The equation of a hyperbola is 4x -(y+3) 9 a) Find the center, vertices, transverse axis,...
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 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...
An equation of a hyperbola is given. x^2/16 - y^2/64=1. (a) Find the vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equations.) (b)Determine the length of the transverse axis. (c) Sketch a graph of the hyperbola.
An equation of a hyperbola is given. x^2/16 - y^2/61=1. (a) Find the vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equations.) (b)Determine the length of the transverse axis. (c) Sketch a graph of the hyperbola.
1. For the following equation, find the center, vertices, foci, transverse axis, and asymptotes, and sketch the graph: 2. Consider the set of parametric equations (a) Graph in the following window: TMIN--3.74, TMAX- 3.74, TSTEP = 0.02, XMIN =-10, XMAX = 10, YMIN =-7, YMAX = 7, Sketch the graph. (b) At, find (x, y) and dy/dx. Write the equations of the lines tangent to and normal to the graph at (c) Find the length of the curve from to...
Fill in the blank so that the resulting statement is true. If the center of a hyperbola with a horizontal transverse axis is (8,3) and a2 = 49, then the coordinates of the vertices are If the center of a hyperbola with a horizontal transverse axis is (8,3) and a2 = 49, then the coordinates of the vertices are (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.)
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...
Find the center, vertices, foci, and the equations of the asymptotes of the hyperbola. (If an answer does not exist, enter DNE.) 1 y2 = 1 121 196 center vertices (smaller x-value) (x, y) - (x, y) =( (x,y) - ( (x, ) =( (targer x-value) foc (x, y) = (1 (smaller x-value) ) (larger x-value) asymptotes (negative slope) (positive slope)
3. Find the center, vertices, foci and asymptotes of the hyperbola. (y+3)(x-1) 16 25 4) vertices: foci: asymptotes:
hyperbola centered at the origin of the xy-plane are shown below. Find the hyperbola's standard form equation in Cartesian coordinates. Eccentricity: 5 Foci (0,t 10) What is the hyperbola's standard-form equation in Cartesian coordinates? Type an equation.) Find the foci of the ellipse with the given equation. Then draw its graph 2x2 +5y2 = 10 The foci of the ellipse are (Use a comma to separate answers. Type an ordered pair. Type an exact Choose the correct graph of the...