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Magazine Problem 7
For the following exercises, determine which conic section is represented based on the given equation. \(x^{2}-10 x+4 y-10=0\)
Problem 7
For the following exercises, identify the conic with a focus at the origin, and then give the directrix and eccentricity. \(r=\frac{3}{4-4 \quad \sin \theta}\)
Problem 7
For the following exercises, determine whether the given equation is a parabola. If so, rewrite the equation in standard form. \(y=4 x^{2}\)
Problem 8
For the following exercises, determine whether the given equation is a parabola. If so, rewrite the equation in standard form. \(3 x^{2}-6 y^{2}=12\)
Problem 8
For the following exercises, determine which conic section is represented based on the given equation. \(2 x^{2}-2 y^{2}+4 x-6 y-2=0\)
Problem 8
For the following exercises, identify the conic with a focus at the origin, and then give the directrix and eccentricity. \(r=\frac{8}{4-3 \quad \cos \theta}\)
Problem 9
For the following exercises, determine which conic section is represented based on the given equation. \(4 x^{2}-y^{2}+8 x-1=0\)
Problem 9
For the following exercises, identify the conic with a focus at the origin, and then give the directrix and eccentricity. \(r=\frac{5}{1+2 \sin \theta}\)
Problem 9
For the following exercises, determine whether the given equation is a parabola. If so, rewrite the equation in standard form. \((y-3)^{2}=8(x-2)\)
Problem 10
For the following exercises, identify the conic with a focus at the origin, and then give the directrix and eccentricity. \(r=\frac{16}{4+3 \quad \cos \theta}\)
