9a2 + 4y? + 36z? = 36 %3D

Q: Find the area of the surface that is generated by revolving the portion of the curve y= x² between x…

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Q: Sketch the section of the surface at x = 0. y? – 42? = 4

A: Given

Q: Choose the equation that represents the graph of the cylindrical surface below O a² + z² = 1, y = 5…

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Q: Find the area of the surface generated by revolving x = t+2/3, y = +2/3t+3, -2/3 sts2/3 about the…

A: The surface area of disk is s=πr2 h  where r is radius and h is width

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 4x = y? + 20,…

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Q: Find the following: The traces of the surface x2 + y? + 22 = 6 in the planes parallel to the…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x3 y = 2 1 6x' 2

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Q: Find the traces of the given surface in the planes x=k,y=k,z=k. Identify the surface and sketch it.

A: The given surface is 4x=y2+z2 We have to identify the surfaces in the planes x = k,  y = k and z =…

Q: d. x-2x +y? + z = 3

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Q: Find the exact area of the surface obtained by rotating the given curve about the y-axis. |x = 3t 0…

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Q: Determine the characteristics of the equation z = p? -q? and find the integral surface which passes…

A: Given partial differential equation is z=p2−q2 We have to find he characteristics of the equation…

Q: Find the area of the surface obtained by rotating the curve x = /16 – y², 0 <y<2, about the y- axis.…

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Q: Given a surface, ƒ(x,y,z)=15, explain what you would do to find the equation of the tangent plane at…

A: Nothing

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = V6 - x, 4 <…

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Q: Describe and provide a rough sketch of the surface determined by the following equation: -x² +4y? -…

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Q: Consider the surface defined by the equation 2.x2 – 2y2 – z = 0. (a) Choose any one of the variables…

A: The equation is the form z=f(x,y) represents a surface in the space. In this problem the equation of…

Q: Identify and sketch the section of the surface at x = 0. 2y? – x + 22 = 50 Type of the surface:

A: This question is related to conic section .solve in step 2.

Q: Evaluate .(x+y² +=?) dS, where S is the portion of the paraboloid x=5+y² + z? contained within the…

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Q: 18. Find the surface area of the part of the sphere x² + y² + z² = 4 that lies inside the cylinder…

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Q: Identify the surface defined by the following equation. y 2 x2 Z= 10 16 The surface defined by the…

A: The given surface represents a Hyperbolic parabola.   A hyperbolic paraboloid is represented as…

Q: Sketch the section of the surface at y= 0. 4. + 9 36

A: Given the equation4x2+9z2=36

Q: Consider the surface 4a? – y? + 2z² + 4 = 0. a. Find the value(s) of k such that the cross-section…

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Q: Q5) Find the equation of the surface formed by rotating the following line about the x -axis. 1=…

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Q: Find the traces of the given surface in the planes x=k,  y=k, z=k. Identify the surface and sketch…

A: The given surface is 4x=y2+z2. We have to identify the surfaces in the planes x = k,  y = k and z =…

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: Find the area of the surface that is generated by revolving the portion of the curve y = 2/1-, zE…

A: Use formula of surface area revolved about x axis

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis 극v2 + 2)3/2, 4…

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Q: 2? = a? + 2y?

A: Consider the given surface z2=x2+2y2 The trace in the plane x=k are z2-2y2=k2 For k=0, z2-2y2=0⇒…

Q: Let 13 be the surface with the equation given by 4x²-9y²= 9(z²+4)

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Q: y = V8 - x, 2 <x S 8

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Q: Evaluate [[. (y+210 – = )aS, where S is the surface cut from the paraboloid y² +4z = 36 by the…

A: Surface integral of a function f(x,y,z) on a surface S given by z=g(x,y) ∫∫Sf(x,y,z)dS = ∫∫Df(x,y,…

Q: Let 13 be the surface with the equation given by 4x²-9y²= 9(z²+ 4)

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Q: Evaluate [[.(y+2/10 – z ) dS, where S is the surface cut from the par aboloid y +4z =36 by the…

A: Surface integral of a function f(x,y,z) on the surface S given by z=g(x,y) can be found by  ∫∫S…

Q: For each surface T(u, v), identify the best description of the surface's shape. F(u, v) Shape a.…

A: Any point on the three dimensional surface can be represented as x, y, z. The equation between x, y,…

Q: Find the area of the surface generated when the given curve is revolved about the y-axis. y= (3x/3,…

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

Q: 15r If F(r) = and o is the surface (r – 3)? + y +z? = 49 oriented outwards, what is the value of F n…

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Q: Sketch the surface in R' of the equation presented. 4x² + y? = 36 Interactive 3D Graph - 10…

A: The given equation is, 4x2+y2=36x29+y236=1x232+y262=1⋯⋯1 In 2D, equation (1) is a equation of a…

Q: Find the area of the surface of rotation created y = /2x – x2; <a< by rotating this curve around the…

A: By using area of surface formula, we calculate the required area of surface.

Q: p(x, y, z) = e¬x²-y²–z² +2yz

A:

Q: Find the traces of the given surface in the planes x = k, y = k, z = k. Identify the surface and…

A: Given - The surface z = x2 - y2 To find - The traces of the given surface in the planes x = k, y =…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. v2 + 2)3/2, 4 s…

A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.…

Q: What is the area, br^2, of the surface of the revolution obtained by rotating the graph of the…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 1 x = -(y2 +…

A: Given surface is x=13y2+232, 1≤y≤4, We know, If SA is the surface area of the curve by revolving…

Q: • Find the area of the surface generated by revolving about the x-axis the upper half of the ellipse…

A: IN THIS QUESTION WE HAVE TO FIND AREA FROM REVOLUTION OF A ELLIPSE.

Q: Find an equation for the surface generated by revolving the curve about the y-axis. y = 2x , (z = 0)…

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Q: Find the area of the surface generated by removing about the x-axis the upper half of the ellipse…

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Q: Use traces to help identify the surface y = 9x2+25z?. O a. Hyperbolic paraboloid b. Cone O c.…

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Q: Find the area of the surface that is generated by revolving the portion of the curve y = x between x…

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Q: Sketch the following, and identify the surface by name. Show all your work, including all traces. x2…

A: solution given below

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.