34. What is the name of this quadric surface? Elliptic paraboloid O Elipsoid O Hyperbolic paraboloid of one sheet O Elliptic cone

Q: Obtain all the umbilical point of the Hyperboloid of two sheets {x^2+y^2-z^2=1}.

A: consider the equation {x2+y2-z2=1}

Q: Find the surface area of the torus obtained by rotating the circlex 2 + (y - b )2 = r 2 about the…

A: Given the equation of the circle  x2+(y-b)2=r2. We need to find the surface area of the torus…

Q: A sphere in the first octant is tangent to the three coordinate planes. What is the radius of the…

A: Given:- A sphere in the first octant is tangent to the three coordinate planes To find:- Radius of…

Q: Describe the surface of 4z2 – 4x² – y = 4 - |

A: The general equation of a  hyperboloid on two sheets is given by x2a2-y2b2-z2c2=1 notice that there…

Q: Identify and sketch the section of the surface at x = 0. 25x + 4y? – 16z = 0 %3D Type of the…

A: Question is solved.

Q: Classify the surface: 2 = 3y + z Ellipsoid O cone Elliptic paraboloid O Plane O sphere السابق

A:

Q: (e) 25z = x² + 25y²; %3D a = i ,b = i ,C = (f) z? – x² – y² = 1; h = >

A: Topic:- 3D-Geometry e) Elliptic paraboloid f) Hyperboloid of two sheets

Q: Identify the quadric surface. 9x2 + y2 – 9z2 - 54x – 4y – 54z + 4 = 0 O hyperboloid of two sheets O…

A: Identification of quadratic surface

Q: 3. Prove that a flat surface of revolution is part of a plane, cone, or cylinder.

A: prove that a flat surface of revolution is part of plane or cone or cylinder. solution a flat…

Q: Find the surface area of the portion of the sphere x^2 + y^2 + z ^2 = 1 that lies abovethe cone z…

A:

Q: Classify the quadric surface. x2 - y2 + z = 0 O hyperboloid of one sheet O hyperboloid of two sheets…

A: Classify the quadratic surface.

Q: Evaluate ff. xyz ds, over that part of a sphere of two units radius and centre at the origin Which…

A:

Q: Compute the surface area of the portion of the hyperboloid x² + y? -? = 64 between z = 7 and z = 8.

A:

Q: You are given a y=sqrt(36-x^2) curve that rotates about the x-axis. What is the area of the…

A: To find the surface area of rotation of the below curve about the x-axis. y=36−x2

Q: A cylindrical surface in an xyz-coordinate system is an equation that contains only two of the…

A: In this question we have to state whether the given statement is true or false.

Q: Identify the type of surface represented by the given equation. x= - 72?, no limit on y O Cylinder O…

A: Consider the given equation, x=-7z2 This equation is of the form of parabola on the xz-axis and y…

Q: The surface z - - = 1 is a hyperboloid of one sheet. Select one: True False

A: The general form of the equation of hyperboloid of one sheet is: x2a2+y2b2-z2c2=1

Q: 18. Find the surface area of the sphere with radlus 5 by dou- bling the surface area of (x, y)…

A: Given: f(x,y)=25-x2-y2 is the surface bounded by the circle x2+y2=25 where radius, r=5

Q: 2. 4x2 – 25y² – z² = 100 -

A:

Q: Consider the portion of the plane x + 2y + 3z = 12 that sits above the circle (x − 2)^2 + (y − 2)^2…

A: The solution are next step

Q: 2. A light bullb is designed as a sphere of radius a inch with the bottom sliced off to fi. onto a…

A: We need to find surface area of spherical part.

Q: The quadric surface 2z-x²-4y² = 0 is O Hyperboloid of two sheets. O Elliptic paraboloid. O…

A: We have to solve given problem:

Q: 13. classify the surface: * 1 – y = 5x² + 6z² Elliptic paraboloid Cone O Sphere Plane O Ellipsoid

A: The given equation of the surface is: 1-y2=5x2+6z2

Q: Find the area of the cap cut from the top of the sphere x2 + y2 + z2 = 1 by the plane z = sqrt(2)/2.

A:

Q: Identify the surface whose equation isľ = 3 sec (0). O Circle O Hyperbolic Paraboloid O Cone Sphere…

A:

Q: Find the center and the radius of the sphere that has the given x2 + y2 + z2 + 10x – 7y + 2z + 26 =…

A: Given a equation of the sphere , x2+y2+z2+10x-7y+2z+26=0 To fin the center and the radius of the…

Q: Verify Stoke's theorem for A=(2x-y)i-yz²j-y*zk where S is the upper half 5A. surface of the sphere *…

A: Consider the given vector and sphere equation. A→=2x−yi−yz2j−y2zk and x2+y2+z2=1 Since S is the…

Q: Identify and sketch the section of the surface at x = 0. x? ? 36 Type of the surface: elliptic cone…

A: Here we have to plot the graph.

Q: (b) The circle of radius 2 centered at (0, 0, 0) and lying in the i. xy-plane ii. yz-plane iii.…

A: According to our company's guidelines I can only answer first question (b), since (c) is not…

Q: Classify the quadric surface. 16x2 - y2 + 16z² = 4 O hyperboloid of one sheet O hyperbolic…

A: The objective is to classify the quadric surface.

Q: The arc of the parabola y = x? from (1, 1) to (2, 4) is rotated about the y-axis. Draw the surface…

A: Given: Equation of parabola : y= x2  Arc of parabola passes through (1,1) and (2,4).

Q: Classify the surface: 22 = 3y? + 22 %3D O Ellipsoid O cone O sphere O Elliptic paraboloid O Plane

A:

Q: 7. Find the surface area of the cone frustum generated by revolving the line segment x 1 y ==+ 1s…

A:

Q: If the infinite curve y = eSX, x > 0, is rotated about the x-axis, find the area of the resulting…

A:

Q: 6) 3 =x2 porobola, find the yolume of the object by notating +his porabola ond the regjen around the…

A:

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y =    6 − x,…

A: We will solve the problem.

Q: Classify the quadric surface. x2 z = y2 16 ellipsoid O elliptic cone elliptic paraboloid O…

A:

Q: Find the exact area of the surface obtained by rotating the curve about the y-axis: y = 3 + 5x2 ; 3…

A:

Q: 17. classify the surface: 1 - y? = 5x² + 6z² %3D O Plane O Sphere O Elliptic paraboloid O Ellipsoid…

A:

Q: (7] identify the following surfaces from the list NO justification needed for this problem Simply…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the surface area of a sphere of radius r

A:

Q: Find the exact surface area for the portion of the surface z=sqrt(x^2 + y^2) that is below z=4 and…

A: Find the exact surface area of the portion of the surfacez=x2+y2 that is below z=4 and in the region…

Q: You are given a y=sqrt(36-x^2), -3≤x≤3, curve that rotates about the x-axis. What is the area of the…

A: Given curve is y=36−x2, −3≤x≤3 and curve rotates about the x-axis. We have to find the area of the…

Q: Classify the surface: 1- x = 3y2 + 422 O Ellipsoid O cone O Elliptic paraboloid O Plane sphere

A:

Q: What is a flat surface that extends infinitely in all directions?

A: Plane.

Q: What is the surface of the box formed by the net above

A:

Q: Identify the following quadric surface. 11 + O hyperboloid of one sheet O ellipsoid O hyperboloid of…

A:

Q: Identify the surface defined by x- y - 4x + z2 = 4 O hyperboloid of two sheets O elliptic cone O…

A: Thanks for the question :)And your upvote will be really appreciable ;) option A ) Hyperboloid of…

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.