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

Q: Transform y = V3'x into polar form.

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

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Q: Given the polar function r = {a(1-e^2)} / {1+ecos(theta)} find an expression for dy/dx, simplified…

A: Given that r=a1−e21+ecosθ To find an expression for dy/dx.

Q: A road is shaped in the shape of the cardoid r=1000(1+cos(theta)) (polar coordinate form of the…

A: Given,

Q: calculate the area of polar equation r = 5-sin(theta)

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Q: The polar equation r = a+a cos 8, where a > 0, has a tangent line at (0, 7)

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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: Plot the poing (5/2, 5root3/2) and give polar coordinates for the poing where 0<theta < 360

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Q: Consider curve given in polar coordinates by Find the derivative r = 8 cos 0,0 ≤ 0 ≤ π/2, dr = -8…

A: We need to find out the area of the surface of revolution formed by the given function.

Q: Convert the point (3, V5) from rectangular to polar coordinates with 0 < 0 s a/2. (Round your…

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Q: Sketch the graphs of (a) r = 1. (b) θ = π /4 in polar coordinates.

A: We need to sketch the graphs of (a) r = 1 and (b) θ = π /4 in polar coordinates.

Q: Find the slope of the tangent line to the polar curve r=2cos0 at O %3D 4

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Q: 7. Find all points of intersection of the r= 3sine polar curves: such that r= 1+sine

A: We equate the two equation to find solutions.

Q: What is the formula for the derivative for dy/dx for a polar curve r=f(theta)?

A: Given that

Q: Find the length of polar curve of r=θ^2 with θ less than or equal to 7π/4 and greater or equal to 0.

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Q: Sketch with directio

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

Q: Sketch the curve (x2 + y2 )3 =4x2y2 by converting to polar coordinate system

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Q: 2) Sketch the graph of the curve with the polar equation: r= 2– sin(20).

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Q: What are the polar coordinates (r,θ) of the points of intersection of C1 curve with polar equation…

A: It is given that, It s known that at the point of intersection equation of both curves satisfies…