Question

3 part?

Answer 1

for part I what do you get when you multiply both sides by r?

Answer 2

r = -6sin(theta)

you just need to multiply the left side by r and the right side by r

Answer 3

wait so -6 *sin(theta)

Answer 4

you are given r = -6sin(theta)

the directions say to multiply both sides by r

so what do you get after that?

Answer 5

would it just be -6sin(theta)* -6sin(theta)

Answer 6

just the letter r, not -6sin(theta)

Answer 7

-6sin(theta)*r

Answer 8

?

Answer 9

good what about the left side?

Answer 10

oh

r^2=-6sin(theta)*r

Answer 11

good

using the fact that r^2 = x^2 + y^2 and the fact that rsin(theta) = y, convert the equation to x and y form

Answer 12

you have

r^2 = -6rsin(theta)

you can replace "r^2" with "x^2+y^2"

you can also replace "rsin(theta)" with y

Answer 13

so basically x^2+y^2=y

Answer 14

almost, don't forget about that -6

x^2 + y^2 = -6y

now for part II complete the square on the y terms

Answer 15

not sure where that ^3 came from

x^2 + (y+3)^2 = 9

is your equation

now for part III what shape is the graph of this equation?

Answer 16

circle

Answer 17

good so that's it