Identify the graph of the polar equation $r=a+b \cos \theta \text {, where } 1 \leq \frac{a}{b} \leq 2 \text {. }$
A) cardioid
B) rose curve
C) limaçon with inner loop
D) dimpled limaçon
E) convex limaçon

Question

Quizplus · Accepted Answer

When $1 \leq \frac{a}{b} \leq 2$, the polar equation $r = a + b \cos \theta$ represents a dimpled limaçon.

Identify the Graph of the Polar Equation r=a+bcos⁡θ, where 1≤ab≤2. r=a+b \cos \theta \text {, where } 1 \leq \frac{a}{b} \leq 2 \text {. }r=a+bcosθ, where 1≤ba​≤2.

Identify the Graph of the Polar Equation $r=a+b \cos \theta \text {, where } 1 \leq \frac{a}{b} \leq 2 \text {. }$