Consider the following. 12 7 + 7 cos(0) (a) Find the eccentricity e = Identify the...
Consider the equation below. 9 7 - 8 sin(e) (a) Find the eccentricity. e = x (b) Identify the conic. O ellipse O parabola hyperbola O none of the above (c) Give an equation of the directrix (in Cartesian coordinates). (d) Sketch the conic. 10 -15 10
PLEASE ANSWER ALL PROBLEMS CORRECTLY. THANK YOU! PROBLEM 1 PROBLEM 2 PROBLEM 3 PROBLEM 4 Write a polar equation of a conic with the focus at the origin and the given data. parabola, directrix x = 7 Write a polar equation of a conic with the focus at the origin and the given data. hyperbola, eccentricity 5, directrix y = -4 Consider the equation below. 1+ sin(0) (a) Find the eccentricity. e = (b) Identify the conic ellipse parabola hyperbola...
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 +...
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...
Stir or the curve r θ; from θ 0 to θ 2π. 8. Find the eccentricity and classify the conic, and sketch the graph labeling the vertices. 12 6-2sin(8) Find the eccentricity and classify the conic, and sketch the graph labeling the vertices. Find the errentricit 5. Stir or the curve r θ; from θ 0 to θ 2π. 8. Find the eccentricity and classify the conic, and sketch the graph labeling the vertices. 12 6-2sin(8) Find the eccentricity and...
Find the centroid of the region that is bounded below by the x-axis and above by the ellipse 1. Question 1 What are the coordinates of the centroid? (Simplify your answers. Round to four decimal places as needed.) Match the equation with the graph. Include the directrix that corresponds to the focus at the origin. Label the vertices with appropriate polar coordinates. If the equation is an ellipse, label the center as well. 910 35 + 7 sino Question 2...
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...
Would really appreciate your help with this question. I thumbs up always 7) Conic sections stuff! a Sketch the following conic section AND find an equation of the conic section that satisfies the given information Ellipse, center(1,3), vertex(1,0), focus(1,5) b. Find the eccentricity, identify the type of conic, find the orientation (vertical or horizontal), and give the equation of the directrix. 3 2 + 5 sin(0)
19. For the following ellipse, find the center, vertices, foci, eccentricity. Sketch the graph. Equation: (x+3) , (y-1) 16
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...