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Conic sections: ellipses and hyperbolas — Homework
Identify a^2 as the larger denominator for an ellipse, and use the matching sum-or-difference relationship for c^2.
- 1.For the ellipse x^2/49 + y^2/4 = 1, identify a, b, and whether the major axis is horizontal or vertical.
- 2.Using the previous ellipse, find c and the coordinates of the foci.
- 3.For the hyperbola x^2/9 - y^2/16 = 1, find a, b, and c.
- 4.Using the previous hyperbola, state its foci, vertices, and asymptotes.
- 5.Find the eccentricity of the ellipse x^2/49+y^2/4=1 and the hyperbola x^2/9-y^2/16=1, and explain what the difference in their ranges tells you.
🌲 Homeschool of the FutureTwelfth Grade · Math · week 35 homework