What is the equation of the surface revolved about the x-axis for z? – xz = In x + 3x? A. y? + z? = In x + 3x + xz x2 Inx+3x + 1 B. y? + z² = x² C. y² + z² = | |In x + 3x + 4

Q: Describe the yz-intercept of the sphere with the equation x2 + y2+z2 - 2x+ 10z +5 = 0

A: The given equation of sphere is: x2+y2+z2-2x+10z+5=0

Q: What is the vertex of the parabola y=(x+3)²-4? A (3,4) B (-3,4)

A: The vertex of standard parabola equation  y = x2  is at (0,0)

Q: . Use the method of completing the square to write the following equation in standard form and…

A:

Q: Write the standard form of the equation of the circle with radius r and center (h, k). r = 9; (h, k)…

A: Standard equation of circle (X-h)2+(y-k)2= r2   Center (h, k)  Radius = r

Q: . Consider the linear system dY 2 Y dt -2 (a) Find the general solution. (b) Find the particular…

A: The given differential equation is  dYdt=02-2-1Y The general solution of this equation is…

Q: Given the equation (z - 13)+y? = 64, identify the center and radius. Do not enter any spaces when…

A: In this we have to tell the center and radius of circle.

Q: Find the equation of the sphere having the circle x +y+ z2 = 9, x- 2y+ 2z = 5 as a great circle.

A: The solution is below.

Q: Determine the surface with the equation 2x2-3y2-4z2-12x-6y-21=0

A: We have to determine the surface with the equation 2x2-3y2-4z2-12x-6y-21=0.

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

A: To write the quadratic surface equation \( x^2 + 2y^2 + 2z^2 + 2yz = 1 \) in standard form and…

Q: The surface described by the equation 3x-+3y-+3z--8x+4z+38=0 is

A:

Q: Find ∫C (2z + 9) / (z2 + 2z - 3) where C is the circle |z - 2| = 3.

A:

Q: What is the standard equation of a circle with center (-2,3), and tangent to the x-axis? 1. (x + 2)2…

A:

Q: Identify the surface for p sin = 9

A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned,…

Q: Reduce each of the quadratic equations to its standard form and determine the name that classifies…

A: We have to reduce the quadratic surface and determine the type of surface.

Q: na the General Form of thE circi (x+5)^2+(y-1)^2=9 *

A: Given equation is x+52+y-12=9Write the general form of the circle

Q: Please show how the following Figure can be linearly separated by mapping from the features (X1, X2)…

A: In many machine learning scenarios, data points that are not linearly separable in the original…

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: Write the quadratic surface x2-y2+4z2+2x+4y+1=0 in standard form.

A:

Q: What is the equation of the circle in standard form whose endpoints of a diameter are at A(4, – 5)…

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

Q: The equation x² + 14x + y² – 8y +z2 +10z = – 65 represents a sphere whose center is (-7,4, – 5) |

A:

Q: Find the length of the common chord of the circles x\power{2}+y\power{2}+2x+6y=0 and…

A: The equation of the common chord PQ of the circles             S1:x2+y2+2x+6y=0and…

Q: What is the center of th O (-1, 2) O (2, –1) O (-2, 1) O (1, -2)

A:

Q: Evaluate (x+ y)ds, where C is the top half of the circle x² + y² = 4, oriented counterclockwise.

A:

Q: Find the cоттоn points of the circles (x + 1)² + (y – 1)² = 5 and x² + y? = 1.

A: Common points of the circles simply means the point of intersection of the given circles.

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.