What is the DE of the family of parabolas having their vertices at the origin and their foci on the y- axis? A y dx — 2х dу %3D 0 B 2xdx — у dy 3D 0 2y dx — х dy %3D0 y dx + x dy = 0

Q: The focus of the parabola y^2 = 4x is at

A:

Q: Find a function whose graph is the lower half of the hyperboloid -x2 - y2 + z2 = 1.

A:

Q: x* + 2y? - 2x + 8y - 11 = 0 (illpse) x2 = 1 (llyperholu) 36 64

A: Equation of ellipse given is- x2+2y2-2x+8y-11=0 Standard form of this equation can be written as-…

Q: Find the equation in standard form of the parabola with focus (2, -3) and directrix x = 5.

A: The parabola with focus 2, -3 and directrix x=5. To find the equation of the parabola.

Q: 4x2+y2-16y+8y+16=0 Identify the conic section by rewriting it in standard graphing form.

A:

Q: Derive the equation of the parabola with a focus at (2, 4) and a directrix of y = 8. 1 O f(x) -(x –…

A: Given query is to find the equation of parabola.

Q: 13. Which of the following is the equation of the graph shown? 2 Parabola Oy = - 3x? – 6x – 2 Oy = -…

A: The objective is to find the equation of the graph.

Q: Find the value of Y for the hyperbola defined by the equation y² – x² = 7 at the point (3, 4). dx2

A: The equation is y2-x2=7. First find the value of dydx as follows.…

Q: 1. A parabola has equation -12x + y? – 24 = 0. Write the equation in standard form.

A: The equation of the parabola is, - 12x + y² - 24 = 0 So, y² = 12x + 24

Q: (y-p)2²=4a(x-q)

A:

Q: What is the equation of the parabola that opens to the right and with vertex at (4,-2) and a latus…

A: Prabola

Q: Use the simplex method to solve the linear programming problem. when X₁ = Maximize subject to: B.…

A:

Q: Standardize the conic with the equation 7x2+4xy+4y2--2x-6y+1=0

A:

Q: An object is observed travelling in a hyperbolic trajectory with the sun at one focus of the…

A: Given information:  1. Sun is one of the focus of hyperbola . 2. The Sun co-ordinate is 0,0.…

Q: Show that the ellipse 4x + 9y = 45 and the hyperbola x - 4y = 5 are orthogonal %3D

A:

Q: (2x-y (22) + (x+2)- 3 = 1.

A: Given: Equation of the ellipse: Objective: To find the area of the interior of the ellipse.

Q: Find the directrix of the parabola described by the equation 6 (x – 3) + (y + 2)? = 0 O x = } O x =…

A: The  parabola with vertex at (h,k) and focus at (h-a,k) has a standard equation, (y-k)2=-4a(x-h) The…

Q: The orthogonal trajectory of y = ce* is a parabola of the form y = ax+b. Find the values of a & b so…

A: We are asked to find the value of a and b

Q: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

Q: graph of each hy

A: Here we have to graph the (x+1)29-(y-2)21=1 ..............................(1)…

Q: help in 30mins pls

A:

Q: Identify the focus and directrix of the parabola: y = -4(x - 2)² - 3. f: (1, -4), d: y = 2 f: (2,…

A: If the equation of parabola is of the form x-h2=4py-k(i)  if p>0  then focus is h,k+p  and…

Q: Find the equation of the parabola y = ao + a₁ + a2x² that passes through the points (-1 -9), (0,…

A: