1. Find the rectangular coordinates of the points whose polar coordinates are given. (a) (6, π/6) (b) (7, 2π/3) (c) (-6, -5π/6) (d) (0, -π) (e) (7, 17π/6) (f) (-5,0) 2. In each part, a point is given in rectangular coordinates. Find two pairs of polar coordinates for the point, one pair satisfying r≥ 0 and 0≤0 ≤2, and the secon pair satisfying r20 and 2n≤ 0 ≤ 0, (a) (-5,0) (b) (2√3,-2) (c) (0, -2) (d) (-8,-8) (e) (-3,3-√3)

Q: Plot (-6, - 3π/4) and (-6,5π/4) on the same polar plane.

A: We have to plot the polar graph

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: Match the points in polar coordinates (r,θ) which represent the same point. (1,5π/4) =…

A: We have to match the points in polar coordinates (r,θ) which represent the same point.…

Q: Graph the points (3, 45 degree), (2, -4p/3), (-4, p/3), and (25, -210 degree )on a polar coordinate…

A: The given points are (3, 45 degree), (2, -4p/3), (-4, p/3), and (25, -210 degree ) Plot the above…

Q: Q1) Convert the point p = (2,) in the polar coordinate system to its Cartesian coordinate…

A: We know that conversion from polar coordinate (r, θ) to Cartesian coordinate (x, y) is as follows:…

Q: The Cartesian coordinates of a point are given. (a)     (−9, 9)   (i) Find polar coordinates  (r,…

A:

Q: In each part, find the rectangular coordinates of the point whose polar coordinates are given. (a)…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Perform the indicated operation and convert your final answer to polar form z = r(cos0 + isin®) 1.)®…

A:

Q: Find the rectangular coordinates ( x y, ) of the point in polar form given by ( -3, -3pi )

A:

Q: match the polar coordinates:  (3,0)  (3,π) (3, π/2)  (3, π/4) (-3√2, (-3π/4)) (-3, (3π/2))…

A: Polar coordinates:  (3,0) , (3,π) , (3, π/2) , (3, π/4), (-3√2, -3π/4), (-3, (3π/2)), (3,3), (3√2,…