Find the eccentricities of each of the conics given below. (a)        y = 4x2 − 2019x + 83 (b)      x2/42 + y2/62=1 (c).     x2/42 − y2/62=1

Q: Identify and find the equation of the conic in standard form: vertices at Vi(12, 4) and V2(-10,4),…

A: Given: Vertices: V1 = (12,4) ,  V2 = (-10,4) Foci : F1 = (10,4)  F2 = (-8,4)

Q: 2. Sketch the hyperbola y² - 2y - 4x² - 8x - 7 = 0. Find its centre, foci, eccentricity, asymptotes,…

A:

Q: 3. Find the vertex, focus, and equation of the directrix for the conic given by (x + 1)² = -20(y -…

A: We have to find focus, vertex and equation of directrix.

Q: Find the polar equation of an hyperbola with vertices (-30, pi/2) and (30/7, 3pi/2) and with one…

A: Solution Given:Vertices: V1 = (-30, pi/2) and V2 = (30/7, 3pi/2)Focus at the pole (r = 0) Step 1:…

Q: + 2x + y² – 2y = 2

A: NOTE: Refresh your page if you can't see any equations. . add 1 to both sides

Q: What is the center, vertices, co-vertices, foci, and asymptotes of the hyperbola conic in standard…

A: The standard form of equation of hyperbola with the horizontal transverse axis is given by Having…

Q: 2) Graph the following conic. -4x² + 8x + y² - 4y + 4 = 0

A: The given problem is to graph the given following conic. Given conic -4x2+8x+y2-4y+4=0