For a $\neq$ 0, the polar curve $r = a ( 5 + 2 \sin \theta )$ is a

A)Circle
B)Cardioid
C)Limaçon with inner loop
D)Dimpled limaçon
E)Convex limaçon

Name: For a $\neq$ 0, the polar curve $r = a ( 5 + 2 \sin \theta )$ is a A)Circle B)Cardioid C)Limaçon with inner loop D)Dimpled limaçon E)Convex limaçon
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Question

For a $\neq$ 0, the polar curve $r = a ( 5 + 2 \sin \theta )$ is a

A)Circle
B)Cardioid
C)Limaçon with inner loop
D)Dimpled limaçon
E)Convex limaçon

Quizplus · Accepted Answer

The given polar equation $r = a (5 + 2 \sin \theta)$ represents a limaçon. Since the coefficient of $\sin \theta$ (which is 2) is less than the constant term (which is 5), the limaçon is convex.

For A ≠\neq= 0, the Polar Curve r=a(5+2sin⁡θ)r = a ( 5 + 2 \sin \theta )r=a(5+2sinθ)

For A $\neq$ 0, the Polar Curve $r = a ( 5 + 2 \sin \theta )$