The equation r csc 0 = -3 is the polar equation of a circle. Find the...
Convert the polar equation to rectangular form and sketch its graph. r = 7 cot(0) csc(O) Step 1 The polar coordinates (r, e) of a point are related to the rectangular coordinates (x, y) of the point as follows. x=rcos(0) cos y = r sin(0) sin e Step 2 The given polar equation can be rewritten as follows. r 7 cote csco 1 r = 7 coto sino 2 sin(0) = 7 coto Converting to rectangular coordinates using x =...
For the following polar equation write an equivalent rectangular equation. r=5 csc e The equivalent equation in rectangular form is (Type an equation)
solve for (c) ~ (g) especially tricky integration is need to be solved solve for (d) ~(g) (c) is solved 2. Using polar coordinates: (a) Show that the equation of the circle sketched is r 2a cos 0. Hint: Use the right triangle OPGQ (b) By integration, find the area of the distk P(r, e) 2a r < 2a cos θ Find the centroid of the area of the first quadrant (c) half disk. (d) Find the moments of inertia...
Recall the equation for a circle with center (h, k) and radius r. At what point in the first quadrant does the line with equation y = 2.52 + 3 intersect the circle with radius 4 and center (0, 3)? Enter your answer correct to 3 decimal places.
Find the equation of the circle with the given center and radius. a. Center at (0,0) and r = V5. b. Center at (-6, -7) and r = 6
Find the polar equation corresponding to the rectangular equation x² + y2 -15x = 0. r = 15sine r=0, r = 15cos e or=0, r = 15 sino
) Find the center and radius of the circle with equation x2 + 6x + y2 - 4y = 12. a) o center is (-3, 2) and radius is 5 b) o center is (3, -2) and radius is 5 c) center is (3, -2) and radius is 2/3 center is (-3, 2) and radius is 2/3 4) The equation of the parabola with focus (-3, 2) and vertex at (-3, 0) is (x +3) = - 8(y 2) a)...
Find the center and radius of the circle with equation 2? + y2 + 163 +39 = 0. a) Center (8,0), Radius 5 b) Center (-8,0), Radius 5 c) Center (0,–8), Radius 25 d) Center (-8,0), Radius 25
Find the equation of the circle of radius 3 centered at: a) (0, 0) b) (5, 6) c) (−5, −6) d) (0, 3) e) (0, −3) f) (3, 0) Please show how you did them and which equations you used
#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...