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Problem 44

Determine the equation in standard form of the ellipse centered at the origin that satisfies the given conditions. Minor axis of length \(8 ;\) foci at (0,-5),(0,5)

Problem 44

Determine the equation in standard form of the hyperbola that satisfies the given conditions. Foci at (4,-2),(-2,-2)\(;\) slope of one asymptote is \(\frac{\sqrt{5}}{2}\)

Problem 45

Determine the equation in standard form of the hyperbola that satisfies the given conditions. Vertices at (5,-2),(1,-2)\(;\) slope of one asymptote is \(\frac{5}{2}\)

Problem 45

Determine the equation in standard form of the ellipse centered at the origin that satisfies the given conditions. Minor axis of length \(7 ;\) major axis of length \(9 ;\) major axis vertical

Problem 45

Determine the equation in standard form of the parabola that satisfies the given conditions. Focus at (-2,0)\(;\) vertex at (0,0)

Problem 46

Determine the equation in standard form of the parabola that satisfies the given conditions. Focus at (4,0)\(;\) vertex at (0,0)

Problem 46

Determine the equation in standard form of the ellipse centered at the origin that satisfies the given conditions. Minor axis of length \(6 ;\) major axis of length \(14 ;\) major axis horizontal

Problem 46

Determine the equation in standard form of the hyperbola that satisfies the given conditions. Vertices at (4,6),(-4,6)\(;\) slope of one asymptote is -2

Problem 47

Determine the equation in standard form of the hyperbola that satisfies the given conditions. Transverse axis of length \(10 ;\) center at (1,-4)\(;\) one focus at (9,-4)

Problem 47

Determine the equation in standard form of the parabola that satisfies the given conditions. Opens upward; distance of focus from \(x\) -axis is \(4 ;\) vertex at (0,0)

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