Do these asap please, no need to provide work just answers.

1.

Consider the following curve. r = sin(80) Set up an integral that can be used to find the area of one loop of the curve. A = de Jo Find the area of one loop of the curve.\fFind the vertex, focus, and directrix of the parabola. x2 = 9y vertex ( x, V ) = focus ( x, y ) = directrix Sketch its graph. y 2 4 2 2 X -6 -4 4 6 X X -4 -3 -2 -1 1 2 1-2 -1 1 2 3 4 X -6 -4 -2 2 4 6 -2- - 2- -21 -4 -4 -4 -6 - 6 OFind the vertex, focus, and directrix of the parabola. (y + 1)2 = 20(x - 3) vertex ( x, y ) = focus (x, y ) = directrix Sketch its graph. U K 15- 5 5/ X 10 -5 5 -5 5 -5 5 10 15 X -15 -10 . -5 5 . -10 X -5 5 -5 -5 O -15 -5Find the vertices and foci of the ellipse. * 2 = 1 16 12 vertices ( x, y ) = (smaller x-value) ( x, y ) = (larger x-value) foci ( x, y ) = (smaller x-value) ( x, y ) = (larger x-value) Sketch its graph. 4 4 2 2 X X X -2 2 -4 2 -4 -2 2 4 - 2 - 2 -2 -4 -4 -4 O