Find the equations of all spheres in R 3 of radius R = 3 passing through the point (7 ,8, 9) that their centers lie on the z-axis.

Q: (x − 6)²(y+3)² + 36 25 = 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: (x-1)^2/81 + (x+2)^2/36 =1 parametrize the ellipse and include the interval for t

A: See the pic

Q: Write the name of the conics giver by poloar curve r=6/(2+sin(t)) a) Determine the vertices in the…

A: We need to write the name of the conics given by the polar curve r=6/(2+sin(t)). Also, we need to…

Q: Find an equation of the line in parametric form that passes through the vertex of the paraboloid…

A:

Q: Give equations for two distinct planes whose trace in the yz-plane has equation y = 4z

A: Given, two distinct planes have trace in the yz-plane has equation y = 4z

Q: Find the equation of the sphere of radius at centered at (1, 4, 5)

A:

Q: Find the equation of the sphere with center c= (0, -1, 2) and radius r= 5. O x2 + y + 1)2 + (z + 2)2…

A: Biref answer is given below.

Q: 2) Consider two spheres (x - 2)² + (y - 3)² + z² = 1 x² + y² + z² = -8y + 2z + 3 a. What is the…

A:

Q: Show that the ellipse x*/a? + y*/b? = 1 and the hyperbola x/A? – y/B² = 1 are orthogonal…

A:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.