Describe the usual orientation of a closed surface such as a sphere.

Q: Is 3 Point Geometry a complete geometry? Explain.

A: Yes, the three point geomtry is a complete geometry.Mathematically proving the completeness of a 3…

Q: The Mobius surface is orientable. Select one: True False

A: A surface is orientable if it has two sides. Then, one can orient the surface by choosing one side…

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

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Q: sketch the section of the surface

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Q: Sketch the following planes in the window [0, 5] × [0, 5] × [0, 5]. y = 2

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Q: Draw the front and right views of the solid below. Front Right

A: To draw front view and right view from given figure.

Q: Describe the intersection of the prism and the plane.

A: Given figure of the rectangular prism is,

Q: lentify the center and radius of the circle defined by the equatic x – 2)² + (y – 3)² = -

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Q: Write an expression for the length of a parametriccurve

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Q: What is Bimodal?

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Q: Explain Cylinder Surface?

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Q: What is a trace of a surface?

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Q: dzdydx. and the sphere

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Q: Describe the relationship between two planes in space.

A: Given: Two planes in space. To describe: Relationship between planes in space.

Q: What are objects in real life that exhibit a. elliptic geometry b. hyperbolic geometry

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Q: Explain what it means for a surface to be orientable.

A: They are the surfaces for which we can define clockwise consistently. e.g. Cylinder and spheres are…

Q: ) I would need help wit

A: 22. Given,                4y2+z2-x-16y-4z+20=0

Q: Identify the surface асе

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Q: What are the coordinate planes in three-dimensional space? How are they drawn?

A: The Cartesian coordinate system is used to describe three-dimensional space which consists of an…

Q: Find the center and radius of the sphere. * + + 5z +x+y+z= 4 5x +

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Q: Describe the shape formed by the intersection of the plane and the solid. 1. 2. 3.

A: Cut the given solid and visualise the cross sectional area that is the intersection of plane and…

Q: Find the equation of the sphere of radius at centered at (1, 4, 5)

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Q: Find the area of the resulting surface.

A: Given that: The equation of the curve is y = 14 x2 - 12 ln ( x)    , 4≤ x ≤5 .

Q: Discribe the topology through diagrams of surface and curves

A: Describe topology through diagrams of surface and curves.

Q: find the points on the surface

A: Given, S: x2-y2+6z=0=fx,y,z where normal line to the surface is parallel to the line passing through…

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

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Q: Find an equation of the largest sphere contained in the cube determined by the planes x = 0, x = 8,…

A: given the planes:

Q: Find the equation of the sphere which passes through (2, 1, 3), (3, 2, 1), (1, –2, –3), (–1,1, 2).

A: Given that the sphere passes through the points (2,1,3), (3,2,1), (1,-2,-3), (-1,1,2).

Q: classify the quadric surface given by equation and determine its standard form.−8x 2 − 8y2 + 10z2 +…

A: We have the quadratic surface : -8x2-8y2+10z2+32xy-4xz-4yz-24=0…

Q: Describe the plane x = 4.

A: Given, plane x=4we have to describe the plane x=4

Q: Is it possible to angle the flashlight in such way that the boundary of the lighted area is a…

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Q: find the surface of both of the trainagles, all the sides *show all the work*

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

Q: Find the point on the surface fx,

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

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

Q: Find the radius of the sphere x^2+4x+y^2 -2y+z^2-7=0

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Q: classify the quadric surface given by equation and determine its standard form.−x 2 − y2 − z2 + 4x y…

A: Given quadric Surface is         -x2-y2-z2+4xy +4xz+4yz =3 Comparing it to the general form,…

Q: The quadric surface 2 = x² + is called

A: We know that this is the equation of hyperboloid from the general equation of hyperboloid.

Q: Sketch a graph of each surface. Then, match each surface to its brief description in words.

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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

A: To Plot: Plot the surface over the indicated domains:z=y2-2≤x≤2-0.5≤y≤2

Q: Name the plane in two different ways.

A: Here, the objective is to name the plane in two different ways.

Q: Find an equation of the largest sphere contained in the cube determined by the planes a 1, a = 7, y…

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Q: 5. y-z =16

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Write an equation for a sphere centered at the point (4,7,2) with radius 5.

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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

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Q: a sphere has center (5,7,7) and is tangent to the yz coordinate plane. write an equation for the…

A: Center of sphere is And is tangent to yz plane

Q: For some surfaces, the normal lines at any point pass through the same geometric object. What is the…

A: To explain common geometric object.

Q: Show that the two planer diagram represent the homeomorphic surfaces

A: Given:-                 Show that the two planer diagram represent the homeomorphic surfaces