Identify the surface of the equation, show solutions.   Choices: A. Elliptic Paraboloid B. Cone C. Sphere D. Cylinder E. None of the above

Q: Find the coordinates of the foci for the following hyperbola. (x – 5)2 (y + 7)² = 1 16 25

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Q: Show that the equation represents a sphere, and find its center and radius: x? + y? + z2 – 2x – 4y +…

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Q: Find the center and radius of the sphere x? + y? + z? - 6y + 8z = 0 Find an equation of the sphere…

A: Note:- according to the company policy we can attempt only one question so please upload the next…

Q: Identify the surface defined by the following equation. 25x? +y? = 4 The surface defined by the…

A: Answer

Q: what is the length of the minor axis of the ellipse given by the equation x^2/169 + y^2/64 = 1 1.…

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Q: Find the vertices, foci, and the lengths of the major and minor axes for the ellipse X + y = 1. 36…

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Q: Find the standard equation of the sphere with the given characteristics. Endpoints of a diameter:…

A: Given endpoints of diameter ::

Q: Find the coordinates of the foci for the following hyperbola. (x – 1)? (y + 1)? 1 64 16

A: I am going to solve the given problem by comparing it with the standard form of hyperbola whose…

Q: Direction is provided for the sphere problem

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Q: 5. Find the equation for the sphere whose center is at (-1, 1/12-13) and radius is

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Q: A mirror is shaped like a paraboloid of revolution and will be used to concentrate the rays of the…

A: 4.17 feet

Q: Complete the square to write the following equation as standard equation of a sphere and find center…

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Q: Find the center and the radius of the sphere. x2 +y? +z? +5x + 6z = 0

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Q: Describe in words the surface whose equation is given. p = 5

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Q: State whether the given equation defines an ellipsoid or hyperboloid, and if a hyperboloid, whether…

A: We know that standard position the equations of quadratic surfaces, Ellipsoid: x2a2+y2b2+z2c2=1…

Q: Find the parametric form of (i) the circle x?+y? =p²

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find the radius and center of each sphere. [Hint: Complete the square in each variable.] x2 + y2 +…

A: Find the radius and center of each sphere. [Hint: Complete the square in each variable.] x2 + y2 +…

Q: c) Find the center and radius of the sphere whose equation is

A: Given, we need to evaluate the norm of the following vectors. i=<-1,2,4>ii=-i+7j

Q: Sketch the given surface

A: Given: x42+y82+z122=1 The given equation is an ellipsoid.

Q: a) [. Show that the equation 6x + 6y6z + 3x² + 3y² + 3z² = 18 represents a sphere, and find its…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Identify the quadric surface each of the following equations represent and sketch its graph in a…

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Q: Match each equation to the appropriate graph and classify (name) the quadric surface. c. -x2 – y? +…

A: Standard equations of quadric surfaces: a) Ellpsoid: x2a2+y2b2+z2c2=1 b) Hyperboloid of one sheet :…

Q: Indicate whether the following equations define a straight line (L), a circle (C), an ellipse (but…

A: Concept of identifying the equation Circle for the equation of circle, both x and y are squared…

Q: a. Consider the circle, x2 + 6x + y? + 18y + 89 = 0 i) Write the equation of the circle in standard…

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

Q: Find an equation for the sphere with a) center at the origin and radius length r = b) center (2, –…

A: Let the coordinates of centre of sphere be a, b, c and radius be r.

Q: Which quadric surface is this? *- ² + = 1 | Hyperboloid of One Sheet Hvnorholeid of Two Shoots

A: We are asked to identify the quadratic surface,

Q: Name the surface and draw an accurate Graph of y = x +z? in R'.

A: The surface is an paraboloid. The general equation of a paraboloid that is symmetrical about the…

Q: 4² – y² +25:² = 100 %3D

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Q: Write the equation for the above surface.

A: The surface represents the cylinder; with circle in the xz-plane. x2 + z2 = 1  (radius of the circle…

Q: Which of the following quadric surfaces most resembles a football or rugby ball? Select one: O a.…

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Q: Find the standard form of the equation of the specified ellipse. 16. Vertices: (0, +7); Foci: (±3,…

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Q: What is the length of the major axis of ellipse given by the equation y? =1? 144 81 O 18 units O 9…

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Q: Determine the equation for the sphere whose center and radius are given. Center Radius V13 (1,3,1)

A: Let center h,k,l=1,3,1 and radius r. Equation of the sphere with center h,k,l and radius r is given…

Q: Find the equation of the sphere in standard form that satisfies the given conditions. diameter PQ,…

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Q: Identify the surface with equation o = = 7

A: Spherical coordinates: The point Pρ, θ, φ represents a point in the spherical coordinates, where ρ…

Q: Write the reduced hyperbole equation, given: a) The foci ( ± 5.0), and the length L=9/2 of the rope…

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Q: The parabola has focus (0,-2) and directrix y=2.

A: equation of parabola with focus ( a , b ) and y = c  is given as below : here a = 0 b = -2  c = 2

Q: a. Consider the circle, x2 – 10x + y² – 22y + 46 = 0 i) Write the equation of the circle in standard…

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Q: Write the sphere equation x^2 + y^2 + z^2 + 2x - 2y -2z = 33 in standard form, and hence find the…

A: x2 + y2 + z2 + 2x -2y - 2z = 33To Find: The center and the radius of the sphere.

Q: Find the center and radius of the sphere with equation (z + 3)² + (y + 1)² + (z+4)² = 1 Center:…

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Q: Write the equation and determine the type of surface obtained by rotating this line around the…

A: When we rotate the given equation around y axis, we got hyperboloid:

Q: Identify and sketch by hand the graph of the quadric surface 25r2 – 25y? – 9z2 – 150r + 200 = 0. You…

A: An equation is given                              25x2-25y2-9z2-150x+200=0We have to identigy and…

Q: Consider the following equation of a quadric surface. 9x2 + 4y? + 4z? = a. Find the intercepts with…

A: Question is solved.

Q: Find the vertices, foci, and the lengths of the major and minor axes for the ellipse + Y = 1 25…

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Q: The surface of equation – +- 1 is: 16 A sphere O A cone O An ellipsoid || + 이닙

A: We can explain it as below using the concept of three dimensional geometry.

Q: Given the equation, (x-h+v-k)² =r?,what are the coordanates of the center? The coordinates of the…

A: Answer and explanation is given below....

Q: Find the angle of intersection of the parabola y^2=2x and the circle x^2 +y^2=8.

A: Given: Parabola is y2=2x and, Circle is x2+y2=8 Now to find the point of intersection between the…

Q: The equation x +4y² = 4 in three-dimensional space is an equation of which surface? O Ellipse O…

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Q: Find the equation of the sphere in standard form that satisfies the given conditions. diameter PQ,…

A: Distance between two points A(x1, y1, z1) and B(x2, y2, z2) is AB = x2-x12 + y2-y12 + z2-z12   The…