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Name____________________________________
Precalculus H
Review Ch. 9B Parametric and Polar
1.
(a) Eliminate the parameter and write the equation 2.
in general conic form.
x  4t 2 , y  2t  3
(b) Eliminate the parameter and write the equation
in general conic form.
x  2t 2 , y  3t  2
3.
Graph and label each of the following:


A.  4,  
3

7 

B.  0, 

6 

C.
 3,
D.
4
 210

2,  330

Date________
Period_______
(a) Eliminate the parameter and write the equation
in general conic form.
x  4  3cos  ,
y  2  sin 
(b) Eliminate the parameter and write the equation
in general conic form.
x  4  3cos  ,
y  2  2sin 
4.
6.
Identify the conic.
a) r 
16
2  cos 
b) r 
3
4  8cos 
Convert the coordinate from polar to rectangular.
(Use exact values)
5 

a)  8,

6 

5 

b)  2,

4 

5.
Identify the conic:
a) r 
1
2  2 cos 
r
8
4  3sin 
b)
7.
Convert the coordinate from rectangular to polar.
a)
 3,
 3
b)
 3,
5


Convert the equation from rectangular to polar form, solve for r or r2.
8. (a) x  y 2  12 y
9. (a) x 2  y 2  4 x  6 y  0
(b) 2 x2  2 y 2  2 x  4 y  0
(b) x  2 y  4
Convert the equation from polar to rectangular form.
3
10.
(a) r 
sin   2 cos 
(b) r 
6
2sin   3cos 
11. (a) r  4sin 
(b) r  5cos
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