Given the following polar equations, find the eccentricity and identify the type of conic; write an equation of the directrix corresponding to the focus on at the pole; find its key points; and sketch the graph. 28 1. r = 4+4 sin 0

Q: Give two other polar coordinates for the point (2,pi/4). Make sure one has a positive radius and the…

A: Given, r, θ=2, π4 To find other two polar coordinates. Here,r=2 and θ=π4

Q: Find the intersections and symmetry for the polar equation r sine and then draw it.

A: Any point on the Cartesian coordinate system is represented by the ordered pair: x, y. Any point on…

Q: Graph the polar equation below by first selecting the correct symmetry, then selecting the correct…

A: The given polar equation is: r=-7sinθ+7 To Do: graph the polar equation by selecting correct…

Q: Convert each equation between Polar and Rectangular forms. A. Rectangular Form is: y = 3 B. Polar…

A: A)

Q: r = 7 cos (0) - 7

A: Substitute the appropriate combination of components for (r, θ).        (-r, -θ) for θ = π2(r,-θ)…

Q: Graph the equations r = 2 and θ = π / 3 on the same set of polar axes.

A: Given, r=2, and θ=π3

Q: 6. Sketch the graph of the following polar equation and write the equation in rectangular form.…

A:

Q: a. Identify the conic section that polar equation r =8/(2 + 2 sin θ)represents.b. Describe the…

A: a. The given equation is r=82+2sinθ. Rewrite this as r=41+sinθ.

Q: Plot the following points (given in polar coordinates). Then find all the polar coordinates of each…

A: Plot the given points as follows.