What is the name of the shape graphed by the function r = 1 -2 sin theta

Limacon of Pascal

Step-by-step explanation:

The given polar functin is

r =1-2sint

We find that when r =0

2sint =1

sint =1/2

Or t = 60, 120

SO it passes through origin for 60, 120 degrees

There is a loop formed between 30 and 150 and again it completes a big round around the loop

When R=1, we find t =0, pi, 2pi

When R=2, we get sint =-1/2

Hence angles are 210 and 330 degrees

Since sin t lies between -1 and 1 only we have

When sint =-1, r has maximum 3

and when sint =1, r cannot have -1 but 0

So r can take values between 0 and 3

step-by-step explanation:

this woman was an important writer and propagandist during the american revolution. she was a member of the committee of correspondence (in fact the committee was formed in her home) and was an advisor to many of the revolutionary leaders, including george washington and john adams. who was this revolutionary woman?

i can't read the graph

step-by-step explanation: