q13.2 You have been given the following equation of a sphere (x^2) + (y^2) + (z^2) - 6x + 4z = 3 Please determine the center most point and the radius .

Q: b)(y-4)^2=-12(y-2)

A: b) Given equation of parabola is: (y-4)2=-12(x-2) 4a = 12 a = 3 Therefore we get, The vertex of the…

Q: Consider the paraboloid given by the equation z = x^2 + y^2. Find the coordinates of the vertex and…

A: A paraboloid is a quadric surface that has exactly one axis of symmetry and no center. The given…

Q: How do you write an equation of a sphere with a given center and radius?

A:

Q: the area of the ellipse 9x^2 + 8y^2 = 72 answer: 26.7

A: To Find: Area of the ellipse  9x2+8y2=72

Q: Find the center and radius of a sphere given by equation 3x +3y² +3z? =10+6y+12z.

A: We have to find

Q: 5. Find the standard form equation of a sphere that has a diameter with endpoints (3, -2, 4) and (7,…

A: Given : The end points of a diameter of a sphere are  (3, -2, 4) and (7, 1, 4). To find : We have to…

Q: A parabola whose equation is x ^ n-8Y = 12ny Find its focus and the equation of its guide

A: we know general formula of parabola X2=4ay So we put n=2 and find the equation of a parabola and…

Q: Locate the vertex, focus, directrix and axis of symmetry of the parabola y^2-5x+12y=-16.

A:

Q: What is the equation for a sphere centered at the point (4,-3,-7) with a radius of 5.

A: The general equation for a sphere in three dimensions is given by (x - h)^2 + (y - k)^2 + (z - l)^2…

Q: Identify the equation of a parabola with vertex(0,0)(0,0) and focus (0,2)

A:

Q: Write an equation of the ellipse in standard form ((x-h)/a)^2 + ((y-k)/b)^2 =1

A: Standard form of ellipse isx-h2a2+y-k2b2=1

Q: write in standard form of equation vertex hyperbola with (− 1, 2) center and  focus (− 3 (,−2)3, +…

A: