cartesian equation for a curve that contains the parametrized curve. What portionofthe graph of the Cartesian equation istraced by het parametrized curve?
5.x=31, y=917, 0-<1<00 6. x= -Vi, y= 1, 120
7.x= ,1 y= Vi. 120
8 . x = ( s e c ? t ) - , 1 y = t a n t , - ” / 2 < 1 くm / 2
9.x=cost, y=sint, 0515 a
10. x= sin (2nt), y= cos (2mt), 0 ≤ 1≤ ,1
11. x= cos( T- t), y = sin( m- 0). 0 S i s T
12.x=4cost,y=2sint. 0≤1≤27 13. x= 4sint, y= 2cost, 0515 n
parameter interval that traces the c u r v e exactly 1. x= 3sin (21), y= 1.5 cos t
2. x= sni? ,1 y= cos',
3. x= 7sin /- sin (71),
4.x=21sint-3sin(61),
a()
once.
points, fi
)c(
5.12
(a) Va? = a (c) V4a? = a|2|
(b)Va?= at
'y= 7 cos