A trace of the surface +- z = 0 on the xy- plane is: O Point at (3, 2, 0) O Circle Ellipse Point at (0, 0, 0)

Q: Given S as a quadric with equation 4x^2 - (y-3)^2 + 4z^2 = 4 Find a generating curve for S (as a…

A: Given S as a quadric with equation 4x^2 - (y-3)^2 + 4z^2 = 4 Find a generating curve for S (as a…

Q: Find the equation of the tangent plane to the surface z =9-(r² +y2) at the point (1,1,7). Write the…

A: Given surface is z=9-x2+y2⇒x2+y2 +z=9⇒x2+y2 +z-9=0 Take  fx, y, z= x2+y2 +z-9 And, Point say P is 1,…

Q: (х-2)? (у-3)? For the quadric surface, = z², the center of the cone can be found at which point? 9…

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Q: Q1/A- Find the center and radius of the sphere have equation x + 2x + y²-2y + 2²-6z=14. B- Find the…

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Q: 1) The maximum distance from the origin of the xy plane to the circle described by (x – 12)? + (y –…

A: given equation of circlex-122+y-62=16 As per our guideline we supposed to answer only first question…

Q: Determine the center-radius form of the equation of a sphere which circumscribes two externally…

A: If center of sphere is (u,v,w) and radius is R then equation of sphere can be written as…

Q: Find an equation for the sphere with center at (-7,8,0) and radius = 9 O x2 + y? O x2 + y2 + z- -…

A: We have to find

Q: 9) Sketch the graph of the equation y² +2²=1 and correctly identify the surface.

A: Given: The equation is y2-x24+z2=1. To sketch: The graph of the given equation. To identify the…

Q: classify and sketch the surface given by x2+2y2+z2-4x+4y-2z+3=0 (indicate the vertex coordinate)

A: Here we have given a surface equation as below:  x2+2y2+z2-4x+4y-2z+3=0 The surface given by the…

Q: Find the equations of planes that just touch the sphere (x - 5)² + (y − 4)² + (z − 2)² = 25 and are…

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Q: Which of the following is the coordinates of all points on the surface with equation z = x³-5xy¹…

A: To find the coordinates of all points on the surface where the surface has a horizontal plane, we…

Q: Find the equation of the sphere with center c= (0, -1, 2) and radius r= 5. O x2 + y + 1)2 + (z + 2)2…

A: Biref answer is given below.

Q: Let S be the quadric with equation 36x² – 4y? – 9z2 – 36x = 0 - - (a) Classify the graph of S. (b)…

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Q: Consider the sphere (x − 4)² + (y − 3)² + (z − 5)² = 25 (a) Does the sphere intersect each of the…

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Q: Find the equation of- 1.1)a sphere 1.1.1) passing through (1,0,0), (0,2,0), (0,0,3) and (0,0,0)

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 17. [Shadows] Consider the parallelogram surface whose vertices are (0, 0, 1), (2,0, 1), (3, 2, 1),…

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Q: Find the center and the radius of the sphere that has the given x2 + y2 + z2 + 10x – 7y + 2z + 26 =…

A: Given a equation of the sphere , x2+y2+z2+10x-7y+2z+26=0 To fin the center and the radius of the…

Q: Describe the surface whose equation is given by x² + y² + z² + 6y - 2z = 0.

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Q: Identify the quadratic surface by name: Find and describe the xy-, xz-, and yz- traces, when they…

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Q: what type of quadric surface is the following: y² - (z²/3) = 1 + (x²/12) write the equation of its…

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Q: Let S be the surface with equation 4y2 + 4z2 - x2 - 16 = 0 1) Find an equation of a generating…

A: The given equation of surface is 4y2+4z2-x2-16=0 To find a generating curve of revolution.