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Magazine 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, 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, identify the conic with a focus at the origin, and then give the directrix and eccentricity. $$ r=\frac{8}{4-3 \cos \theta} $$
Problem 8
Identify the conic with a focus at the origin, and then give the directrix and eccentricity. $$ r=\frac{8}{4-3 \cos \theta} $$
Problem 9
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 equations represent ellipses. If yes, write in standard form. $$ 4 x^{2}+9 y^{2}=1 $$
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 10
For the following exercises, determine whether the given equations represent ellipses. If yes, write in standard form. $$ 4 x^{2}-8 x+9 y^{2}-72 y+112=0 $$
Problem 10
Identify the conic with a focus at the origin, and then give the directrix and eccentricity. $$ r=\frac{16}{4+3 \cos \theta} $$
