Find the length of the latus rectum of the curve r = 2/(1 - cos( theta )) in polar coordinates.

Q: Consider the curve defined by the parametric equations X = cos t, y = 3sec t on the interval…

A: To eliminate t and find cartesian equation.

Q: eliminating the parameter t from the parametric equation x = 3 cost y = 3 sin t, find the…

A: First we square both given equation and then adding both and solve it.

Q: rm (r, "/3) fron polar into rectangula Iorm any posit radius

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Q: Find where the polar function f (theta) = 6 cos(theta) has a vertical tangents over [0,2pi]

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Q: Eliminate the parameter t from the parametric equations x = 3 + sin t and y = cos t − 2. Graph the…

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Q: Graph the curve with parametric equations x = sin(t), y = 2 sin(2t), z = sin(3t). And Find the…

A: The parametric equation of the curve is: x=sint, y=2sin2t, z=sin3t. To Do:We have to graph the given…

Q: Sketch with directio

A: Given:  Three polar coordinates. We have to sketch the graph with their directions.

Q: For the polar curve r=4sin(theta) Calculate all the points at which the curve has horizontal and…

A: The given problem is to find the points on curve at which the horizontal and vertical tangent lines…

Q: Find the exact length of the polar curve. r = theta^2,    0 ≤ ,theta ≤ pi/4

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Q: Find the distance on the xy plane between the two points, given below as polar coordinates (7,…

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Q: 1 Sketch the curve r=-+sin0 cos 0 ,0 < 0<2n in the polar plane.

A: Any point on the Cartesian coordinate system is represented as x, y. Any point on the polar…

Q: Use a graphing device to graph the following polar curves. Sketch the graph and explain how you…

A: (a) Consider the given polar equation r = esin(θ) - 2cos(4θ) The period of sin and cos function is…