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SOLVED: Slopes, Tangents, and Normals In Exercises 33-42, verify that the given point is on the curve and find the lines that are (a) tangent and (b) normal to the curve at the given point: 33. x^2 xy - y = 1, (2,3) 34. x^2 y = 25, (3,-4) 35. xy = 9, (-1,3) 36. √2x - 4y - 1 = 0, (-2, 1) 37. 6x^2 3xy - 2y^2 √3y - 6 = 0, (-1,0) 38. √(x y) 2y^2 = 5, (√5,2) 39. 2xy 7 sin y = 27, (1,7/2) 40. x sin 2y = y cos 2x, (7/4,7/2) 41. y = 2sin (7x) √(1,0) 42. x^2 cos^2 y sin y = 0, (
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