PLEASE SHOW WORK Question 15 O pts Each equation below represents a conic section. Write the name of the corresponding type of conic. Explain how you know if it is a circle, ellipse, hyperbola or parabola. a) y? 9 1 25 b) y2 + 6y + x - 6 = 0 c) x2 + y2 = 100
Question 15 O pts Each equation below represents a conic section. Write the name of the corresponding type of conic. Explain how you know if it is a circle, ellipse, hyperbola or parabola. a) 1 25 9 b) y2 + 6y + x - 6 = 0 c) x² + y2 100 a) ? 9 b) y? – 6y + 2 – 6 – 0 c).x2 + y2 100
3) Consider the equation of the conic below. (4 pts) a. Determine which conic This equation represents. State the conic and explain your decision 3x² + 2y? - 15x + 20y - 4 = 0 Rewrite this equation with a minor change so that the equation now represents the following conic b. circle c. hyperbola d. parabola 1) Use the animation mentioned earlier on page 910 to create two graphs of two ellipses using the instructions below. (3 pts each)....
Find the equation of the parabola with focus (10, -3) and directrix y = 3. Each equation below represents a conic section. Write the name of the corresponding type of conic. Explain how you know if it is a circle, ellipse hyperbola or parabola. a) 1 25 9 b) y2 + 6y + x - 6 = 0 c) x2 + y2 = 100
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...
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
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)
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 +...
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...
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...