Find the following: The traces of the surface x2 + y? + 22 = 6 in the planes parallel to the coordinate planes and identify the surface.

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

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Q: (b) Sketch the trace of the surface z = 2x? – y? when x = -1. Label your axes, and give the…

A: Given surface is  z=2x2-y2          (i) By putting x=-1 in (i), the surface becomes z=2-y2 The graph…

Q: Find the surface are generated when y= (x^3)/5 is revolved about the x axis on the interval…

A: Explanation of the solution is given below...

Q: Q5 Sketch the surface whose equation is given by (2 – 2)° = (2x² + 4y°).

A: We will use basic of graph plotting.

Q: Describe and sketch the surface 4x2 + y2 = 4

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Q: Match the graph of the surface with one of the contour maps. f(x, y) = e¹ x² + y² O 3 4 y x

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Q: sketch the given surface. x 2+ 9y 2 + 4z 2 = 36

A: To sketch the given graph

Q: Sketch the portion of the surface that lies in the first octant: x = y. 12 1.5 1 0.5 0.15 . 0. . 2.

A: The given plane is in first octant and the plane is given by:  x = y

Q: 4d. z =-x´ + y´ Name of the surface

A: The structure obtained from the given equation is more like of dome structure

Q: draw and identify the graph of the following surfaces a. x² + y² = sin²z, z = [0, π]

A: Any surface in the 3D plane can be represented in the form of f(x,y,z)=0. A graphing utility can be…

Q: Sketch the surface created by 4.r2 + 9y? + 3622 = 36. %3D

A: Given,4x2+9y2+36z2=36 Simplify equation (i) as x29+y24+z21=1  .....(i) Intercepts along x,y,z…

Q: What is the name of the surface defined by the equation y? x? + + 2z? = 1?

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Q: Use traces to sketch and identify the following surface 25x² + 4y? + z² 100.

A: Given: The surface 25x2+4y2+z2=100.

Q: Express the following equations in standard form to name the corresponding surface and sketch a. x²…

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

Q: cribe the surface with equation x + y° + z? + 8x + 4y + 2z – 43 = 0 surface is a sphere with center…

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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: Identify and sketch the surfaces x2 + z2 = y2

A: Given surface is x2+z2=y2. The given equation is in the form of x2a2+z2c2=y2. So, the given surface…

Q: Q3: Find the points on the surface x^2+z^2-630, closest to the origin.

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Q: Sketch the given surface (x/4)^2 + (y/8)^2 + (z/12)^2= 1

A: Given: x42+y82+z122=1

Q: Identify and sketch the surfaces x2 + (y - 1)2 + z2 = 1

A: given: the equation of the surface x2+y-12+z2=1

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: Given the expression x⁴-3x+7=y³ on the interval [3,5], determine the surface of revolution if it is…

A: Given that, the expression is x4-3x+7=y3.

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: Identify the surfaces represented by the equations and sketch their graphs. 1. x2 + 4y2 + 9z2 36

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Q: Name the surface and draw an accurate Graph of x² – y² – z² = 1 in R’.

A: Given: The surface x 2 - y 2 - z 2 = 1     To determine: The name of the given surface and the graph…

Q: a) Sketch the graph of the surface z = 5 – x2 – 3y?. b) Sketch the graph of z = 2.

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

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

A: given surface 9x2+4y2+36z2=36 claim- to find the trace of given surface in planes x=k , y=k , z=k ,…

Q: Identify the equation associated with each graphed surface. (a) O z? – 1 = y? + 2? O 22 + y² = z O…

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Q: (a) What does the equation x² + y´ = 1 represent as a curve in R? (b) What does it represent as a…

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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: Find an equation for the surface obtained by rotating the line z = 2x about the z-axis. + x²) b. z?…

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Q: Identify and sketch the surfaces z = - (x2 + y2)

A: Identify and sketch the surfaces z = - (x2 + y2)

Q: 9. Reduce the following equation to one of the standard forms, classify the surface, then sketch the…

A: General equation of an ellipsoid is given by, (x-p)²/a² +(y-q)²/b² +(z-r)²/c²= 1

Q: Sketch the graphs of the following surfaces in R3 A) z^2=y^2+x^2 B)z=y^3

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Q: Match the graph of the surface with one of the contour maps. f(x, y) = el - x2 + y2 3 4 N

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Q: Identify the following surfaces and sketch your graphic: A)4x² + y²-2y+9Z-35=0 B)y² + 4z² =x

A: Quadric Surface: A graph of a function of two variables z=fx, y is called a quadric surface. There…

Q: x = z? + y? Name of the surface

A: x=z2+y2 We need to name the surface.

Q: (a) x² + 2x + 4y² + 16y + 9z? 19

A: Sketch and identify the surfaces: (a) x2+2x+4y2+16y+9z2=19.

Q: Sketch the surface in R' of the equation presented. x2 + y? - 8x = 0

A: Sketch the graph on xy-plane, i.e., when z=0

Q: Describe the surface given by the equation, and find xy-trace, xz- trace, and yz-trace. 16x2 + 16y?…

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Q: Name the surface and draw an accurate Graph of y = x² + z² in R'.

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Q: Name the following surface in R³ (be as specific as possible), and describe the horizontal traces of…

A: Given, x2+y216-z2=1 The intersection of surface with a plane is called the trace of the surface in…

Q: Identify the following surfaces and sketch your graphic: A)4x² + y²-2y+9Z2-35=0 B)y² + 4z² =x

A: We will standardize  given equations 1st and then find required surface ,

Q: Sketch the surface given by the function. z= 9-x?-y? 2x -2 2x

A: Answer

Q: Consider the surface given by the equation z - y = x2. Draw a total of at least 3 traces in at least…

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Q: Identify the surface by completing the squares. x + 4y? – 2 – 6x + 8y + 4z = 0 O An elliptic…

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Q: Match the graph of the surface with one of the contour maps. f(x, y) = e¹-x² - y² O O X x

A: Given that       f(x,y) = e1-x^2-y^2

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

A: solution given below