For the given polar curve, identify the conic, find the equation of the directrix, and sketch it: r = 5 / (3+8sin(theta))

Q: Rewrite the polar equation r = 5 sin(0) as a Cartesian equation.

A:

Q: The rectangle coordinates for the polar point (4,3.14/2)is

A: Given polar point is (4,π2) this is (r,θ)We know that x=rcosθ and y=rsinθSo, x=4*cos(π2)…

Q: Plot the points with polar coordinates (2, π/6) and (-3, -π/2).Give two alternative sets of…

A: First, mark the radius r = 2 then, rotate in anticlockwise direction by the angle pi/6 to get the…

Q: r= 4/ 2-2cos theta. identify the directrix and vertex

A:

Q: Find polar coordinates of the point whose rectangular coordinates are (0, -4). Express θ in radians.

A: Rectangular corrdinates = x,y = 0,-4Let, the polar coordinates be = r,θFormula for calculating r and…

Q: To graph a polar equation r = f(0), we plot all the points (r, 0) that the equation.

A: Given

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

A: Plot the given points as follows.

Q: Find the polar equation of the line y = 3x + 9 in terms of r and ?.

A: