Determine the points at which the limacon defined by the polar equation r = 3+ 2 sin 0 has horizontal and vertical lines.

Q: Q2\ Replace the following polar equation by equivalent Cartesian equation and identify their graphs…

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Q: Do a complete analysis to determine the points of intersection of the polar curves r = 4 sin 0 and…

A: We need to find the points of intersection. So,              4sinθ=1+2sinθ⇒sinθ=12⇒θ=π6+2πn,…

Q: Determine the area inside 1 petal of the polar flower graphed by the equation r = 2 sin 50. -2 --2-…

A: The equation is r=2sin5θ Now we have to find where the loop begins and ends by putting r=0 0=sin5θ…

Q: Convert the polar equation = 2 sin(0) into Cartesian and describe this shape.

A: we have to convert the given polar equation into Cartesian equation

Q: Which of the following represents the polar equation r= (tan²0)(csc) as a rectangular equation?

A: We know that the polar and rectangular relation  x=r*cos(theta)  And  y=r*sin(theta)

Q: 1a) Convert the Cartesian equation (x^2 +y^2-1)^2 +4y^2-1 = 0 to polar coordinates. (make it as an…

A: Given:  Cartesian equation (x^2 +y^2-1)^2 +4y^2-1 = 0

Q: Convert the Cartesian equation y = x2 + 2x into a polar equation (you should be able to simplify…

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