15-18 - Center and Radius of a Sphere Show that the equation represents a sphere, and find its center and radius. 15. x + y? + z – 10x + 2y + 8z = 9 16. x + y? + 2? + 4x – 6y + 2z = 10 17. x + y? + 2 = 12x + 2y 18. x + y? + :² = 14y – 6z

Q: 4. The terminal point of v=3i-2j is (4, -4) if the initial point is (1,-2). 5. The standard equation…

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Q: The center of the sphere whose one of its diameters has end points P1(1,-3,-1) and P2(2,0, 1) is…

A: Sphere Definition: A sphere is a three-dimensional counterpart of a circle, with all its points…

Q: Find the equation of sphere having its centre on the line 2x - 3y = 0 = 5y + 2z and passing through…

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Q: The equation of the sphere with center (3, 8, 1) and satisfied by the point (5, 1, – 1) is a.(x –…

A: This question is related to mensuration, we will solve it using given information.

Q: 2. Find an equation of the sphere satisfying the given conditions. a. It is concentric with the…

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Q: =LL-v225-2J16-/225-x-y This ride will consist of a metal mesh sphere with a diameter of 30 feet.…

A: Explanation of How will we write the equation of any sphere. First: Note the radius r of sphere.…

Q: a) Find the distance between the points (7,0,1) and (-5,4,2). b) Find the center and radius of the…

A: According to our guidelines we can answer only three subparts ,or first question and rest can be…

Q: 23. A circle of centre (2, 3) touches the x-axis at (2,0).The equation of the circle is. A (x + 2)2…

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Q: Q1) Find the centers and radius of the spheres for: (x - V2) + (y- v2) + (z + V2) = 2 * (+ })' • (-…

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Q: Write the equation of the sphere in standard form. x2 + y2 + z2 + 12x − 8y + 4z + 52 = 0 Find its…

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Q: 13. DETAILS SCALCET8M 12.1.016. Find an equation of the sphere that passes through the origin and…

A: To find the equation of the sphere having centre (1, 3, 4) and passing through the origin.

Q: 5.4. F(х, у, 2) 2³), M is the outer surface of the sphere x² + y² + z² = a². %3D

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Q: 29-30 - Equations of Spheres Show that the equation repre- sents a sphere, and find its center and…

A: given: the equation x2+y2+z2-2x-6y+4z=2

Q: b) [. Provide two points on the sphere that you have in part a. c) [. The intersection of the sphere…

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Q: The equation of the sphere with center (2,-3, 10) that touches that y-axis is OA (x- 2)° + (y +3)* +…

A: Solution is given below:

Q: uestion 4 Find an equation of the sphere that passes through the origin and whose center is (-6, –…

A: Given equation of sphere passes through origin and centre at (-6,-7,6) Now we have to find the…

Q: Find the center and radius of the sphere x^2 - 6x + y^2 + 8y + z^2 = 2

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Q: hyperbolic paraboloid by matching the equation with one of the forms given in Table 11.7.1. State…

A: As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost…

Q: 29-30 - Equations of Spheres Show that the equation repre- sents a sphere, and find its center and…

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

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

A: It is given that the equations of the sphere are x2+y2+z2-2x+2y-4z-19=0 and…

Q: The equation represents Select one: x² + y² + z² + 6z = 4x + 12 a sphere with center(-2, 0, 3) and…

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Q: Graph  the elliptical cylinder in 3 dimensions

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Q: Suppose you have a choice of two coffee cups shown below, having the same height and fitting…

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Q: had a question regarding how to find the point on a sphere nearest to other points. I was given…

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Q: 2.2 Find the maximum and the minimum values of f(x,y,z) = 5x – 3y +7z on the sphere x +y +z = 83. 2

A: Here we find the maximum and minimum value of f(x, y, z)

Q: (a)i- Show that the following equation represents a sphere, and find its center and radius. x² + y²…

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Q: Find the point on the sphere x2 + (y - 3)2 + (z + 5)2 = 4 nearest a. the xy-plane. b. the point (0,…

A: Consider the given equation of the sphere.

Q: (P) is a circular paraboloid around z-axis and (Q) is the surface given by + += 1 This option (P) is…

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Q: a) x² x² + y² - 2² +22=1 ɔ) x² − y² + 2y + z² = 2 =) x² 4x − y² — z² = −3 d) x² - 4x − y² — z² = −4…

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Q: = 8. = 8. 18) Area of a rectangle with base = x and height = y Area of a rhombus with one diagonal…

A: Area of rectangle with base x and height y is given by  Area =base ×height =xy

Q: Find the minimum and maximum distances between the sphere x +y +z =64 and the point (3,5,9). .....…

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Q: Find an equation of the largest sphere contained in the cube determined by the planes x = 0, x = 8,…

A: given the planes:

Q: Quèstion 5 Find an equation of the sphere that passes through the origin and whose center is (-2, 6,…

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Q: The center of the sphere whose one of its diameters has end points P;(1,3, –1) and P2(2,-2,1) is |…

A: Given that the endpoints of the diameter of the sphere are P11, 3, -1, P22, -2, 1 To find its…

Q: A surface in space is defined by the equation 2 + z? = 4. Which one of these is true? The surface is…

A: The given equations is x2+z2=4

Q: Quèstion 5 Find an equation of the sphere that passes through the origin and whose center is (-10,…

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Q: Find the center and radius of sphere x^2+y^2+z^2-20z =0.

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Q: Bz2 - 42 = 0 ted quadratic surface in which the xy-, xz-, and yz-terms have been eliminated. (U

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Q: Find an equation for the sphere centered at (1, -2, 3) containing the origin. V14 = x + y+ z 14 = x?…

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Q: Find the point on the sphere X+y+=4 and the point on The sphere x+y ansi- 2 Selution:-

A: To find the point on the sphere which is farthest from the given  point (1,-1,1).

Q: How to find the maximum and minimum points on the sphere?

A: Maximum and Minimum points will occur where derivative will be zero for teh function. In case of…

Q: Find the equation of the yz-trace of the sphere. x2 + y2 + z2 - 12x - 8y + 8z + 28 = 0 Sketch the…

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Q: 3. 4. Circumscribing the triangle with vertices (a, U), (a, d), (U, %). 2a = 0. Ans. z2 + y+ ax- ay…

A: In the question we have to find equation of circle circumscribed in a triangle. NOTE - As per…

Q: 2 Find the point on the sphere x² + y² + z² = 16 farthest from the point (-1,-1,1). The point is…

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Q: 2. Find an equation of the sphere satisfying the given conditions. a. It is concentric with the…

A: In this question, we want to find an equation of a sphere which is concentric with the given sphere.

Q: Find an equation for the sphere with the given center and radius. Center (0, -3, -6), radius = 9…

A: The equation of a sphere is  (x - h)2 +(y - k)2 + (z - k)2  = r2 Where (h , k , l) is the center of…

Q: (5)* + (2)" is rotated about the x-axis by 90°? at is the equation of the surface obtained when the…

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Q: If h, k,1, a, b € R+ . Of the quadric surfaces whose equations are shown below, which one generates…

A: Given:            z=l+1 The standard form of the equation of a hyperbola with center h,k and…

Q: (x² + y²) dS, o : the surface of the sphere x2 + y² + z² = 4.

A: 128π3 Is the surface integral.

Q: 13–16 Show that the equation represents a sphere, and find its center and radius. 13. х2 + у? + z? —…

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