Ch. 7 - Conic Sections
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- Graph the ellipse and locate the foci. (x^2)/36 +(y^2)/25 = 1
Problem 1
- In Exercises 1–18, graph each ellipse and locate the foci. x^2/16 +y^2/4 = 1
Problem 1
- In Exercises 1–4, find the vertices and locate the foci of each hyperbola with the given equation. Then match each equation to one of the graphs that are shown and labeled (a)–(d). x^2/4−y^2/1=1
Problem 1
- In Exercises 1–4, find the focus and directrix of each parabola with the given equation. Then match each equation to one of the graphs that are shown and labeled (a)–(d). y^2 = 4x
Problem 1
- In Exercises 1–4, find the focus and directrix of each parabola with the given equation. Then match each equation to one of the graphs that are shown and labeled (a)–(d). x^2 = 4y
Problem 2
- In Exercises 1–18, graph each ellipse and locate the foci. x^2/9 +y^2/36= 1
Problem 3
- In Exercises 1–4, find the vertices and locate the foci of each hyperbola with the given equation. Then match each equation to one of the graphs that are shown and labeled (a)–(d). y^2/4−x^2/1=1
Problem 3
- In Exercises 1–4, find the focus and directrix of each parabola with the given equation. Then match each equation to one of the graphs that are shown and labeled (a)–(d). x^2 = - 4y
Problem 3
- In Exercises 1–4, find the focus and directrix of each parabola with the given equation. Then match each equation to one of the graphs that are shown and labeled (a)–(d). y^2 = - 4x
Problem 4
- In Exercises 5–12, find the standard form of the equation of each hyperbola satisfying the given conditions. Foci: (0, −3), (0, 3) ; vertices: (0, −1), (0, 1)
Problem 5
- In Exercises 1–18, graph each ellipse and locate the foci. x^2/25 +y^2/64 = 1
Problem 5
- In Exercises 5–16, find the focus and directrix of the parabola with the given equation. Then graph the parabola. y^2 = 16x
Problem 5
- In Exercises 5–12, find the standard form of the equation of each hyperbola satisfying the given conditions. Foci: (−4, 0), (4, 0); vertices:(−3, 0), (3, 0)
Problem 7
- In Exercises 1–18, graph each ellipse and locate the foci. x^2/49 +y^2/81 = 1
Problem 7
- In Exercises 5–16, find the focus and directrix of the parabola with the given equation. Then graph the parabola. y^2 = - 8x
Problem 7
- In Exercises 5–12, find the standard form of the equation of each hyperbola satisfying the given conditions. Endpoints of transverse axis: (0, −6), (0, 6); asymptote: y=2x
Problem 9
- In Exercises 1–18, graph each ellipse and locate the foci. x^2/(9/4) +y^2/(25/4) = 1
Problem 9
- In Exercises 5–16, find the focus and directrix of the parabola with the given equation. Then graph the parabola. x^2 = 12y
Problem 9
- In Exercises 5–12, find the standard form of the equation of each hyperbola satisfying the given conditions. Center: (4, −2); Focus: (7, −2); vertex: (6, −2)
Problem 11
- In Exercises 1–18, graph each ellipse and locate the foci. x² = 1 – 4y²
Problem 11
- In Exercises 5–16, find the focus and directrix of the parabola with the given equation. Then graph the parabola. x^2 = - 16y
Problem 11
- In Exercises 1–18, graph each ellipse and locate the foci. 25x²+4y² = 100
Problem 13
- In Exercises 13–26, use vertices and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes. x^2/9−y^2/25=1
Problem 13
- In Exercises 5–16, find the focus and directrix of the parabola with the given equation. Then graph the parabola. y^2 - 6x = 0
Problem 13
- In Exercises 5–16, find the focus and directrix of the parabola with the given equation. Then graph the parabola. 8x^2 + 4y = 0
Problem 15
- In Exercises 1–18, graph each ellipse and locate the foci.4x²+16y² = 64
Problem 15
- In Exercises 13–26, use vertices and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes. x^2/100−y^2/64=1
Problem 15
- In Exercises 17–30, find the standard form of the equation of each parabola satisfying the given conditions. Focus: (7, 0); Directrix: x = - 7
Problem 17
- In Exercises 1–18, graph each ellipse and locate the foci. 7x² = 35-5y²
Problem 17
- In Exercises 13–26, use vertices and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes. y^2/16−x^2/36=1
Problem 17
