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Fittoniya [83]
3 years ago
7

The graph of a limacon curve is given. Without using your graphing calculator, determine which equation is correct for the graph

.
r = 2 + 2 sin θ
r = 3 + 2 sin θ
r = 1 + 3 sin θ
r = 3 + sin θ

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
3 0

Answer:

  r = 3 + sin(θ)

Step-by-step explanation:

The curve extends below the x-axis, so the added constant must be larger than the coefficient of the sine function. There are two choices matching that description.

The extent in the -y (θ=-π/2) direction looks to be about 2/3 of the extent in the +x (θ=0) direction, so we expect the appropriate equation is ...

  r = 3 + sin(θ)

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