MidChapter Review

1
Mid-Chapter Review

• Sections 9.1-9.4

2
Name 3 other coordinates for the point.

• (6, 150)
• (6, -210)
• (-6, 330)
• (-6, -30)

3
Name 3 other coordinates for the point.

• (5, p/4)
• (5, - 7p/4)
• (-5, 5p/4)
• (-5, -3p/4)

4
Graph each of the following.

• (2.6, 5p/6) - point
• r 4.5 - circle
• ? 180- line
• ? -60- line
• r 2 2sin? curve (cardioid)

5
Identify each curve

• r 3sin3?
• r 5 3sin?
• r 3?
• r v(9sin2?)
• r 3 3sin?

rose
limaçon
Spiral of Archimedes
lemniscate
cardioid
6
Find the polar coordinate.

• (-3, 3v3)
• r2 (-3)2 (3v3)2
• r2 9 27
• r2 36
• r 6
• tan-1 (3v3/-3) -60
• ? 120
• (6, 120)

7
Find the rectangular coord.

• (5, -60)
• 5cos(-60) 5( ½ ) 2.5
• 5sin(-60) 5(-v3/2) -5v3/2
• (2.5, -5v3/2)

8
Write each equation in polar form.

• y 6
• rsin? 6
• r 6/sin?
• r 6csc?

9
Write each equation in polar form.

• x -2
• rcos? -2
• r -2/cos?
• r -2sec?

10
Write each equation in polar form p r cos(?
F)

• 2x -3y 4 0
• 2x - 3y 4 0 .-v13 -v13
  -v13 -v13
• -2x 3y - 4 0.v13 v13 v13
  
• p 4 4v13 v13 13
• F tan-1(3/-2) -56.3
• F 123.7
• 4v13 r cos (? 123.7) 13

11
Write each equation in rectangular form.

• r -4sec?
• r -4/cos?
• r cos ? -4
• x -4

12
Write each equation in rectangular form.

• 3 r cos (? - 30)
• 3 r (cos?cos30sin?sin30)
• 3 r (cos?(v3/2) sin?( ½ ))
• 3 rcos?(v3/2) rsin?( ½ )
• 3 (v3/2)x ½ y
• 6 v3x y
• v3x y -6 0
• 3x v3y - 6v3 0

13
Graph the following

• 3 r cos (? - 30)
• r 3 . cos (? - 30)

14
Review Assignment

• Page 493 1-6