Solução_Calculo_Stewart_6e

F.
TX.10
SECTION 10.3 POLAR COORDINATES ¤ 425
29. θ = −π/6 31. r =sinθ ⇔ r 2 = r sin θ ⇔ x 2 + y 2 = y ⇔
x 2 +
y − 1 2
=
1 2
. The reasoning here is the same
2 2
as in Exercise 17. This is a circle of radius 1 2 centered at 0, 1 2
.
33. r =2(1− sin θ). This curve is a cardioid. 35. r = θ, θ ≥ 0
37. r =4sin3θ
39. r =2cos4θ
41. r =1− 2sinθ