D Question 33 Find an equivalent equation in rectangular coordinates. r(1-2 cos ) - 1 V2.2.2x...
Find an equivalent equation in rectangular coordinates. r=10sino
The letters rand represent polar coordinates. Write the following equation using rectangular coordinates (x,y). 2 = 14 cos e NICO The equation using rectangular coordinates (x,y) is (x² + y2) 14x =0. r2 = 14cos R(+² ) = K (14 cos ) R² = 14R Coso (R2) 3/4 = 14 Rcoso (x² + y2 %=148 -14 -14 (x² + y2 3%2_14=0 mistake? Did I make a Thank you
12) Express the equation r sin 0 = -3 in rectangular coordinates. a) x2 + y2 = x b) = y x = - 3 d) y = - 3
. Write each polar equation in rectangular coordinates and graph. a. r= 2 cos e b. r = - uri
2) Find a rectangular equation for the curve with the given parametric equations. x = 2 sin(t).y = 2 cos(t);0 st <270 (b) x2 + y2 = 2 c) x2 + y2 = 4 (d) y = x2 - 4 (a) y2 - x2 = 2 (e) y = x2 - 2
Write the equation with rectangular coordinates. r2 = 5 cos20 a. (x2 + y2)2 = 5(x2 + y2) ob. (x2 + y2)2 = 6(x2 –y?) Oc. (x² + y2)2 = 6(x2+y?) O d. (x+y?)? = 6(x2-y?) O e. (x2+x2)? = 5(x2-y2)
PLE 2 The point (0, 5 3 , −5) is given in rectangular coordinates. Find spherical coordinates for this point. SOLUTION From the distance formula we have ρ = x2 + y2 + z2 = 0 + 75 + 25 = 10 Correct: Your answer is correct. and so these equations give the following. cos(φ) = z ρ = -1/2 Correct: Your answer is correct. φ = $$ Incorrect: Your answer is incorrect. cos(θ) = x ρ sin(φ) = θ...
#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...
Question 2 Find an equation in spherical coordinates for the equation given in rectangular coordinates. y = 2 Op = 2cosø cose p=2seco.sece 0 p=2 sind sine Op=2seco csel Op=2csc@csc
- Find an equivalent equation in polar coordinates: x = y2