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ELF	> l@@1. (x/a)^2 + (y/c)^2 < 12. (x/a)^2 + (y/c)^2 <= 13. (x-a)^2 + y^2 < r^2 | -5 < x < 54. x^2 + (y-c)^2 < r^2 | -5 < x < 55. (x-a)^2 + (y-c)^2 < r^2 | -5 < x < 56. x^2 + y^2 + 10y -9 < 0 | -20 < x < 207. x^2/4 + y^2 < 1 | -7 < x < 78. x^2/4 + y^2/9 < 1 | -5 < x < 59. (x/a)^2 + (y/c)^2 < 1 | -8 < x < 810. ((x-a)/4)^2 + (y-c)^2 < 1 | -8 < x < 811. y^2/9 -x^2/9 < 1 | -8 < x < 812. xy < 1 | -8 < x < 8, -8 < y < 813. 1 < ((x-a)/4)^2 - (y-c)^2 | -10 < x < 1014. x^n y + y^n x < 1 | -8 < x < 8, -8 < y < 815. y^2 < x(x-1)(x-2) | -2 < x < 8, -10 < y < 1016. x^(2/3) + y^(2/3) < a^(2/3) | -8 < x < 8       @astroid17. x^4 < a^2(x^2-y^2)       @eight curve18. x^4 + y^4 < 119. (x^2 + y^2)^2 < a^2(x^2-y^2)       @lemniscate of Bernoulli2. abs(y) <= abs(sin x)3. abs(x) < abs(cos y)1. x^2 + y^2 = r^22. (x-a)^2 + y^2 = 13. (x-a)^2 + y^2 = r^24. x^2 + (y-c)^2 = r^25. (x-a)^2 + (y-c)^2 = r^26. x^2 + y^2 = 47. x^2 + y^2 = 98. (x + 1)^2 + y^2 = 49. x^2 + (y-2)^2 = 410. (x - 2)^2 + (y + 3)^2 = 1611. (x - 2)^2 + (y - 2)^2 = 2512. (x - 3)^2 + y^2 = 913. x^2 + y^2 - 2x - 6y -6 = 014. x^2 + y^2 + 8x - 6y -15 = 015. x^2 + y^2 + 6x - 8y = 016. x^2 + y^2 + 10y - 9 = 017. 9x^2 + 9y^2 - 6x - 12y - 16 = 018. x^2 + y^2 + 7x -3y -10 = 019. 4x^2 + 4y^2 + 4x -32y + 33 = 020. ax^2 + cy^2 = 121. (x -3)^2 + (y - 2)^2 = 922. x^2 + y^2 - 4x + 3y - 2 = 023. x^2 + y^2 + 2x - 4y = 924. (x - a)^2 + (y + c)^2 = 3625. 4x^2 + 4y^2 = 126. x^2 + y^2 = 31. (x/a)^2 + (y/c)^2 = 12. ((x-a)/4)^2 + (y/c)^2 = 13. ((x-a)/4)^2 + (y-c)^2 = 14. x^2 - 2x + 1 + (y/4)^2 = 15. x^2 - 2x + y^2/4 + y + 2 = 16. x^2/4 + y^2 = 17. x^2/4 + y^2/9 = 1 |  -3<x<3, -4<y<48. (x-2)^2/9 + y^2/25 = 19. x^2/36 + (y+3)^2/9 = 110. ((x-a)/4)^2 + (y/c)^2 = 111. ((x-a)/4)^2 + (y-c)^2 = 112. x^2 - 2x + 1 + (y/4)^2 = 113. x^2 - 2x + y^2/4 + y + 2 = 114. x^2/12 + y^2/4 = 115. 8x^2 + 3y^2 = 2416. x^2 + y^2/36 = 117. x^2/4 + y^2/9 = 2 | -4 < x < 4, -6 < y < 618. 9x^2 + 4y^2 = 3619. 8x^2 + 3y^2 = 2420. 4x^2 = 9 - y^221. 2x^2 + 3y^2 = 622. 5x^2 + 7y^2 = 351. y = ax^22. y = (x-a)^23. y = x^2 + c4. y = ax^2 + c5. y = a(x-c)^26. y = a(x-c)^2 + b7. y = x^2 + ax9. x = y^210. y = sqrt x11. x = ay^212. x = ay^2 + c13. y = x^2 + 214. y = x^2 - 515. y = x^2 + 2x + 316. y = 3x^217. y = - 3x^218. y = -(1/2) x^219. y = -2x^2 - 4x + 120. y = -ax^2 + cx + d21. y = (x + 1)^222. y = (x - 3)^223. y = a(x-c)^2 + d24. y = 2x^2 + 225. y = 3x^2 + 326. y = -2x^2 - 227. y = (1/2) x - 228. y = (x - 1)^2 - 229. y = 3(x - 2)^2 - 430. y = -(1/2)(x + 1)^2 - 231. y = -3(x - 4)^2 -232. y = a(x-c)^2 - d33. y = 3x^2 + 24x + 4934. y = -2x^2 + x - 235. y = ax^2 + cx + d36. x = y^237. x = - y^238. x = ay^239. x = y^2 - 140. x = -y^2 + 441. x = ay^2 + c42. x = -2y^243. x = 4y^244. x = y^2 + 4y + 645. x = y^2 - 2y - 346. x = ay^2 + cy + d1. (x/a)^2 - (y/c)^2 = 12. ((x-a)/4)^2 - (y/c)^2 = 13. ((x-a)/4)^2 - (y-c)^2 = 14. x^2 - 2x + 1 - (y/4)^2 = 15. x^2 - 2x - y^2/4 - y = 16. (y/a)^2 - (x/c)^2 = 17. xy = 18. y^2/9 - x^2/9 = 1 | -10 < x < 10, -8 < y < 89. y^2/16 - y^2/4 = 110. x^2/25 - y^2/16 = 111. x^2/16 - y^2/25 = 112. x^2 - y^2 = 413. 4y^2 - 9x^2 = 3614. 25x^2 - 16y^2 = 3615. xy = 616. xy = -217. xy = -918. xy = a19. 9x^2 - 4y^2 - 36 = 020. x^2 - 2x + 1 - (y/4)^2 = 121. x^2 - 2x - y^2/4 - y = 122. (y/a)^2 - (x/c)^2 = 123. 4x^2 = 64 + y^224. y = 1/x25. x = 1/y26. x^2 = 16 + y^227. 16y^2 - 5x^2 = 8028. ay^2 - cx^2 = 429. x -3/y = 030. x -a/y = 031. y - 4/x = 032. y - a/x = 033. x^2/4 - y^2/9 = 2 | -10 < x < 10, -10 < y < 1034. xy = -835. x - 3/y = 136. x^2 = 16 + y^237. y^2/9 - x^2/9 = 11. (x-a)^2 + (y-c)^2 = r^2 | -5 < x < 5       @Circle whose center is given by the parameters.2. (x/a)^2 + (y/c)^2 = 1 | -8 < x < 8       @Ellipse whose major and minor axes are determined by the parameters.3. ((x-a)/4)^2 + (y-c)^2 = 1 | -8 < x < 8       @An ellipse whose center is given by the parameters.4. y^2/a^2 -x^2/c^2 = 1 | -8 < x < 8       @Hyperbola5. xy = 1 | -8 < x < 8       @Hyperbola6. x^n y + y^n x = 1 | -8 < x < 87. y^2 = x(x-1)(x-2)       @Elliptic curve, important in number theory.8. y^2 = ax^3 + cx + 1       @Elliptic curve, important in number theory.9. x^(2/3) + y^(2/3) = a^(2/3)       @astroid10. x^4 = a^2(x^2-y^2)       @eight curve11. x^n + y^n = 1          | -8 < x < 8       @Lamé curve, special case. Gabriel Lamé (1795-1870): French mathematician and engineer. 12. (x/a)^n + (y/c)^n = 1  | -8 < x < 8       @Lamé curve, general case. Gabriel Lamé (1795-1870): French mathematician and engineer. 13. (x^2+y^2)^2 = a^2(x^2-y^2)       @Lemniscate of Bernoulli14. (x^2 + y^2)^2 = 4axy^2       @double folium15. y^2(a^2-x^2) = (x^2+2ay-a)^2       @bicorn16. (x^2+y^2-2ax)^2 = 4a^2(x^2+y^2) | -8 < x < 8       @cardiod17. y^2 = x^3/(2a-x)       @cissoid of Diocles18. (x^2 + xy + ax -b^2)^2 = (b^2-x^2)(x-y+a)^2       @shell curves19. sin(x y) = cos(x+y)20. sin x + cos y = 01. x^4 + a*x^2 + 12. x^4 + x^2 + b3. x^n - 14. x^3 - x + a5. x^4 + a*x^2 + b6. x^4 - 2x^2 +a^27. x^5 - a*x^3 + b8. x^6 + b9. x^3 - a*x + b10. x^4 + a*x^3 + b*x^2 + c*x + 111. x^7 - 112. x^4 - 2*x^2 + b13. x^6 - a*x^3 + b14. x^8 + a*x^4 + b15. x^3 + a*x + b16. x^n - a17. x^4 - a*x^3 + b*x + c18. x^6 + a*x^4 + b*x^2 + c19. x^4 + 4*x^2 + b1. sin nt, cos mt       @Lissajous patterns2. b (theta -sin theta), b (1-cos theta)       @ Cycloid3. b cos^3 theta, b sin^3 theta       @ Astroid, hypocycloid of four cusps4. 3at/(1+t^3), 3at^2/(1+t^3)       @ Folium of Descartes5. (a+b) cos theta - b cos((a+b)theta/b), (a+b)sin theta - b sin((a+b)theta/b)       @ Epicycloid--locus of a point on the circumference of a circle rolling around a smaller circle.6. a(2 cos t + cos(2t)), a(2 sin t - sin 2t)       @Deltoid--locus of a point on the circumference of a circle rolling inside a circle three times as large.7. a sin t, (a (cos^2 t)(2 + cos t))/(3 + sin^2 t)       @Bicorn (Sylvester, 1864)8. a(1+sin t), (b cos t)(1 +sin t) | -pi/2 <= t <= 3pi/2       @Piriform (De Longchamps, 1866)9. m cos t - b cos(m/b) t, m sin t - b sin (m/b) t | - pi <= t <= pi       @Epicycloid1. r = a sqrt(cos 2 theta)       @ lemniscate of Bernoulli2. r = b csc theta + a       @ Conchoid of Nicomedes3. r = a(1-cos theta)       @ Cardiod4. r = a theta       @ Spiral of Archimedes5. r = a cos(2 theta) sec theta       @ Strophoid6. r = cos(n theta)       @ roses7. r = sin(n theta)       @ roses8. r = b - a cos theta       @ Limacon of Pascal9. r = a ln theta       @ logarithmic spiral10. r = a(1-b cos theta)       @ ellipse of eccentricity b11. r = a/cos^3(theta/3)       @ Tschirnhausen's cubic, also known as the trisectrix of Catalan, or L'Hospital's cubic12. r = a (sin theta) (tan theta)       @ cissoud of Diocles13. r = a (sec theta- 2 cos theta)       @ right strophoid14. r = a sec theta - 4 a cos theta       @Trisectrix of McLaurin15. r = (3 a sin theta cos theta)/ (sin^3 theta + cos^3 theta)       @Folium of Descartes (1638)  16. r = (b^2 cot theta - a^2)/cos^2 theta       @Serpentine (Newton, 1701)17. r = a sec^2 theta sqrt(cos(2 theta))       @Eight curve, also called the lemniscate of Gerono18. r = sqrt(4 b (a - b sin^2 theta))       @Hippopede (Proclus, 75 BCE).  Also known as the "horse fetter".19. r = (cos theta)(4 a sin^2 theta - b)       @Folia (Kepler, 1609)20. r = root(4, b^4 - a^4 + 2a^2 r^2 cos(2 theta))       @Ovals of Cassini 1. x^22. x^33. x^44. sin x5. cos x6. sqrt x7. 1/x8. 1/x^29. tan x10. x cos x11. y = e^x12. y = e^(-x)13. y = e^(ax)14. y = a^x15. y = ln x16. y = 1 - e^(-x)17. y = x sin(1/x)18. y = cosh x19. y = sinh x20. y = tanh x1. xy2. sin x sin y1. re[sin z]2. Re[e^z]3. Re[J0(z)]4. abs(z(z-1))5. abs[sin z]6. abs[J0(z)]1. y' = y2. y' = xy3. y' = y sin x4. y' = y cos x5. y' = x^2 y6. y' = sin y7. y' = cos y8. y' = y - ax9. x' = ax(1-x)10. x' = x-x^311. x' = x(1-x)-b12. x' = x(x-a)13. x' = ax(1-x)-b(1+sin(2 pi t))14. x' = x^3-3x15. x' = x^4-x^216. x' = sin^2 x17. x' = abs(1-x^2)18. x' = x^2-ax19. x' = x^3-xa20. x' = x^3 - x + a21. x' = x^4 - x^2 + a22. x' = ax + sin x23. x' = x^2 -1 - cos t24. y' = x sin y25. y' = x + y26. y' = x - y27. y' = x y28. y' = x^2 - y29. y' = x / y30. y' = y^2 - x31. y' = x^2 y - y32. y' = x sin(y)33. y' = y cos(x)34. y' = x + sin(y)35. y' = x^2 - y^236. y' = e^(x - y)37. y' = ln(x + y)38. y' = y / (1 + x^2)39. y' = x tan(y)40. y' = sin(x + y)41. y' = abs(x - y)42. y' = x^2 / (1 + y^2)43. y' = x cos(x y)44. y' = sqrt(x^2 + y^2)45. y' = x y / (1 + y^2)46. y' = cosh(x) - sinh(y)47. y' = y^2 - x y48. y' = y sin(x y)49. y' = x^2 y - y^350. x' = t + x51. x' = t - x52. x' = t x53. x' = t^2 - x54. x' = t / x55. x' = x^2 - t56. x' = t^2 x - x57. x' = t sin(x)58. x' = x cos(t)59. x' = t + sin(x)60. x' = t^2 - x^21. x' = y, y' = -x       @ circle2. x' = xy, y' = -sin x3. x' = ay, y' = -x4. x' = sin y, y' = -sin x5. x' = y^2, y' = -x6. x' = x + 2y, y' = 3y7. x' = x+2y, y' = 3x+6y8. x' = x + 2y, y' = x9. x' = x + 2y, y' = 3x-3y10. x' = x + 3y, y' = x-y11. x' = 3x + 5y, y' = -2x-2y12. x' = -3x-2y, y' = 5x-2y13. x' = 3x-2y, y' = 5x-2y14. x' = -3x + 5y, y' = -2x + 3y15. x' = 3x + 5y, y' = -2x - 3y16. x' = -3x + 5y, y' = -2x + 2y17. x' = y sin x, y' = -x cos y18. x' = y cos x, y' = -x sin y19. x' = y sin x, y' = x cos y20. x' = y cos x, y' = s sin y1. y'' = -y    @sines and cosines solve this equation2. y'' =  xy + b3. y'' = -y + bx4. y'' = -(1+bx)y5. y'' = -y + bx^26. y'' = sin y7. y'' = x sin y8. y'' = sqrt(1+y^2)9. y'' = x^2 sin y10. y'' = sin(x) sin y1. x^2, 0, 1, 2^(n+1)2. sin x, 0, pi, 2^(n+1)3. 1/x, 1, 10, 9*2^(n+1)4. cos x, -pi/2, pi/2, 2^(n+1)5. x^3, 0,1,2^(n+1)6. sqrt x, 0,1,2^(n+1)7. sqrt x, 0,8,2^(n+1)8. ln x , 1 , 100 ,2^(n+1)9. x sin x , 0 , 2pi , 2^(n+1)1. x^2 , 0 , 1 , 2^(n+1)       @Of course, you get a perfect fit to a quadratic function.2. sin x , 0, pi , 2^(n+1)       @Bet you didn't think it would be that close!3. 1/x , 1, 10, 9*2^(n+1)6. sqrt(x), 0,1,2^(n+1)       @The approximation isn't so good because the derivative and the higher derivatives are large near the origin.1. x = r cos t, y = r sin t, z = t       @This is a \it helix. \rm2. x = t r cos t, y = t r sin t, z = t�5..;	5f. 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