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.
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) =
(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)...
Sign In d share 1. Plot the points (r, θ)-(3, π), ( 2år) , (1, π/4) and find the Eport PDA Create FDF Edit PDF rectangular (Cartesian) coordinates of the ponts without using a ca culator 2. Plot the point with rectangular coordinates (z, y)- and find the polar coordinates (r,0) for the point with r > 0 and 0 < θ < 2π without using a calculator. Then, find two other ways to write the point in polar coordinates....
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....
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?
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...
-27 (125-14)- Graph the two points given below and answer the following question. A Yes" or 'No without a graph will not be graded. Determine if the given polar coordinates represent the same point. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find all the polar coordinates of the point. 5) 5) (-9, r/3) A) (9, 4n/3+2nnt). (-9, T/3+2nn) Find the Cartesian coordinates of the given point. 014 4 A) (2/3,-2) Form A...
The magnetic field intensity in all of space is given in terms of spherical coordinates: (1 point) The magnetic field intensity in all of space is given in terms of spherical coordinates: A/m. sin θ Use this knowledge in both parts below. (a) Find the current density (in spherical coordinates) at the point P, whose Cartesian coordinates are (z,ys) = (85,-15,-2). ANSWER: At P, J a+ ag+ ap A/m2 (b) Find the net current, I,flowing through the conical surface S...
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,...
The region inside the curve r= 4 cos θ and outside the curve r = 2. r(t) 2 rt)4cos(t) -1 What are the coordinates of the point where the two circles intersect at the top of the picture in terms of (r,0) What are the coordinates of the same point in cartesians coordinates (x.y)? Give an equivalent version of the point in polar coordinates with r <o. What is the slope of of the tangent line to the circler 2...