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.
Determine whether the given equation represents an ellipse, a parabola, or a hyperbola. If the graph is in ellipse, find the center, foci, vertices, and length of the major and minor axes. If it is a parabola, find the vertex, focus, and directrix. If it is a hyperbola, find the center, foci, vertices, and asymptotes. Graph the equation. 4.2 + y2 – 16x + 6y + 16 = 0
All 1. Consider the parabola 2 - 6x +10y - 1 = 0. () Find the vertex, focus, directrix, and axis of symmetry of the parabola. (b) Sketch the graph of the parabola. 2. Consider the ellipse 9x2 + 25y2 + 361 - 150y +36 = 0. (a) Find the center, vertices and foci of the ellipse. (b) Sketch the graph of the parabola. (b) Sketch the graph of the hyperbola. 3. Consider the hyperbola r? - 4y? +43 +...
Question 16 Given that f(x)= - 3x2 - 6x + 2. Determine the vertex. Question 17 x²+2 Given that log3(x2 + 2) - log3(x + 4) = 1. What numerical value is equal to? ( You are not asked to solve the equation.) X + 4 Question 18 f(x) = log x is reflected over the x-axis, translated to the left 2 units, then stretched away from the X-axis by a factor of 3. What does it become?
Solve the equation after making an appropriate substitution, *4-6x² +8=0 Determine the appropriate substitution using the new variable u: U Write the new quadratic equation using the variable u: (Type an equation. Type your answer in standard form.) Solve the new quadratic equation for the variable u. u= (Simplify your answer. Type an integer or a simplified fraction. Use a comma to separate answers as needed.) The solution set to the original equation is a. (Simplify your answer. Type an...
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...
5. Given 2x - 72xy +23y? - 80x - 60y = 125 (5 points) (a) Determine the type of conic section. (b) Find the standard equation in the x'y'-coordinate system. (c) Find the coordinates of the center, vertices, and foci and the equations of the asymptotes. (d) Sketch the graph. Label the center, vertices, foci, and the asymptotes in the xy coordinate system (e) Write the coordinates of the center, the vertices, and foci in the xy.coordinate system.
Consider the differential equation: xạy" + 15xy' + 48y = 0. Find all values of r such that y=r" satisfies the differential equation for x > 0. If there is more than one correct answer, enter your answers as a comma separated list. r=
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...