Find the vertices of the hyperbola. 4x2 - 16y2 = 64 (-2, 0), (2,0) 0 (0,4),...
7. Find an equation for the conic that satisfies the given conditions. Hyperbola foci (0,£6), vertices (0,+3) A. 6x2 = y (x-6)2 y2 B. 36 27 = 1 c. 2; x2 = y x2 y2 D. 36 + = 1 27 x2 y2 E. 9 = 1 27
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.
6. Find the center of mass of the rectangular lamina with vertices (0,0), (6,0), (0, 24) and (6, 24) for the density p = kxy. 7. Find the area of the surface given by z =f(x,y) over the region R. f(x,y) = 3 – 2x + 5y R: square with vertices (0,0), (4,0),(4,4),(0,4)
QUESTION 2 Find an equation for the hyperbola described. Vertices (1, -3) and (- , -3) and (- 2.-3); asymptotes y+3 = + (x+2) 4(x + 2)2 (v + 3)2 = 1 25 9 = 1 (x + 2)2 4(y + 3)2 9 25 4(x - 2)2 (y - 3)2 25 9 (v + 3)2 4(x + 2)2 9 (5532 = 1 = 1 25 QUESTION 4 Find the center, foci, and vertices of the ellipse. 25x2 + 49y2 =...
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)
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...
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 +...
#47 51. 52. 39. Vertices: (+1, 0); asymptotes: y = 5x 40. Vertices: (0, 3); asymptotes: y = 3x Finding the Standard Equation of a Hyperbola In Exercises 39-48, find the standard form of the equation of the hyperbola with the given characteristics. 41. Foci: (0, +8); asymptotes: y = +4x 42. Foci: (+10,0); asymptotes: y = +x 43. Vertices: (1, 2), (3, 2); asymptotes: y = x, y = 4 - x 44. Vertices: (3,0), (3, 6); asymptotes: y...
3. Find the center, vertices, foci and asymptotes of the hyperbola. (y+3)(x-1) 16 25 4) vertices: foci: asymptotes:
Find the equation of a hyperbola satisfying the given conditions. Vertices at (0,8) and (0, - 8); foci at (0, 10) and (0,- 10) The equation of the hyperbola is .. Type an equation. Type your answer in standard form.) Enter your answer in the answer box. MacЕ 000 esc 20 F3 000 FA F1 F2