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3 years ago

Classify the limaçon represented by the equation r=(1/2)-(1/2)sin(theta)

Mathematics

1 answer:

babunello [35]3 years ago

4 0

We know that

Limacons are in the form
r=a(+-)b*sin (theta) or r=a(+-)b*cos (theta)

in this problem
r=a(+-)b*sin (theta)
so
is symmetric to y axis
a=1/2
b=1/2
a/b=1---------> Cardioid (hearth shaped)

see the attached figure

the answer is the option
A. Cardioid

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And replacing we have this:

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Applying natural log on both sides we have:

$ln(0.01) \geq ln(e^{-\lambda}+ln(1+\lambda)$

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Using the Newthon Raphson method, we apply this formula:

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