Which figure represents a three-dimensional solid with only one face?

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

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Q: Question 20 Given the equation -4x² + 8x - 4y² – 56y - 4z² + 32z = -312 - a) Show that the given…

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Q: 2 4x + 9to vertex form by Change the standard form equation y = x" completing the square. -

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Q: A suspension bridge with weight uniformly distributed along its length has twin towers that extend…

A: Solution

Q: A plane in 3D-space system A. is generated by at least three points. B. can lie in more than one…

A: A plane in 3D-space system is generated by three points from which if the first nd second points…

Q: Rewrite to standard form by completing the square and identify the conic: a) x² +16y² - 10x +96y +…

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Q: Describe the solutions of the first system of equations below in parametric vector form. Provide a…

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Q: Can two horizontal planes intersect?

A: Explanation: If two planes are horizontal, it means both are parallel to the x-axis.

Q: If you project a square onto a plane, what shape do you get?

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Q: Describe the solutions of the first system of equations below in parametric vector form. Provide a…

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Q: Analyze each conic.

A: Given equation is 9x2-y2-18x-8y-88=0. To analyze the conic. Solution: Completing the square of the…

Q: Question 20 Given the equation -4x² + 8x - 4y² - 56y - 4z² + 32z = -312 a) Show that the given…

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Q: Describe the solutions of the first system of equations below in parametric vector form. Provide a…

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Q: Sketch the plane representing −2x² = −8 Instructions:show the plane

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Q: Write the equation in standard form 4y2-9x2-18x-8y-41=0

A: 4y2-9x2-18x-8y-41=04y2-8y-9x2-18x-41=04y2-2y-9x2-2x=41y-129-x--124=1y-1232-x+1222=1 The equation…

Q: Analyze each conic.

A: Given : The equation is x-324  -y225 = 1 .

Q: Classify the conic first, and then conv equation to standard form

A: The equation of given conic is -2x2+5y2+24x-20y-102=0 ......................(1)             Compare…

Q: 2 y² - x² = 9 a) Sketch the graph of the equations in three dimensions and identify the surfaces.

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Q: What are the coordinate planes in three-dimensional space? How are they drawn?

A: The Cartesian coordinate system is used to describe three-dimensional space which consists of an…

Q: 3. Look at the given picture. Is it possible for two planes to intersect in a point? Explain your…

A: Given: The picture of two planes, To determine: whether two planes can intersect at a point or not…

Q: Which quadric surfaces have both hyperbolas and parabolas as traces?

A: Consider the given: The intersection of a three-dimensional surface and a plane is called a trace.…

Q: Describe the solutions of the first system of equations below in parametric vector form. Provide a…

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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: Find the equations for the spheres whose center is (7, -1, 5) and radius is 2.

A: To find: The equation of sphere whose centre and radius given. Given: The centre of sphere is 7,-1,5…

Q: 3. Equation: Center: Vertices: Co-Vertices: Foci:

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Q: entify the coni

A: Given,           x2+16y2-160y+384=0

Q: Find the equation of the hyperboloid shown in the figure, B Z where a = 8, b = 10, A = 32, B = 40, Z…

A: Answer given below.

Q: state the center, vertices, foci, and minor endpoints 5. 25x2 + 16y² – 192y - 250x- 399 0 %3D

A: Consider the given equation, 25x2+16y2-192y-250x-399=0 make the perfect square as follows,…

Q: Prove that a·a= = |a|2, where a is a vector with n components

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Q: The given point is in cylindrical coordinate system. Find its coordinates, in exact form, in the…

A: We find r, theta, and z from the cylindrical coordinate and then plug them into the rectangular…

Q: Describe the solutions of the first system of equations below in parametric vector form. Provide a…

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Q: Exer. 1-14: Find the vertices and foci of the ellipse. Sketch its graph, showing the foci. 9. 2. 25…

A: The vertex of ellipse x2a2+y2b2=1 is a point at which it makes its maximum turn.  Let a>b. Then…

Q: c) Find the center and radius of the sphere whose equation is x2 + y? + z? + 10x + 4y + 2z – 19 = 0

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