Find the center and radius of the sphere with equation (r – 1)? + (y + 4)² + (z+ 6)² = 16 %3D Center: Radius:

Q: For Exercise, determine whether the transverse axis and foci of the hyperbola are on the x-axis or…

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

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Q: Write the equation of the sphere in standard form. x2 + y2 + z2 + 12x - 4y + 4z + 35 = 0 Find its…

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Q: 7. x2 +y? +14x- 12y + 4 0 %3D Center : (_and radius:

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

Q: Choose the equation that represents the graph of the cylindrical surface below O a² + z² = 1, y = 5…

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Q: Find the center and radius of the sphere x + y + z² +4x+6y-10z+2=0 and graph the sphere.

A: x2+y2+z2+4x+6y-10z+2=0 We need to find the center and radius of the given sphere and graph the…

Q: 5. Show that the equation represents a sphere, and find its center and radius: x²+y? + z2 – 8x – 10y…

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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: a) Find the center of the sphere satisfying the equation, x2 + y2 + z2 - 2x + 4y + 2z = 10.…

A: The given equation of sphere,   x2+y2+z2-2x+4y+2z=10

Q: Identify the type of surface represented by the given equation. 를 - 2.2 2 8. O Parabolic cylinder…

A: The given equation is z22-x28=y2. As we know that the general equation of the parabolic cylinder is…

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

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Q: Write the equation of the sphere in standard form. + y? + z? + 12x - 8y + 2z + 44 = 0 Find its…

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Q: Find the equation of the xy-trace of the sphere. (x – 2)? + (y + 4)² + (z – 6)? = 72 Sketch the…

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Q: Which quadric surface is represented by the equation below? 22 = 1 16 y? 4 Ellipsoid Cone Elliptic…

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Q: Answer the following questions about the sphere whose equation is given by a? + y? + z2 – 4x + 8y =…

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Q: Find the center and radius of each sphere. Sphere: x? + y? + z² – 10x - 8y + 6z = 0 Center: Radius:…

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Q: Consider the following equation of a sphere. What is the result of adding the coordinates of the…

A: We first complete the square for the sphere.…

Q: What is the center of the hyperbola? (y+3)? 9. (x-2)2 =D1 2 Enter your answer by filling in the…

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Q: cribe the surface with equation 2 +y +? + 8x + 6y + 2z - 10 = 0 surface is a sphere with center ( i…

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Q: Find the center and radius of the sphere with equation (x - 6) + (y + 6) + (z + 1) = 49 Center:…

A: The given sphere equation Compare with standard equation of the sphere To find out the centre and…

Q: For Exercise, determine whether the transverse axis and foci of the hyperbola are on the x-axis or…

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Q: c) Find the center and radius of the sphere whose equation is x² + y² + z² + 10x + 4y + 2z – 19 = 0

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Q: F. dr, where C is the ellipse (x + 3)² + 5(y – 2)² = 16 and F(r, y, z) = x²i +y²j+ z²k.

A: The vector field is Fx, y, z=x2i+y2j+z2k. The curve C is x+32+5y-22=16. Obtain the parametric…

Q: Match the ellipsoids shown in the table with the equations. Answer Bank x2 + 2y2 + 2z² = 4 2x2 + 2y?…

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Q: Show that the equation represents a sphere, and find its center and radius: x²+y² + z² – 8x + 6y +…

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Q: The equation z? = 10 – x² – y? defines a/an %3D a) ellipsoid c) paraboloid b) cone d) hyperboloid

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Q: Complete the square to write the equation of the sphere in standard form. x2 + y2 + z2 + 5x - 2y +…

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Q: Find the equation of the sphere of radius 3 centered at (2, 3, 9). Ox? + y? + z? = 9 Ox² + y? +z? =…

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Q: Write the equation of the sphere in standard form. x2 + y2 + z? + 6x – 2y – 2z = 14 Find its center…

A: Consider the equation of a sphere : where a,b,c are coordinates of the center of circle from the…

Q: Match the parabolas in Exercises 1-4 with the following equations: x? = 2y, x2 = -6y, y? = 8x, y? =…

A: To match the following equations, with the graphs of parabolas and find its focus and directrix,

Q: For Exercise, an equation of a hyperbola is given. Determine whether the transverse axis is…

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Q: Find the equation for the sphere centered M(2,-3,2) tangent to the D:6x-3y+2z-11=0 plane

A: we have to find the equation for the sphere centered 2,-3,2 and tangent to the plane 6x-3y+2z-11=0.

Q: What is the length of latus rectum of the ellipse given the equation, 81(r + 8) +144(y- 2) = 11664?…

A: We need to find length of latus ractum of ellipse.

Q: For the quadric surface, - + z = = 1, setting the value of z = 1will give you which conic section? 4…

A: The given quadric surface is x24-y29+z=1  To find when z=1which conic section represents the…

Q: What is the second coordinate of the center of the sphere of the equation below?…

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Q: Choose the equation that represents the graph of the quadric surface below 3 O y = 4 – 5x² – 922 O I…

A: We have given a quadric surface. It is asked to find the equation of the surface from the given…

Q: For Exercise, determine whether the transverse axis and foci of the hyperbola are on the x-axis or…

A: The general equation of the horizontal transverse axis hyperbola is given by,

Q: The device is a parabolic dish with a sound booster at its focus. The device is 6ft across and 20…

A: This question is based on parabolic equation.

Q: Consider the Equation:  x2 + y2 + z2 + 8x - 6y + 2z + 17 = 0 1. Show that the equation represents…

A: x2 + y2 + z2 + 8x - 6y + 2z + 17 = 0

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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Q: Choose the equation that represents the graph of the cylindrical surface below O2 + y? = 1, = 5 O…

A: We have plotted the graph:- second option

Q: Find the center and the radius of the sphere. x^2+y^2+z^2-6x+3z=0

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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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Q: Complete the square to write the equation of the sphere in standard form. x² + y² + z? + 9x - 2y +…

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Q: The interior of a satellite TV antenna is a dish having the shape of a (finite) paraboloid that has…

A: Given, The interior of a satellite TV antenna is a dish having the shape of a (finite) paraboloid…

Q: Find equetion of Hhe parabole farmm an I with focus zt (3,0) and divectrix x=-3

A: Focus =  F= (3,0)  Directrix - x =-3  i.e. x+3=0

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: The signal received by a parabolic antenna is concentrated in its receiver, which is placed,…

A: For the Paraboloid,z-axis is it's Principal Axis,Also, it is symmetric with the lines x = 0 (yz…

Q: For Exercise, determine whether the transverse axis and foci of the hyperbola are on the x-axis or…

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