12 Given the polar equation = determine the kind of conic and the equation of the...
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...
11. 4 12 Match each equation with the name of the conic, its eccentricity and equation of directrix: Your answer should contain one letter from each column. [18pts) H. 4 T. X=-3 12 (a) r= A. Circle 3 J. U. y = 6 2-3cos 3 B. Ellipse K. W. y= 2 6 C. Hyperbola L. X. x = -4 8-8sin 2 D. Parabola M. 3 Y y=-12 18 (c) E. Cardioid 3 Z. y. 4+3 sin 2 R 1 (b)...
-/1 points LarCale 11 1 My NetesAsk Your write the equation for the ellipse rotated π/6 radian clockwise from the ellipse shown below &-1 points LawrCakc11 10 6 033 My Notes Ask Your Find a polar equation r for the conic with its focus at the pole and the givern eccentricity and directrix. (For the equation for the directrix is given in rectangular form.) Conic Eccentricity Directrix Parabela e- 1 .-/1 points LarCale11 10.6.035 My Noles Ask Your Find a...
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)....
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
3) Find a polar equation for the conic. The conic has a focus at the pole. e = 6; directrix is parallel to the polar axis 2 units below the pole.
CONIC SECTIONS Graphing a hyperbola given its equation in standard form v + Х Graph the hyperbola. please box where to put points (y+4) (x-5) 1 25 16 14 0 3 UN P 12
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
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
Find a polar equation of the conic in terms of r with its focus at the pole. Conic Vertices Hyperbola (2,0), (8,0)