Plot the point given by the polar coordinates. 1 (19) 2. Convert each point from polar...
Need answers for 7, 9, 13, 14, and the work for each of them. Convert each point from polar to Cartesian coordinates. 71 7. 5, 4 -37 6.25, 4 Convert each point from Cartesian to polar coordinates. 13. (-3,0) 14. (-6, V3)
(a) Find Cartesian coordinates for the polar point (-1, -1) and plot the point. (b) Find Polar coordinates with r > 0 and -1 < <a for the Cartesian point (-1, V3) and plot the point. (c) Convert the equation x2 + y2 = x to polar form and sketch the curve. (d) Convert the equation r = 5 csc @ to Cartesian form and sketch the curve.
6. A point is given in rectangular coordinates. Convert the point to polar coordinates. (There are many answers). (2 pts) A) (4, -3) (2 pts) B) (-1,v3)
Plot the point whose polar coordinates are given. Then find the Cartesian coordinates of the point. (a) (2, 34/2) (x, y) = ( D (b) (2V2, A/4) (x, y) - ( (c) (-9, -A/6) --8 -6 -4 - 46
In Exercises 1-10, indicate if the point with the given polar coordinates is represented by A, B, C, or D on the graph. or 90° Tor 180° 0 or 0° B C D or 270 517 1. (3,225) 3. 4. 2. (3,315) 5. (3,7) 8. (3.-315) 6. (-3,0) 37 9. 4 (-3,- 7. (3,-135) 57 10. -3, 4
4. Given a point (-3,-) in polar representation, answer each question. a) Plot the point b) Find two additional polar representations, using -2n< < 26 c) Convert to rectangular coordinates. 5. Convert the rectangular point (V3.1) to polar coordinates where 0 <<2 6. Given a polar equation r = 4sin e a) Sketch the graph of the polar equation by completing the table. r 0 FT/6 1/2 5/6 b) Convert the polar equation into a rectangular equation,
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...
5. A point is given in polar coordinates. Convert the point to rectangular coordinates. (2 pts) A) (2,5) (2 pts) B) (3.-5)
#49,53,57 3- lar coordinates to polar coordinates will Polar Coordinates Convert blar coordinates with r> 0 and the ove describe of the the rectangular con 050<27. 37. (-1,1) be app 39. (V8, V8) 41. (3.4) 38. (3V3,-3) 40. (-V6, -V2) 42. (1,-2) 44. (0, -V3) your a (a) Yo (b) YO 43. (-6,0) Rectangular Equations to Polar Equations Convert the equation to polar form. 45. x = y *.47. y = x² 49. x = 4 46. x² + y2...
Plot the point whose spherical coordinates are given. Then find the rectangular coordinates of the point. (a) (7,7/3, 7/6) 3 3 لا | من | л л 6 6 o (x, y, z) = (b) (3, п/2, 3/4) ы Зл 3 л 4 T 3 о 3 л T 2 у y Зл 3 л 4 4 (x, y, 2) =