Consider the given equation of a surface in cylindrical coordinates. r= 7 csc(0) Find the equation of the surface in rectangular coordinates. Identify the surface. cylinder ellipsoid (not sphere) O sphere hyperboloid of one sheet O hyperboloid of two sheets elliptic cone elliptic paraboloid hyperbolic paraboloid O plane Graph the surface.

Q: Given the quadric surface below 0.8 0.6 0.4 0.2 -2 -1 0 1 2 a. Specify the name of the quadric…

A: a)Here, the trace of the ellipsoid is in elliptical shape.

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

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Q: 1. Identify the quadric surface 2. Write the equation of the traces of the quadric surface on the…

A: The equation is of form  y2-z23-x212=1  This gives a quadric surface called Hyperboloid of two…

Q: Analyze the trace when the surface z = (1/2)x2 + (1/4) y2 is intersected by the indicated planes.…

A: Consider the value of y=4

Q: Describe the surface with equation x² + y? + z? + 8x + 4y + 2z – 4 = 0) The surface is a sphere with…

A: Topic:-  sphere equation

Q: State the type of the quadratic surface: ()' - (5)' + (¿)° = 1 2 1. Ellipsoid 2. Hyperboloid of one…

A: Here we need to find the type of quadratic surface and it's trace obtained by the plane z=1

Q: Consider the following equation of a quadric surface. 289 100 a. Find the intercepts with the three…

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Q: Identify and draw a sketch of the surface having the equation z = 3x^2.       parabola…

A: Find your answer below

Q: Consider the following equation of a quadric surface. y? ? 121 * 121 121 a. Find the intercepts with…

A: Given: A quadric surface, y2121 + z2121 - x2121 = 1 To determine: (a) The intercepts with the three…

Q: Given -2-x2 -,2 = 1 (a) Write the equation above in standard for (b) Identify the surface. (c) What…

A: Given that: z2-x2-y2=1

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

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Q: Let B be the surface with equation x = -1+ /y. (a) Provide a hand-drawn sketch of B. Label the…

A: We are given that B as the surface with equation x=-1+y2. For (a), Let us sketch the surface B. It…

Q: Match each equation with a description of the shape of its surface. 2 A. hyperbolic paraboloid B.…

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Q: Find an equation for the surface obtained by rotating the parabola y=2 about the y-axis.

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Q: d. x+ z = 5

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

Q: 1. (a.) Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its…

A: Here the given surface  -100x2+36y2+225z2=900 ..........(1)

Q: Identify the surface defined by the following equation. 2x-y +z? = 0 The surface defined by the…

A: Form of equation               Surfacex=Az2+By2                     Eliptic Praboloidx=Ay2-Bz2…

Q: Let B be the surface with equation x =-1+ /÷y. 24 (a) Provide a hand-drawn sketch of B. Label the…

A: As per the question we are given a 2d equation as : x = -1 + √(y/2) And we have to first draw its…

Q: 1. (a.) Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its…

A: The given curve is -100x2+36y2+225z2=900. (a) To identify: The name of the given curve and its axis.…

Q: Find the equation of the surface of revolution when the hyperbola (y^2 / 9) − (z^2 / 4) = 1 is…

A: Find the equation of the surface of revolution when the hyperbola (y^2 / 9) − (z^2 / 4) = 1 is…

Q: Consider the following equation of a quadric surface. 4x2 + 4y2 + 9z2 = 36 a. Find the intercepts…

A: (A) The intersection with x-axis is when y=z=0. So, x2=364=9⇒x=±3 So, x-intercepts are (3,0,0) and…

Q: Consider the following equation of a quadric surface. x? y? 121 a. Find the intercepts with the…

A: Here , we have given equation of x2121 + y29 = z2 .   Foe x-intercept coordinates of x and y will be…

Q: Describe the surface with equation 2 + y? + 2? + 12x + 8y + 2z – 11 = 0 The surface is a sphere with…

A:

Q: Consider the equation surface S in the three dimensional space given by the equation X = z2+2 (a)…

A: Given the surface S in the three-dimensional space given by the equation x=z2+2. (a) The graph of…

Q: Given  z=44−27x2  is a curve in the xz-plane. If the equation of the surface generated by revolving…

A: Given  z=44−27x2 is a curve in the xz-plane. The equation of the surface generated by revolving the…

Q: Consider the following equation of a quadric surface. a. Find the intercepts with the three…

A: Let a three variable equation fx,y,z=01 x - intercepts when y=0=z2 y - intercepts when x=0=z3 z -…

Q: Consider the following equation of a quadric surface. 400 400 a. Find the intercepts with the three…

A: The given equation of a quadratic surface                   y2400-x2400=z ⋯⋯⋯⋯⋯ (1) To find     The…

Q: Consider the equation below. x2 + 9y – 9z? = 0 Reduce the equation to one of the standard forms.…

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

A: Given equation: x2=4y    which has to be revolved about the y-axis.

Q: Identify the surface in the xyz coordinate system given by the equation: z=-√(4-y^2) O cylinder O…

A: Let's find.

Q: x² A quadric surface is defined by the equation: + 3y² = 3 + z 3 1. Solve the equation of the traces…

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Q: Find an equation of the surface of revolution by revolving the plane curve 3y = v(9- [(x-1)] ^2 )…

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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 of the surface of revolution generated by revolving the plane curve about the…

A: It is required to find the equation of the revolution generated by revolving the given plane about…

Q: Consider the following equation of a quadric surface. x y 49 + 324 a. Find the intercepts with the…

A: Answer

Q: Consider the equation below. 2y2 + z2 - x - 8y – 4z + 12 = 0 (a) Reduce the equation to one of the…

A: Consider the equation…

Q: Consider the following equation of a quadric surface. 4x? + 16y? + 16z? = 64 a. Find the intercepts…

A: The graph of the given surface is given as follows :

Q: y? -x* as an ellipsoid, hyperboloid of one sheet, hyperboloid of two sheets, elliptic cone, elliptic…

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Q: Consider the following equation of a quadric surface. y? z? =D1 25 2 - 25 25 a. Find the intercepts…

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

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Q: Consider the following equation of a quadric surface. x2-y² +z2 - 4 = 0 a. Find the intercepts with…

A: The equation of a quadratic surface                                                 -x2-y2+z2-4=0…

Q: Consider the equation below. x2 - y? +2 - 2x + 2y + 4z + 1 =0 Reduce the equation to one of the…

A: Given equation is      x2-y2+z2-2x+2y+4z+1=0

Q: x2 (z – 1)? +1= 0. 4 4 9.

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Q: The equation of a surface is shown below. Which among the choices best describes the surface…

A: For the given statement

Q: 1. (a.) Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its…

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Q: Consider the given equation of a surface in cylindrical coordinates. r = 4 Find the equation of the…

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Q: Consider the equation below. x2 + y2 - 2x - 8y – z + 17 = 0 Reduce the equation to one of the…

A: Reduce the equation of the standard form. And sketch the surface.

Q: Consider the given equation of a surface in cylindrical coordinates 2 + z? = 5 Find the equation of…

A: Solution is given below:

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

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Q: Find the area of the surface generated by revolving about the x-axis the ellipse x = acost, y =…

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