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12) Express the equation r sin 0 = -3 in rectangular coordinates. a) x2 + y2...
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)
#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...
Rewrite each equation in polar coordinates. 19. r? + y2 = 25 20. x + y2 = 81 21. x = 12 Rewrite each equation in rectangular coordinates. 31. r= 5 cosa 32. r= 8 sino 33. r=7 Sketch a graph of the polar equation. -TT 47. r=4 50. 0= 3 51. r= 6cose
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
Write the equation in spherical coordinates. (a) x2 + y2 + Z2 = 64 (b) x2 - y2 - 2 = 1 | eʼsin?(p)cos? (0) – eʼsin(@)sin?(0) – e cos?(p) = 1
D Question 33 Find an equivalent equation in rectangular coordinates. r(1-2 cos ) - 1 V2.2.2x x2 + y2 - 2+x x2 + y2-1+2x V.2.72-1+2
V X2 + y2 and θ u(r(z, y), θ(x, y))--sech2 r tanh r sin θ 6. [Sec. I 1.5] Letr tan l (y/z) be the usual polar rectangular coordinates relationships. Furthermore, define and u(r(z, y),θ(z, y)) sech2 r tanh r cos θ Show that tanh r
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 =...
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...
Consider the parametric surface given in cylindrical coordinates by the equation x2 +y2 < 1 and below the plane :-2T. 1 Credit disk 0 3. θ above the unit -1 Using the parametrization g(r,0) = (r cose, r sina, e, o s r UATE the integral to compute the surface area. e 1, 0 2r, set up BUT DO NOT EVAL-
Consider the parametric surface given in cylindrical coordinates by the equation x2 +y2