A surface is defined by the following equation: 9x2 + 16y2 + 9z2 = 25. Sketch the intersection between this surface and the xy, xz, and yz planes.

Q: Find the distance from the point (7, -14, -21) to the plane:  2x - 3y - 6z = 1

A:

Q: Identify and sketch the surface 9x² + y² − 2z² — 18x - 4y - 12z - 9 = 0. - Explain the position and…

A: The given surface is: 9x2+y2-2z2-18x-4y-12z-9=0. The given equation can be written as:…

Q: Find the equation of the XZ plane.

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Consider the equation 4x² - 3y² + 12z² = -12. Describe the traces of this surface on the xy-plane,…

A: The traces of a surface are the cross-sections created when the surface intersects a plane parallel…

Q: Put the quadric surface equation 4X (-8y + 4Z+39 = 0 into one of the standard forms, specify the…

A: The given quadric surface equation is           4x2+y2-z2-24x-8y+4z+39=0 Write the like terms…

Q: Describe the plane x = 4.

A: Given, plane x=4we have to describe the plane x=4

Q: ind the distance between the point (-1, 2, 1) and the plane 2x + 3y - 4z = 7. OTE: Give your answer…

A: Given query is to find the distance between the point and the plane.

Q: Identify and sketch the surface r+y +- 2r +2 = 0.

A: Answer

Q: Sketch the graph of -x + 9y² – 4z² = 36 and identify the surface. %3D

A: Given a function in terms of x, y and z. Here x and y are independent variables and z is a dependent…

Q: Find the matrix A of the quadratic form associated with the equation. 3x2 2xy + 3y² + 8z² - 46 = 0 A…

A: The equation in the matrix form is Applying congruence operation on the matrix…