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Find an equation of the following curve, assuming the center is at the origin. Sketch a...
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....
The equation of a hyperbola is 4x -(y+3) 9 a) Find the center, vertices, transverse axis, and asymptotes of the hyperbola b) Use the vertices and the asymptotes to graph the hyperbola a) The center of the hyperbola isType an ordered pair.) The vertices are Type an ordered pair. Use a comma to separate answers as needed.) The equation of the transverse axis is (Type an equation.) Determine the equations of the asymptotes. Choose the correct answer below b) Choose...
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...
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...
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.
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 (x,y) coordinates of the x intercept (x,y) coordinates of the y intercept Domain in interval notation Range in interval notation (x,y) equation of the directrix or directrices (x,y) coordinates of the center Standard equation in (x,y) variables three a) Sketch the graph and complete the table...
19. For the following ellipse, find the center, vertices, foci, eccentricity. Sketch the graph. Equation: (x+3) , (y-1) 16
Ny Notss Ask Your Tdentity the conic. ellipse parabola hyperbola drele Analyze thve equation center, radius, vertices, ou, and eccentricity, if posib ). Order your dris e-fror" sn allest ler estz, be" rom smallest ข largest y an answer dues, not exist, enter DNE radius varticesx y) - toci (x, y eccentricity Identify the directix and asymptotes, if possible. (Enter your answers as a c d list of cquations. If an answer doss not exdst, enter DNE.) directrix Identify the...
Find an equation for the hyperbola that satisfies the given conditions. Foci: (0, +6), vertices: (0, +1) Need Help? Read It Watch It Talk to a Tutor [-70.83 Points] DETAILS SALGTRIG4 12.3.041. Find an equation for the hyperbola that satisfies the given conditions. Vertices: (+1,0), asymptotes: y = 5x Need Help? Read It Watch It Talk to a Tutor [-70.83 Points] DETAILS SALGTRIG4 12.3.043.MI. Find an equation for the hyperbola that satisfies the given conditions. Vertices: (0, +4), hyperbola passes...