The Cartesian coordinates of a point are given. (2, −5) (i) Find polar coordinates (r, θ) of the point, where r > 0 and 0 ≤ θ < 2π. (r, θ) = (ii) Find polar coordinates (r, θ) of the point, where r < 0 and 0 ≤ θ < 2π. (r, θ) =
The Cartesian coordinates of a point are given. (2, −5) (i) Find polar coordinates (r, θ)...
(3 points) (a) The Cartesian coordinates of a point are (-1,-V3) (i) Find polar coordinates (r,0) of the point, where r > 0 and 0 < θ < 2π. (ii) Find polar coordinates (r,0) of the point, where r < 0 and 0 < θ < 2π. Y= (b) The Cartesian coordinates of a point are -2,3) (i) Find polar coordinates (r,0) of the point, where r > 0 and 0 < θ < 2π. (ii) Find polar coordinates (r,0)...
A curve in polar coordinates is given by: r = 9 + 2 cos θ Point P is at θ = 20π/18 (1) Find polar coordinate r for P, with r > 0 and π < θ < 3π/2. (2) Find cartesian coordinates for point P (3) How may times does the curve pass through the origin when 0 < θ < 2π?
Given the two Cartesian points below: a. (-3,3) b. (4, -2) For each point, (i) Find the polar coordinates (r, θ) of the point, where r > 0 and 0 ≤ θ < 2π. (ii) Find the polar coordinates (r, θ) of the point, where r < 0 and 0 ≤ θ < 2π. Give exact answers.
Part (b) only, The Cartesian coordinates of a point are given. (a) (-6, 6) (i) Find polar coordinates (r, 0) of the point, where r> 0 and 0 5 0 < 21. (6, 6) = ( 6v2, 37 (ii) Find polar coordinates (r, O) of the point, where r<0 and 0 S 0 < 21. (5, 6) = ( -622, 71 (b) (3,3V3) (i) Find polar coordinates (r, 0) of the point, where r>0 and 0 = 0 < 21....
coondinates all the polar the polnt Cartesian coondinates of the given point 13) B) a, 0) ๑ (.3, 0) Find the polar coordinates, os02n and ro, of the point given in Cartesian coordinates. 14) 14) (-2, 0) Replace the polar equation with an equivalent Cartesian equation. 15) 15) rcos θ" 11 D) 1ly-1 B) 11x -1 A)x 11 FORM A coondinates all the polar the polnt Cartesian coondinates of the given point 13) B) a, 0) ๑ (.3, 0) Find...
Use a polar coordinate system to plot the point with the given polar coordinates. Then find another representation (r,θ) of this point in which: Use a polar coordinate system to plot the point with the given polar coordinates. Then find another representation (r,0) of this point in which: (b) r< 0,0 <θ<2x. Choose the correct graph below. O A O B O C. O D. ピ -5 (a) What are the coordinates of the point for which r > 0,...
Find two other pairs of polar coordinates of the given polar coordinate, one with r> 0 and one with r< 0. Then plot the point. (a) (5, 5t/3) (r, θ) (r, θ) = (r>o) (r 0) (r < 0) (r 0) (r, θ) (r < 0) = Find two other pairs of polar coordinates of the given polar coordinate, one with r> 0 and one with ro) (r 0) (r
The polar coordinates of a certain point are (r = 3.50 cm, θ = 211°). The polar coordinates of a certain point are (r = 3.50 cm, e = 211°). (a) Find its Cartesian coordinates x and y. x = -3.04 cm y = -1.8 cm (b) Find the polar coordinates of the points with Cartesian coordinates (-x, y). r = 3.53 cm e = -1.69 Your response differs significantly from the correct answer. Rework your solution from the beginning...
Find two other pairs of polar coordinates of the given polar coordinate, one with r > 0 and one with r < 0. Then plot the point. (a) (4, −3π/4) (b) (−4, π/6) (c) (4, π/4) (d) (3, -2π/3) (e) (-3, π/6) FIND (r, θ),,,,,(r > 0) and (r < 0)
Cartesian coordinates of a point are (-3, -3). Plot the points. Find one set of polar coordinates (r, theta) for the point such that r>0, 0<theta<2pi. Find one set of polar coordinates where r<0 and 0<theta<2pi.