The descriptions of surfaces in R3 are given below. Find an equation in p3 that fits each description. Type your answers using the built-in equation editor. a) a sphere centered at (-1, -2, 3) with radius equal to 2 b) a plane parallel to the xy-plane and intersects the z-axis at z = 2

Q: 1. Find the center and radius for each equation of a circle. (x+ 5)2 + (y - 1)2 = 49 %3D Center (

A: Solution; Consider the given equation of the circle: x+52 + y-12 = 49 Comparing the given equation…

Q: 7. Complete the square to find the center and radius of this circle. x? + y? - 6x - 4y + 5 = 0…

A: Adding 8 on left hand side and right hand side of the equation and rearranging them will give us the…

Q: ind the standard equation of the sphere  with diameter and end points below (6,-1,-2), (4,11,12)

A:

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -3, 5) Radius:…

A: We are given: Centre: (-1, -3, 5)Radius: 7 We need to find the standard equation for the sphere with…

Q: Determine the limit graphically, if it exists. lim f(x)= x +1+ f(x) it + 1 -5 -4/-3 -2 -1 -1- 4 5 x…

A:

Q: 4. Circle M is defined by x² + y²-5x +2y- ²³/1 3 4 square to find the equation of Circle M in…

A: Need to find out the equation of the circle in the standard form, and also need to identify the…

Q: Identify the center and radius of the circle with equation (x-4)2 + (y +3)2 25. The center is (Blank…

A:

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -6, 5) Radius:…

A:

Q: Find the center and radius of the circle whose equation is x² + 10x + y² – 5y + 4 = 0. The center of…

A:

Q: A quadric surface has the equation x² + 2y² + 2z² + 2yz = 1. Write the equation in tandard form.…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…