Describe the surface whose equation is a coordinate equal to a constant for each of the coordinates in (a) the cylindrical coordinate system and (b) the spherical coordinate system.

Q: Describe the surfaces r = R in cylindrical coordinates and ρ = R in spherical coordinates.

A: Given cylindrical and spherical coordinates.

Q: . Determine the area of the surface with parametric equations a = 2u?, y = v², z = 2uv, 0 <u < 3, 0…

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, –3, 4) Radius:…

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Q: Find the standard equation of the sphere with the given characteristics. ...... Center: (-1, -3, 7)…

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -7, 4) Radius:…

A: Given radius of circle is 9.  And center is (-1,-7,4).

Q: Match the equation with the surface it defines:

A: given equation is x24+y24=z249

Q: Graph the surface whose spherical equation is p = 1– sino.

A: We use maple software to graph the given surface.

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: A bridge is built in the shape of a semielliptical arch.The bridge has a span of 60 feet and a…

A: A bridge is built in the shape of a semi-elliptical arch. The bridge has a span of 60 feet and a…

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -2, 7) Radius:…

A:

Q: Describe the surface with cylindrical equation r=6. Hint The 8 and 2 components of points on the…

A: We have to find the surface whose cylindrical equation is given by : r=6

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

A:

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -4, 5) Radius:…

A: topic - standard equation of sphere

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: Explain whether the cylindrical surface and the spherical surface may be homeomorphic?

A: To explain: Whether there is a chance that the spherical and cylindrical surfaces are homomorphic.

Q: Identify and sketch the quadric surface. Use a computer algebra system to confirm your sketch. 9x2 +…

A: Quadric surface: A quadric surface is a graph in the three dimensional space with the equation z=fx,…

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -2, 8) Radius:…

A:

Q: Find parametric equations for the intersection of the planes 2x + y − 3z = 0 and x + y = 1

A: Two planes lying in 3-Dimensional plane can intersect each other at any point and that point can lie…

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -3, 9) Radius:…

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Q: Find the lines curvatures, the first and second fundamental forms of the surface: the surface

A: As per the question we are given a surface. And we have to find its first and second fundamental…

Q: For each equation of a surface given in cylindrical coordinates, sketch the surface and describe it…

A: Given: a) r = 7 b) θ =π2 c) z = 2

Q: 2. 4x2 – 25y² – z² = 100 -

A:

Q: Find the equation of the sphere in standard form that satisfies the given conditions. center C(-1,…

A: Equation of sphere  standard form of sphere equation

Q: Find a parametric representation for the surface.

A: To find a parametric equation we have to convert cartesian coordinate to spherical coordinate…

Q: Find parametric equations for the intersection of the surfaces y = x² and 2x² + y² + 6z² = 24 and…

A: Find out the parametric equations for the intersection of the surfaces y=x2 and 2x2+y2+6z2=24…

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -6, 9) Radius:…

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -6, 9) Radius:…

A:

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -3, 7) Radius:…

A: Given the centre and radius and we have to find the standard equation of sphere

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1,-6, 8) Radius:…

A: Given center and radius

Q: Find an equation of the surface of revolution generated by revolving the plane curve about the…

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

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -2, 5) Radius:…

A: topic - equation of a sphere

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, =7,2) Radius:…

A: Explanation of the answer is as follows

Q: Find the first fundamental form of surface of revolution?

A: Suppose M is a surface determine by , Xu , v ⊂ E3. Suppose αt is curve on M , where t ∈ a , b. Here…

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -7, 7) Radius:…

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -5, 2) Radius:…

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -9, 5) Radius:…

A:

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -9, 3) Radius:…

A: To find the standard equation of sphereCenter: -1, -9, 3Radius: 4

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -8, 8) Radius:…

A: Let's find.

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

A: Given that: Centre of the sphere, (h,k,g)= (-1, -3, 5) and radius, R=6

Q: The equation of a surface is shown below. Which among the choices best describes the surface…

A: For the given statement

Q: Describe and sketch the surface y2 + z2 = 9

A: the given equation represents the cylinder where it forms the circle as the base on yz plane and is…

Q: Describe and sketch the surface y2 + z = 6

A: Graph: Given surface y2+z=6 Since one co-ordinate has power 2 and other co-ordinate has power 1. So…

Q: Describe the surface. ху %3D 2

A: Here, function is given which graph is basically a rectangular hyperbola. These given function is…

Q: What are the coordinates of the highest point where the circular cylinder intersects the Elliptical…

A: We will use lagranges multiplier theorem to find heighest point

Q: Describe and sketch the surface y2 + z2 = 16

A: Given equation is y2+z2=16

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -7, 9) Radius.…

A: We are given center of sphere as (-1, -7, 9) and radius be 6. We have to find standard equation of…

Q: Find the standard equation of the sphere with the given characteristics. Center: (−1, −5, 8);…

A: The Center of the sphere is (−1, −5, 8) and Radius: 5

Cylindrical Coordinate System

The distance from a selected reference axis, the direction from the axis relative to a selected reference direction, and also the distance from a selected reference plane perpendicular to the axis area unit, all accustom outline purpose positions in a cylindrical reference frame. Counting that the aspect of the reference plane faces the purpose, the latter distance is expressed as a positive or negative variety.