three a) Sketch the graph and complete the table for the polar equation 5-2cose Type of conic section (x, y) coordinates of vertex or vertices Eccentricity (x,y) coordinates of the focus or the foci...
Find the eccentricity; identify the conic; give an equation of the directrix; the center, vertices, foci, and sketch the conic. r=20/(6+4sinϴ)
Graph the following conic section, identify the vertices, foci, directrices, and asymptotes (if they exist). Use a graphing utility to check your work OA. OB r= 10 - 10 sin 0.6 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. Express your answer using Cartesian coordinates. O A. The focus/i is/are (Type an ordered pair. Type an integer or a simplified fraction. Use a comma to separate answers as needed.) OB. There...
(1 point) Consider the conionsin(0) conic section T 5 +sin(0) a Determine the eccentricity b. Determine the type of conic section.? c. Determine the directrix. d. Determine the vertices. e. Determine the center f Determine the foci. g. Determine the minor axis length. h. Select the correct graph from those shown below.? (1 point) Consider the conionsin(0) conic section T 5 +sin(0) a Determine the eccentricity b. Determine the type of conic section.? c. Determine the directrix. d. Determine the...
19. For the following ellipse, find the center, vertices, foci, eccentricity. Sketch the graph. Equation: (x+3) , (y-1) 16
Sketch the graph of the following hyperbola. Specify the coordinates of the vertices and foci, and find the equations of the asymptotes. Use a graphing utility to check your work. y² x² 36 = 1 25 The vertices of the hyperbola arı (Type an ordered pair. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) The foci of the hyperbola are (Type an ordered pair. Type an exact answer, using radicals as needed....
Find the vertex, focus, and directrix of the following parabola. Graph the equation. y? - 2y +x=0 The vertex is (Type an ordered pair.) The focus is (Type an ordered pair.) The equation of the directrix is (Type an equation.) Use the graphing tool to graph the equation. Click to enlarge graph
2. (15) Give the standard form equation of the parabola with vertex = (1,2) and focus = (3, 2) b. the ellipse with center (-1,3), a focus at (-1,7) and a major axis point (1,8) c. the hyperbola with foci at (3,3), (3,-7) and vertices at (3,1), (3,-5). 3. (12) Identify the conic section and complete the square to give the standard equation given 3x2-10y +36x -20y+38 0 is 3 (24) Given the parametric equations x-Y-2, y-t,-2 4· a. Sketch...
Find an equation of the following curve, assuming the center is at the origin. Sketch a graph labeling the vertices, foci, asymptotes, and directrices. Use a graphing utility to check your work A hyperbola with vertices (+ 1,0) and eccentricity 3 The foci of the hyperbola are (Type an ordered pair. Type an exact answer. Use a comma to separate answers as needed.) The equations for the asymptotes of the hyperbola are y=+ (Type an exact answer.) Write the equations...
Ay U 3- Use the vertex and intercepts to sketch the graph of the quadratic function Give the equation for the parabola's axis of symmetry. Use the parabola to identify the function's domain and range, fix)=x2-x-2 Use the graphing tool to graph the equation. Use the vertex and one of the intercepts to graph the equation. Click to enlarge graph 2 1 2 The axis of symmetry is (Type an equation) Identify the function's domain The domain is (Type the...
10 For the given equation and graph of the quadratic function, do each of the following. Complete parts (a) through (e). f(x) = -2(x - 5y2 + 2 a. Give the domain and range. The domain is (Type your answer in interval notation.) The range is (Type your answer in interval notation.) M h -10-8-82 2 -4 -6 -B 10 b. Give the coordinates of the vertex. The vertex is (Type an ordered pair.) c. Give the equation of the...