Identify the following surfaces as an elliptical paraboloid, hyperbolic paraboloid, a hyperboloid of one sheet, a hyperboloid of two sheets, a cone, a circular cylinder, an elliptical cylinder, or a parabolic cylinder, and identify the axis of symmetry as the x-axis, the y-axis, or the z-axis. а. ? 6x2 + 2y? – z = 0 b. ? 3y? – 6x? – 4z? + 1 = 0 C. ? -4a2 – 9y? + z² = 1 d. ? ? -8x? + 3y? – z? = 0 ? ? 4y² + 4z² = 1 е.

Q: The surface described by the conditions 2 + y? + z² = 4, x 0 is the same as the surface described…

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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 tank full of cooking oil has the shape of a paraboloid obtained by rotating a parabola about the…

A: We have given a paraboloid tank full of cooking oil. Height of tank = 4m. Radius at its top = 4m. We…

Q: %3D at

A: We need to substitute  x=au ,y = bv ,z= cw

Q: Identify the type of surface represented by the equation z2 x2 %3D 10 10 6. Parabolic cylinder…

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Q: Identify and sketch the section of the surface at x = 0. 25x + 4y? – 16z = 0 %3D Type of the…

A: Question is solved.

Q: Identify the type of surface represented by the given equation. 를 - 2.2 2 8. O Parabolic cylinder…

A: The given equation is z22-x28=y2. As we know that the general equation of the parabolic cylinder is…

Q: Which of the following is not a parametrization of the parabola y = r² ? Oz= Vt, y=t Oz-t, y-t Oz- ,…

A: We will check which parametrisation is correct.

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

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Q: Identify the surface in Cartesian coordinate for each of the following equations. а) р-5 and b)…

A: The solution is given below.

Q: Which quadric surface is represented by the equation below? 22 = 1 16 y? 4 Ellipsoid Cone Elliptic…

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Q: Which of the following quadratic surfaces describe an elliptic paraboloid shape ? OA. z = 2? – y² +…

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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: Find the equation of the surface of revolution that is generated by rotating the straight line y = x…

A: The surface of revolution that is generated by rotating x=f(y) around the y-axis is x2+z2=f(y)2 so…

Q: Find the center and radius of each sphere. Sphere: x? + y? + z² – 10x - 8y + 6z = 0 Center: Radius:…

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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: b. z= 4x2 + 4y²

A: The equation describes surface of elliptic paroboloid.

Q: Identify the type of surface represented by the given equation. x= - 72?, no limit on y O Cylinder O…

A: Consider the given equation, x=-7z2 This equation is of the form of parabola on the xz-axis and y…

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: cribe the surface with equation 2 +y +? + 8x + 6y + 2z - 10 = 0 surface is a sphere with center ( i…

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Q: Determine the projection of the following surface on the xz plane. (xz trace) 4z – + = 0 O Parabola…

A: Solution is given below:

Q: Determine the projection of the surface – y? = z on the yz-plane? (Hint: a = 0) Circle O No answer…

A: The solution is :

Q: Determine the projection of the surface - y = 3. on the yz-plane? (Hint: x = 0) O Parabola O No…

A: Given:      Surface x23-y2=z       By putting x=0 we get             023-y2=z

Q: Identify the surface below: 4z2 = 3x Select one: a. Hyperboloid of two sheets O b. Hyperboloid of…

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Q: (e) x = 4 – z²

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

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 the maximum distance from the surface x? + 2y² + z? = 3 to the point (1,0, –1) is Va+ bv6, what…

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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: Identify the type of surface represented by the given equation. x? ? z? 10 =D1 7 O Elliptical cone O…

A: Given query is to find the surface represented by given equation.

Q: Given a sphere with center (6, 4, – 3) and radius 5. Find an equation of the intersection of this…

A: First write the equation of sphere then satisfy the condition for xz-plane.

Q: Sketch the surfaces ASSORTED 16x2 + 4y2 = 1

A: we have to sketch the the surface 16x2+4y2=1

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: Determine the projection of the following surface on the plane of the xy-axes -2y? + + =1 3 3 O…

A: -2y2+x23+z23=1To find the projection

Q: Identify the type of surface represented by the given equation. 2 O Parabolic cylinder O Ellipsoid O…

A: We know that x-h2a2+y-k2b2=1 is the ellipse standard equationGivenx27+y22=2Divide 2 on both…

Q: For the surface a?+ - z = 1, a curve in a form of a parabola can be formed bi passing through a…

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Q: 7. Use a program to plot the surface generated by the following equation: 4x – 16y + z? = 16

A: we need to plot the following surface generated by, 4x2-16y2+z2=16

Q: Name the quadric surface: 2x-y²-z²=0 O Ellipsoid O Hyperboloid of one sheet фоалт 340095 t f quant

A: given quadratic equation 2x-y2-z2=0 claim- name the quadratic equation

Q: Sketch the curve of intersection of the surfaces. The ellipsoid 2x + 2y² + z? = = 24 and the…

A: We have to write the intersection curve

Q: Determine the projection of the following surface on the xz plane -y+ 름 =1 O Ellipse O Parabola O…

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Q: Reduce the equation to one of the standard forms, classify the surface, and sketch on paper.…

A: Express the equation 4y2+z2-x-16y-4z+20=0 in terms of the complete squares of y and z, and then…

Q: Which of the following best describes the surface represented by the equation -- =1? cylindrical…

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Q: Identify the following surfaces as an elliptical paraboloid, hyperbolic paraboloid, a hyperboloid of…

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Q: Which surface has the following equation? x2 – 2y = 32 O Cylinder O Plane Paraboloid Hynerboloid

A: Please refer to the image below

Q: Which quadric surface is this? y x2 Elliptic Paraboloid O Hyperboloid of Two Sheets O Elliptic Cone…

A: We have to answer the given equation is of which quadric surface.  given    we can see that its…

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

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Q: Identify the type of surface represented by the given equation. x? y? ? O Hyperboloid of two sheets…

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Q: Use traces to sketch and identify the following surface 25x2+4y2+z2=100

A: Ellipse is a closed curve around 2 focal points such that for every point on that curve, the sum of…

Q: Determine the projection of the following surface on the plane of the xy-axes -2y? + 물 + 물 =1 O…

A: Given data: -2y2+x23+z23=1 ..........................(1) Solution: We have to find projection of…

Q: Identify the surface by completing the squares. x +16y² – z? – 14x + 32y + 8z = 0 O A hyperboloid of…

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