Describe the surface whose equation is 2.2+ 2y? + 2z2 - 3x- 5y+7z- 2 = 0.

Q: Show that the equation represents a sphere, and find its center and radius: 2x2+2y2+2z2=8x-24z+1

A: To show that the equation represents a sphere, and find its center and radius: 2x2+2y2+2z2=8x-24z+1

Q: Describe the surface whose equation is  2x2 - 3y2 - 4z2 - 12x - 6y - 21 = 0.

A: To describe the surface whose equation is 2x2 - 3y2 - 4z2 - 12x - 6y - 21 = 0.

Q: Find the equation in rectangular coordinates of the quadric surfaceconsisting of the two cones φ =…

A: The relation between spherical and rectangular coordinates in polar form is given by the following…

Q: (a) Identify and graph the quadric surface -r - y + 2? = 1.

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Q: Find the center and the radius of the sphere x + y² += - 4x+ y-6z+13=0 Center: Radius:

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Q: What is the y-coordinate of any point in the xz-plane?

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Q: Let (P) be the surface of equation 2x+4y² =16 and (Q) be the surface of equation x=-1-3y²-3-². Then…

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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: Identify the quadratic surface, explain the shape and describe the traces. 1. a) x^2 + y^2 + 1/2…

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Q: Determine the surface with the equation 2x2-3y2-4z2-12x-6y-21=0

A: We have to determine the surface with the equation 2x2-3y2-4z2-12x-6y-21=0.

Q: Find the center and the radius of the sphere. x2+y2+z2+4x-5z=0

A: Comparing with standard equations of sphere,

Q: Find an equation for the surface obtained by rotating the parabola y=2 about the y-axis.

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Q: The r- intercept of the surface 2r2 + 6y² – 3:² = 8 is equal to c.(+2, 0, 0) d. (±3, 0,0)…

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Q: Find the equation of a sphere whose center is on line 5y+2z=0=2x-3y and passes through point…

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Q: Identify the type of surface represented by the given equation.

A: Since we are given x25+y28-z22=1 -(i) and for finding the nature of surfacewe will solve for z.

Q: Identify the type of surface (in space) given by the equation, and sketch the surface. a. x^2+y^2=25

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

Q: Given 4x = 3y + 3z2 (a) Write the equation above in standard form. (b) Identify the surface. (c)…

A: As per the guidelines we are only supposed to answer three subparts , for next parts please ask…

Q: Find the value of x and y in the rhombus. y° 3x 2x

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Q: Identify the surface whose equation is given.

A: ρ cos Φ =1  -> z = 1 ( as we know in spherical coordinates z = ρ cosΦ)

Q: Find the point on the sphere x2+y2+z²=900 that is farthest from the point (14,-5,-1).

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

Q: What is the highest point on the ellipse that is the intersection of the plane x + y + 2z = 2 and…

A: Given  the intersection of the plane x+y+2z=2 and the paraboloid z=x2+y2

Q: Find the equations of the sphere through the circle x + y +2 =1, 2x+ 4y+5z= 6 and touches the plane…

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Q: Identify and sketch the quadric -- = 0 3 2 3 surface z 2

A: For the solution of the problem follow the next step.

Q: Find the center and the radius of the sphere. x2+y2+z2+3x+3z=

A: See the details solution in below

Q: - The surface 5x^2 + 2z^2 = 3y is heading towards which axis? - Identify the surface generated by…

A: 5x^2 + 2z^2 = 3y x= 3n1 ,  y = -3(5n12 + 2n22) , z = 3n2

Q: 9. Write the equation of the quadric surface in standard form then identify the quadric surface…

A: The standard form of quadric surface : Ax2+By2+Cz2+Dxy+Exz+Fyz+Gx+Hy+Iz+J=0…

Q: determine the type of the quadric surface (x/3)2+(y/4)2+ 2z2 = 1

A: Here we have to determine the type of quadric surface.  x32+y42+2z2=1

Q: Find an equation of the surface consisting of all points P(r, y, z) that are twice as far from the…

A: To find an equation of the surface whose all points are twice as far from the plane z=-4 as from the…

Q: Find an equation of the sphere with center (2,-3,6) that touches the xy-plane.

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Q: What is the equation of the sphere whose center is at (0, -3, 8) and with a radius of 5? Select the

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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: Plot the surfaces over the indicated domains. Ifyou can, rotate the surface into different viewing…

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Q: Find the point closest to the origin on the line of intersection of the planes y + 2z = 12 and x + y…

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Q: Find the Parametric equ. for 3X-6y-22 = 15 and ? 2x+y- 22=5 X=3+14t : y=rt-,2=15

A: Parametric equation: a type of equation that employs an independent variable called a parameter…

Q: Consider the equation 4y^2 + z^2 − 4x − 8y + 4z + 8 = 0. Then classify the surface it represents…

A: Given equation of surfaces 4y2+z2-4x-8y+4z+8=0

Q: Identify the quadratic surface, explain the shape and describe the traces. 1. a) z = -sqrt…

A: Identify the quadratic surface,Explain the shape and describe the traces.a) z=-2-x2-y2b) x2+z22=1c)…

Q: Identify and sketch the section of the surface at x = 0. + 4 Туре: 61 6F 6r 4 41 2 4 6 8 -6 -4 -6 -4…

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Q: |The length of the latus rectum of the ellipse defined by 25x²+9y² – 300x – 144 y + 1251 = 0 is А.…

A: To find  The length of the latus rectum of the given ellipse.

Q: sketch the surface 2² 16 11 -1

A: Given:x29+y24-z216 = -1

Q: Identify and sketch the surfaces in space, 3-D. x² +y² = a² a) b) z = 4– x² – y² x² + y? - z? = 0 |

A: a)  x²+y² = a²

Q: The surface 2x2 -2y² – 2z² =1 is identified as

A: The given surface is qudratic surface. Different qudratic surfaces 1)Ellipsoid 2)Hyperboloid in one…

Q: Identify and sketch the surface r+y +- 2r +2 = 0.

A: Answer

Q: Identify and sketch manually the graph of the quadric surface 25x² -25y² -9z²-150x + 200 = 0.

A: Solution :-

Q: The equation of the sphere with center (7,-10, 1) that touches that y-axis is

A: To find the equation of the sphere we need center of the sphere  radius of the sphere.  Here given…

Q: Which of the following is an equation of a plane surface? O 2x +3y + 4z = 4 O 2x2 +3y + 4z = 4 O 2x…

A: To find:- Select an equation of plane surfacefrom given options

Q: Identify the surface that corresponds to the equation 100y^2 - 25x^2- 4z^2 = 1.* O elliptic…

A: The various types of quadric surfaces are: the ellipsoid, the hyperbolic paraboloid, the elliptic…

Q: The length of the latus rectum of the ellipse defined by 25x2 +9y2 - 300x – 144 y + 1251 = 0 is 3.0…

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Q: Let 11 be the surface with the equation = 2√y+1 and let 12 be the sphere with equation x²+y+z² 16x +…

A: Given data÷ Find the center and radius of the sphere   x2+y2+z2-16x+16y-4z+76=0   General form of…

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: find the equation of a sphere. x^2 +y^2 + z^2 +2x - 2z -2 = 0

A: see the details solution in below