How do you find equations for spheres in space? Give examples.

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -9, 7) Radius:…

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Q: Practice Another Find the standard equation of the sphere with the given characteristics. Center:…

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Q: Find an equation of the sphere with center (3,0,2) and passin Skecth the sphere. 10 -10 -10 -s 10 y…

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

A: Equation of the sphere

Q: What is the length of the transverse axis of the hyperbola 1? - 25 64 O 16 units O 10 units O 8…

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Q: Determine the center-radius Form of the equation of the sphere who diameter has endpoints at (2, -3,…

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

Q: Find an equation of the largest sphere with center (6, 2, 8) that is contained in the first octant.…

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Q: (a) , Find an equation of the sphere that passes through the point (-3,2,-1) and centered at the…

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Q: A suspension bridge has a cable shaped like a parabola. The bridge is supported by two towers. The…

A: Eq of parabola in this case is X^2=4ay

Q: A sculpture has a hyperbolic cross section with height of 24 feet as seen in the figure. Write an…

A: The solution is given below in the next step:

Q: 1Q Find the equations for the spheres whose centers and radii is given Center (0, -1, 5) (-1, 1/2,…

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Q: How do you write an equation of a sphere with a given center and radius?

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Q: Q5 Is it possible to construct a sphere that pass through the following points? (a) {(0,1, 2, ),…

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Q: (a)i- Show that the following equation represents a sphere, and find its center and radius.

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: A bridge with a parabolic shape has an opening 128 feet wide at the base of the bridge (where the…

A: In this question we have to find that will sailboat clear the bridge without scrapping it.

Q: 2- Paraboloid what is it? explain briefly with images

A: Answer:   As per guidelines we can do only one question at a time so i had answered question 2 below…

Q: 5. Find the standard form equation of a sphere that has a diameter with endpoints (3, -2, 4) and (7,…

A: Given : The end points of a diameter of a sphere are  (3, -2, 4) and (7, 1, 4). To find : We have to…

Q: Find an equation of the sphere that passes through the origin and whose center is (1, 2, 3).

A: I have appended the formula used in the solution part.

Q: Show that the equation below represents a sphere and find its center and radius. 2x2 + 2y? + 2z² =…

A: The general equation of the sphere is, x-a2+y-b2+z-c2=r2   Here, the center of the circle is a, b, c…

Q: az Given the ellipsoid = 3 , find (7.0. 2). + 2

A: The equation of the ellipsoid is x2+y22+z22=3We should find ∂z∂x at (7,0,2).

Q: A 3. What is the length of the transverse axis of the hyperbola - = 17 8 units O 5 units O 10 units…

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Q: Write an equation for a sphere centered at the point (-1,2,3) with radius 8.

A: Center of sphere = (-1,2,3) Radius of sphere= 8 To find the equation of sphere

Q: Find the standard equation of the sphere that has the point (5, 6, 3) and (– 2, - 5, - 1) as…

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Q: 1. Identify the type of conic section whose equation is given, then find the vertices and foci.…

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Q: Find an equation of the sphere that passes through the origin and whose center is (3, 4, 2). Need…

A: First we have to write general equation of sphere.

Q: Find the equation of the sphere passing through P(-8, 5, 8) and Q(6, -7, 7) with its center at the…

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Q: Exercises 1. What kind of conics is given by the equation: 2 = 10

A: Given x2-y2+2y=10

Q: 3 (a)Complete the square to write the equation of the sphere in standard form. Find the center and…

A: As you does not specify particular question and provided multiple question so I am providing Answer…

Q: Find an equation of the sphere with center (-2, 4,7) and radius 4/3

A: Given center -2,4,7 and radius =43find the equation of the sphere.Equation of sphere…

Q: Find the equation of the sphere which passes through the origin and the points (0, 1. -1), (-1,2, 0)…

A: Use the genres equation of sphere passing through origin.

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: Find an equation of the sphere with center What is the intersection of this sphere with

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Q: A sphere has a diameter whose endpoints are Pi₁(3, 2, 1) and P₂(-1,-4,-4). Find the equation of the…

A: We will solve the problem

Q: Find the equation of the sphere passing through P(-6, 5, 6) and Q(2, - 1, 5) with its center at the…

A: Given that, P(-6,5,6) and Q(2,-1,5). Obtain the equation of the mid point of PQ.…

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

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Q: One of the six quadric surfaces cannot generated this way. Can you tell which surface?  Give an…

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: Central conics with center at the origin and vertices on the coordinate axes. А. yy' — хуу" + у? — 0…

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Q: (a) ) Find an equation of the sphere that passes through the point (1, -2,0) and centered at the…

A: According to Bartleby guidelines, we are supposed to do only one question. if you want more to be…

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: Classify(name) the conic: Axis of Symmetry parallel to: x- axis or y-axis (circle one) Opens: Up…

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Q: get flashlight and held it form a lighted area on the ground. Is it possible the flashlight in a…

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Q: 1. Show that the equation represents a sphere, and find its center and radius. 7 + g +7+% – 8G + He…

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Q: What are conic sections. Explain it.

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Q: Write the equation for a sphere centered at the point ( 10, 10, – 8) and has the point (9, 1, 6).

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Q: equation of the sphere with the given characteristics. Center: (-1, -7, 2) Radius: 3

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Q: Find the standard equation of the sphere with center (-2, 5, -3), and radius 5.

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Q: What is a cylinder? Give examples of equations that define cylinders in Cartesian coordinates.

A: Explanation: A cylinder is a surface which has straight parallel sides and two round shapes…

Q: How can mathematics be used to explain orientation in space?

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Q: Find the equation of the sphere passing through P(- 8, 7, 8) and Q(4, – 1, 7) with its center at the…

A: If the center of the sphere has coordinates h,k,l and radius r, then the equation of the sphere is…

Q: Find an equation of the sphere with center (-4, 2, 8) and radius What is the intersection of this…

A: Given centre -4,2,8 and radius 5 of the sphere .The equation of a sphere is given by the…