Describe the surface whose equation is  2x2 - 3y2 - 4z2 - 12x - 6y - 21 = 0.

Q: Identify and sketch the surfaces x2 + y2 - z2 = 4

A: Given, The surface is x2 + y2 - z2 = 4

Q: Describe and sketch the surface x + 2y + 3z = 6

A: Given

Q: determine the type of the quadric surface  (x/3)2−(y/4)2− 2z2 = 0

A: given  (x/3)2−(y/4)2− 2z2 = 0 we need to find the type of quadric equation

Q: Identify the surface defined by the following equation. 2x-y²-z² =0

A:

Q: Sketch the surface..........CYLINDERS.............x2 + 4z2 = 16

A: Here we have to draw the surface of cylinder having equation  x2+4z2=16

Q: Find the area of the surface formed by revolving the portion in the first quadrant of the graph of…

A: Rearrange the given equation to find y in terms of x and thus f(x). Plot the curve and find the…

Q: Reduce the equation to standard form, classify the surface and sketch it     x2 = 2y2 + 3z2

A:

Q: Identify and sketch the surfaces 4x2 + 4y2 + z2 = 4

A:

Q: Describe the surface whose equation is 2.2+ 2y? + 2z2 - 3x- 5y+7z- 2 = 0.

A:

Q: Describe and sketch the surface 4x2 + y2 = 4

A:

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, –-2, 4)…

A: NOTE: Refresh your page if you can't see any equations. . the center is  and the radius is

Q: What are the traces of a surface? How do you find them?

A: Traces of surfaces are curves that represent the intersection of the surface and the plane given by…

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: Sketch the surfaces ASSORTED 4y2 + z2 - 4x2 = 4

A: Given:  And can be written as,  Therefore, The obtained function is in the form of Hyperboloid…

Q: Describe and sketch the surface (x2/16) + (y2/9) + z2 = 1

A:

Q: Find an equation for the surface obtained by rotating the parabola y=2 about the y-axis.

A:

Q: Sketch the section of the surface at y = 0. 9x^2+4z^2=36

A:

Q: Sketch the surface with equation x^2 + y^2 + 2z^2 − 1 = 0.

A: The given equation is x2+y2+2z2-1=0

Q: Find the equation of the surface of revolution that is generated by rotating the straight line y = x…

A: The surface of revolution that is generated by rotating x=f(y) around the y-axis is x2+z2=f(y)2 so…

Q: Find the equation of a sphere whose center is on line 5y+2z=0=2x-3y and passes through point…

A:

Q: Identify the type of surface represented by the given equation.

A: Since we are given x25+y28-z22=1 -(i) and for finding the nature of surfacewe will solve for z.

Q: Plot the surfaces over the indicated domains. Ifyou can, rotate the surface into different viewing…

A: We need to plot the surface over the indicated domains. We have to rotate the surface into different…

Q: Identify the surface whose equation is given.

A: ρ cos Φ =1  -> z = 1 ( as we know in spherical coordinates z = ρ cosΦ)

Q: Classify and sketch the surface x − y2 − 4z2 = 0.

A: The surface is given as x-y2-4z2=0. Rewrite the equation x-y2-4z2=0 as follows. x-y2-4z2=0x=y2+4z2…

Q: Identify the surface defined by the following equation. y 2 x2 Z= 10 16 The surface defined by the…

A: The given surface represents a Hyperbolic parabola.   A hyperbolic paraboloid is represented as…

Q: Sketch the surfaces 1. x2 + y2 = 4  2. x2 + 4z2 = 16

A: The given surfaces are sketched using online 3D calculator.

Q: 9. Write the equation of the quadric surface in standard form then identify the quadric surface…

A: The standard form of quadric surface : Ax2+By2+Cz2+Dxy+Exz+Fyz+Gx+Hy+Iz+J=0…

Q: Describe and sketch the surface x2 + z2 = 4

A: Given- x2+z2=4 To sketch- The graph of the above function and explain it.. Concept Used- The…

Q: Sketch the surface given by the equation x2+z2/3+y=3 indicating the points where the surface…

A: Sketch the surface given by the equation x2+z2/3+y=3   indicating the points where the   surface…

Q: Sketch the surfaces ASSORTED 16x2 + 4y2 = 1

A: we have to sketch the the surface 16x2+4y2=1

Q: What is the equation of the sphere whose center is at (0, -3, 8) and with a radius of 5? Select the

A:

Q: Find the equation of the sphere which passes through the origin and the points (0, 1. -1), (-1,2, 0)…

A: Use the genres equation of sphere passing through origin.

Q: What is the name of the surface defined by the equation x2 y

A: Given Equation is :                                  y=x24+z28y=2x2+z282x2+z2=8y   Since,…

Q: Sketch the surface x = 2y2 +3z2

A:

Q: The 2D curve 4x2 - y2 = 3, generates a surface in 3D by rotationing it out of the xy-plane and…

A: The 2D curve 4x2 - y2 = 3, generates a surface in 3D by rotating it out of the xy-plane and around…

Q: 12. 4x² + 9y² + 9z² = 36

A: Given: 4x2+9y2+9z2=36

Q: Find an equation of the sphere concentric with the sphere x^2 + y^2 + z^2 + 4x + 2y − 6z + 10 = 0…

A: Topic = Geometry

Q: Find the center and radius of the sphere (3x^2)+(3y^2)+(3z^2)-(6y)-(12z)-10=0

A:

Q: Plot the surface of 6a2- 2x4- y?z2 = 0, for -10 <x, y, z < 10

A:

Q: Find the slope of the surface z = 3x/y at the point (5,2,15/2) in the x- and y- directions.

A: Given data is: z=3xy  To find the slope of the surface z at the point 5,2,152 in the x and…

Q: Describe and sketch the surface 16x2 + 16y2 − 9z2 = 0

A: Given surface 16x2+16y2-9z2=0

Q: The slope of the surface z = xy2 in the x-direction at the point (2,3) is ______, and the slope of…

A: Given, surface, z = xy2Differentiating the z with respect to x assuming y as constant,∂z∂x = y2×1 =…

Q: Sketch the surface = 2y + 32².

A:

Q: Sketch the section of the surface at y 0. -6 -4 -2 6. -2 2 -6 -4 -6 -4 -2 -6 -4

A: The objective of the question is sketch the section of the surface at y=0.

Q: Identify the surface generated by the equation 9y^2 + 4x^2 - z^2 = 36 hyperboloid of 1 sheet,…

A:

Q: Sketch the surfaces ASSORTED 16y2 + 9z2 = 4x2

A: Solution:- We have to  Sketch the surfaces ASSORTED 16y2 + 9z2 = 4x2

Q: Identify and sketch the section of the surface at x = 0. 4 Type of the surface: 6. 6- 2 -8 -6 -4 4 6…

A: Given the surface

Q: 4x^2 + y^2 = 4 that are the farthest away from point (1,0)

A:

Q: Sketch the section of the surface at y = 0. z = 6r 4 2 -6 -4 -2 6. -4- -6 6r 4 2 -6 -4 -2- -4 4. 2.…

A:

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…