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In Exercises 23-38, find an equation in standard form for the hyperbola that satisfies the given conditions. 23. Foci ( + 3, 0), transverse axis

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In Exercises 23-38, find an equation in standard form for the hyperbola that satisfies the given conditions. 23. Foci ( + 3, 0), transverse axis length 4 24. Foci (0, + 3), transverse axis length 4 31. Transverse axis endpoints (2, 3) and (2, -1), conjugate axis length 6 32. Transverse axis endpoints (5, 3) and (-7, 3 ), conjugate axis length 10 35. Foci (-4, 2) and (2, 2 ), transverse axis endpoints (-3, 2) and (1, 2) 36. Foci (-3, -11 ) and (-3, 0), transverse axis endpoints (-3, -9) and (-3, -2)35. Foci (-4, 2) and (2, 2 ), transverse axis endpoints (-3, 2) and (1, 2) 36. Foci (-3, -11 ) and (-3, 0), transverse axis endpoints (-3, -9) and (-3, -2) In Exercises 39-42, find the center, vertices, and the foci of the hyperbola. (x + 1)2 (y - 2) 2 39. = 1 144 25 (x + 4)2 (y + 6) 2 40. = 1 12 13 (y + 3)2 ( x - 2)2 41. = 1 64 81 (y - 1)2 (x + 5)2 42. = 1 25 11

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