Describe the surfaces obtained by setting one of the coordinates equal to a constant in cylindrical coordinates (a-c) and spherical coordinates (d-f). That is, describe (separately) the meaning of:

Q: Describe and graph (using a computer) the surfaces a) yz = 4 b) x² - y² = 1 c) 4x² + y² + 4z² − 4y −…

A: a) yz = 4  This represent the hyperbola. And  y = -4 , z = -1  y = -2, z = -2  y = -1, z = -4 y = 2…

Q: Find an equation of the surface consisting of all points P(x, y, z) that are twice as far from the…

A: Explained below

Q: Find the area of the surface. The surface with parametric equations  x = u2, y = uv, z = 1/2v2, 0 ≤…

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Q: Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its trace on y…

A: The given equation is: -225x2+100y2+36z2=0⇒-x2602+y2902+z21502=0

Q: Describe in words the surface whose equation is given. (Assume that r is not negative,) 0 = 1/4 the…

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Q: Find an equation of the surface consisting of all points P(x, y, z) that are twice as far from the…

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Q: The set of all points equidistant from the point (0, 2, 0) and the plane y = −2, find an equation of…

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Q: Find an equation of the surface consisting of all points P(x, y, z) that -1 as from the point (0,0,…

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Q: 1. Find an equation for the set of points whose distance from the plane y = 2 is the same as the…

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Q: Find parametric equations for the surface obtained by rotating the curve y = 36x4 – x2, –6 <t< VI

A: Here we solve the given problem of calculus.

Q: Find the area of the surface with parametric equations x =U2 , y = UV, z = (1/2) V2 ,O<U<1,0<V<2

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Q: Describe the surface whose equation is 2x2 + 2y? +2z? – 3x 9y + 5z - 2 = 0. NOTE: Enter the exact…

A: Let's find.

Q: Considering the planes 5x − 4y + z = 1 and 4x + y − 5z = 5. Find parametric equations for the line…

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Q: Find an equation for the surface of revolution formed by revolving the curve in the indicated…

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Q: Find an equation for the surface of revolution formed by revolving the curve in the indicated…

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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: 7. In three-dimensional cylindrical coordinates, sketch the surfaces of constant e, constant y and…

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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 an equation in spherical coordinates for the surface represented by the rectangular equation.…

A: Solution is given below:

Q: Sketch the surface z=sqrt(4-y2)

A: a.

Q: Find an equation in cylindrical coordinates for the surface represented by each rectangular…

A: Given  x2+y2=4z2 It can be compared with the equation of elliptic cone with its axis along z-axis.…

Q: Describe the surface whose equation is 2x? + 2y? + 2z² – x – 5y + 7z – 2 = 0. - - - NOTE: Enter the…

A: The given equation of surface is: 2x2+2y2+2z2-x-5y+7z-2=0

Q: Find an equation of the sphere with center (1, -8, 3) and radius 5. (x – r- 1)² + (y + 8)² + (z –…

A: Given: Center of the sphere (1, -8, 3) and radius of the sphere is 5. To describe: The intersection…

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: Describe the surface whose equation is a coordinate equal to a constant for each of the coordinates…

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Q: 2. 4x2 – 25y² – z² = 100 -

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Q: Find parametric equations for the surface obtained by rotating the curve y = e¯X, 0 < x < 5, about…

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Q: Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its trace on y…

A: Given quadratic surface is 100x2+36y2+225z2=900. a  We have to write the name the given quadric…

Q: ory Current Attempt in Progress Describe the surface whose equation is 2 + 2y? + 2z2 – 7x - 3y + 5z…

A: Given that: 2x2+2y2+2z2-7x-3y+5z-2=0

Q: Describe the surface with equation The surface is a sphere with center { i x² + y² +2²³ + 10x + 6y +…

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Q: Find an equation for the surface of revolution formed by revolving the curve in the indicated…

A: Surface of revolution: It is a surface which is created by revolving a curve about an axis. We have…

Q: Find an equation for the surface of revolution formed by revolving the curve in the indicated…

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Q: 34. What is the name of this quadric surface? Elliptic paraboloid O Elipsoid O Hyperbolic paraboloid…

A: We are given: 9x2+z2-3y=0 This surface is an Elliptic paraboloid as shown below :

Q: Describe the surface whose equation is 2x2 + 2y + 2z² – x- 5y + 7z – 2 = 0. NOTE: Enter the exact…

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Q: Find an equation for the surface of revolution formed by revolving the curve in the indicated…

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

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Q: Find an equation for the surface of revolution formed by revolving the curve in the indicated…

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Q: Describe the surface whose equation is 2.x2 + 2y? + 2z² – 7x – 3y + 5z – 2 = 0. - NOTE: Enter the…

A: We need to describe the surface for given equation.

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 an equation for the surface of revolution formed by revolving the curve in the indicated…

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Q: Find an equation in rectangular coordinates for the surface represented by the spherical equation. 프…

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Q: 1. Define solid geometry and plane geometry. 2. Differentiate solid geometry from plane geometry. 3.…

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Q: Find an equation for the surface of revolution formed by revolving the curve in the indicated…

A: Given problem is

Q: Find an equation for the surface of revolution formed by revolving the curve in the indicated…

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Q: Sketch, or describe in words, the following surfaces whose equations are given in cylindrical…

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Q: Find an equation for the surface of revolution formed by revolving the curve in the indicated…

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Q: The equation of a surface in rectangular coordinates is given. Find the equation of the surface in…

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Q: Find an equation in cylindrical coordinates for the surface represented by the rectangular equation.…

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Q: .. .. Find an equation for the surface of revolution formed by revolving the curve in the indicated…

A: Given equation of curve is z2 = 4y The radius of function about y axis is  z2 = 4yz = 4yz = 2yr(y) =…