Plot the surfaces over the indicated domains. Ifyou can, rotate the surface into different viewing positions. z = y2, -2 ≤ x ≤ 2, -0.5 ≤ y ≤ 2

Q: find the center and the radius of the sphere x^2+y^2+z^2+2x-5z=0

A: Equation of the sphere is  (x-a)² + ( y-b)2+ (z-c)2 = r2  Where (a,b,c) are the centre and r be the…

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

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Q: find the center and radius of the sphere x^2+y^2+z^2+8x-8y+6z=-16

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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 z = ln x The radius function about z axes is  r(z) = x = ez

Q: (a) Identify and graph the quadric surface -r - y + 2? = 1.

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Q: Select a correct name for this surface and point out the lowest point. O A cylinder, (-1,2, – 1) O A…

A: As we already know that each cross-section of a vertical cylinder of the form z-c=(x-a)2+(y-b)2 is…

Q: Find an equation for the surface consisting of all points P for which the distance from P to the…

A: Let, P(x, y, z) be the point on required surface.

Q: Build a surface and determine their appearance (name).-4x2+12y2-3z2+24=0

A: Find the surfaces for x = 0, y= 0 and z = 0.

Q: Describe the surface whose equation is 2.x2 + 2y? + 2z² – x - 9y+7z - 2 = 0. NOTE: Enter the exact…

A: topic- geometry

Q: d. x+ z = 5

A: Given the equation of surface is : x+z=5

Q: 3. 4x+y 4

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Q: Simplify and identify the quadric surface, given: 9x – 18x + 4y² + 16y – 36z + 25 = 0

A: The given function is- 9x2-18x+4y2+16y-36z+25=0

Q: 21 y2 a. x + 1 %3D

A: The given equation is x21+y29+z24=1We know the general equation of ellipsoid is x2a2+y2b2+z2c2=1So…

Q: Classify and sketch the surface 4x2 − 3y2 + 12z2 + 12 = 0.

A: Solution:Given surface4x2 - 3y2 + 12z2 + 12 = 0    — 1divide equation 1 with -12,⇒ x2-3 + y2u - z2 -…

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 type of surface (in space) given by the equation, and sketch the surface. a. x^2+y^2=25

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

Q: For the given surfaces, classify the indicated trace (empty set, point, lines, ellipse, hyperbola,…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Match the surfaces (a)-(e) with the contour diagrams (1)-(V, (M)

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Q: escribe and sketch the surface in R*represented by the equation x + y = 2.

A: Given that - Describe and sketch the surface in R³ represented by the equation x + y = 2.

Q: Use appropriate software to sketch each of the following surfaces and identify it. State the name of…

A: Using Geogebra graphing software to plot these 3D graphs. All are shown in the below images.   i)…

Q: Identify and choose the appropriate quadric surface. 36z = x + 6v

A: First try for different values of x,y,z and see where the graph lies.

Q: Find the center and radius of the following sphere: x2 + 2x + y? + z2 + 4z + 1 = 5

A: The equation of the sphere is x2+2x+y2+z2+4z+1=5 To find its center and radius.

Q: What is the name of the surface defined by the equation -y? + x? = 1?

A: We have to find surface name defined by the equation -y2-z22+x2=1

Q: If a sphere passes through the points A(0, 1, 2) and B(−1, 2, 2) and its center C lies on the…

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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: Identify and sketch the surface by plotting different traces of (x – 1)2 – (x + 2)2 - (z + 4)² = 0.

A: According to the given information, it is required to identify and sketch the surface.

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

A: The given equation is   z=x2+2y2at-1≤x≤1and-2≤y≤3

Q: Sketch and describe the surface created by p=2 csc(ø).

A: Coordinate systems are used to represent a point in three dimensions. The cylindrical-coordinate…

Q: Identify and sketch the section of the surface at x = 0. 2y? - x + 2z = 32 %3D Type of the surface:…

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Q: Classify each of the following quadric surfaces as either an ellipsoid, hyperboloid of one sheet,…

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Q: Consider the equation 4y^2 + z^2 − 4x − 8y + 4z + 8 = 0. Then classify the surface it represents…

A: Given equation of surfaces 4y2+z2-4x-8y+4z+8=0

Q: Match the equation with the surface it defines. Also, identify each surface by type. 1. x = y? - z2;…

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Q: What sort of surface is represented by the equation r = 2? Circle ) Hyperbolic Paraboloid Cone O…

A: which surface we can represent by radius that sort of surface :

Q: A possible graphical representation for the surface of equation (y -k)? +B(x-h) = 0, with B > 0, is:…

A:

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: Simplify and identify the quadric surface, given: 9x2 – 18x + 4y² + 16y – 36z + 25 = 0

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Q: ) Classify the equations below as one of the following types of surfaces: A. parabolic cylinder, B.…

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Q: Identify and sketch the section of the surface at x = 0. 1 Туре: 61 61 61 61 4. 4 4. 4- 2 -8 -6 -4 4…

A: Let's find.

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

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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: 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: For the given surfaces, classify the indicated trace (empty set, point, lines, ellipse, hyperbola,…

A: we have to find the trace on x = 0

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: Try to visualize the set of all points (x, y, z)in a coordinate space that are equidistant from the…

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Q: x² + 9y² – 2² = 9

A: The given equation is: x2+9y2-z2=9           (1)

Q: Identify and sketch the section of the surface at x = 0. 16 16 Type of the surface:

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Q: Sketch the surfaces ASSORTED x2 + y2 = z

A: we have to sketch the surface x2 + y2 = z.

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.