Identify, graph, and state the symmetries for the polar equation r=2+2sintheta. which are the critical points in the graph?

Graph = Cardioid

Axis of symmetry = y-axis

Critical points=

Step-by-step explanation:

General equation for this type of cardioid is:

a ± b sinθ

Condition for a cardioid =

Axis of symmerty according to the graph of 2 + 2 sinθ is along y-axis.

Critical points:

r = 2 + 2 sinθ  ⇒ r = 2(1 + sinθ) ⇒ r' = 2 cosθ  

 ∵derivative of 1 + sinθ = cosθ

For finding critical point the derivative is equal to zero,

2 cosθ = 0    ⇒    cosθ = 0

the value of cosθ is equal to zero at intervals:

So, critical points =

16.9 times 2.85

step-by-step explanation:

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.