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Find a degree 
Magazine Problem 11
Find the vertex, focus, and directrix of the parabola with the given equation, and sketch the parabola. $$ x=2 y^{2} $$
Problem 11
(a) find the eccentricity and an equation of the directrix of the conic, (b) identify the conic, and (c) sketch the curve. \(r=\frac{10}{4+6 \cos \theta}\)
Problem 11
(a) find a rectangular equation whose graph contains the curve \(C\) with the given parametric equations, and (b) sketch the curve \(\mathrm{C}\) and indicate its orientation. \(x=2 \sin \theta, \quad y=3 \cos \theta ; \quad 0 \leq \theta \leq 2 \pi\)
Problem 12
Plot the point with the rectangular coordinates. Then find the polar coordinates of the point taking \(r>0\) and \(0 \leq \theta<2 \pi\). \((3,-4)\)
Problem 12
(a) find the eccentricity and an equation of the directrix of the conic, (b) identify the conic, and (c) sketch the curve. \(r=\frac{10}{4-6 \cos \theta}\)
Problem 12
Find the vertex, focus, and directrix of the parabola with the given equation, and sketch the parabola. $$ y^{2}=-8 x $$
Problem 12
Find the points on the curve at which the slope of the tangent line is \(m\). $$ x=t^{3}, \quad y=t^{2}+t ; \quad m=1 $$
Problem 12
(a) find a rectangular equation whose graph contains the curve \(C\) with the given parametric equations, and (b) sketch the curve \(\mathrm{C}\) and indicate its orientation. \(x=\cos \theta+1, \quad y=\sin \theta-2 ; \quad 0 \leq \theta \leq 2 \pi\)
Problem 13
(a) find the eccentricity and an equation of the directrix of the conic, (b) identify the conic, and (c) sketch the curve. \(r=\frac{5}{2+2 \cos \theta}\)
Problem 13
Find the points on the curve at which the tangent line is either horizontal or vertical. Sketch the curve. $$ x=t^{2}-4, \quad y=t^{3}-3 t $$
