1. Match each equation in rectangular coordinates with its equation in polar coordinates: (a) x² + y² = 4 r² (1-2 sin²0) = 4 r(cos+ sin 0) = 4 r=2 sin 0 r = 2 (b) x² + (y − 1)² = 1 O r² (1-2 sin²0) = 4 r(cos 0 + sin 0) = 4 r=2 sin 0 Or=2 (c) x+y=4 O r² (1-2 sin² 0) = 4 r(cos 0 + sin 0) = 4 r = 2 sin 0 r = 2

What is the polar form of the equation? 2 (x + 2) + y² = 4 O r(r+ 4 sin 0) = 0 O p2 = 4r cos O O r(r+4 cos 0) = 0 O p² = 4r sin 0

7= Find the area of the common interior of the polar equations = 2(1 + sine) and 7 = 2(1 - sine) by sketching the graph of the equations using the graphing utility. Select one: a. 4(3π-8) O b. 2(3-4) ○ c. 2(π-4) d. 4(3π+8) e. 2(3π-8)

4. Match each equation in rectangular coordinates with its equation in polar coordinates. (a) x² + y² = 4 (b) x²+(y-1)=1 (c) x² - y² = 4 (d) x+y=4 (i) r²(1-2 sin²0) = 4 == (ii) r(cos + sin 0) = 4 (iii) r = 2 sin (iv) r=2