Find an equation of the sphere with center (1, -8, 3) and radius 5. Use an equation to describe its intersection with each of the coordinate planes. (If the sphere does not intersect with the plane, enter DNE.) intersection with xy-plane intersection with xz-plane intersection with yz-plane Need Help? Read It

Q: Find an equation for the sphere whose center and radius are given. Center Radius 1 5 4 Choose the…

A: The solution is :

Q: Describe the surface with equation x² + y? +z? + 10x + 4y + 2z – 51 = 0 The surface is a sphere with…

A: solution:-x2+y2+z2+10x+4y+2z-51=0complete the…

Q: Quèstion 4 1 points Save A Given a sphere with center (6, 2, – 10) and radius 3. Find an equation of…

A: Solution is given below:

Q: Describe and graph (using a computer) the surfaces a) yz = 4 b) x² - y² = 1 c) 4x² + y² + 4z² − 4y −…

A: a) yz = 4  This represent the hyperbola. And  y = -4 , z = -1  y = -2, z = -2  y = -1, z = -4 y = 2…

Q: A sphere has center in the first octant and is tangent to cach of the three coordinate planes. The…

A: First we have to assume equation of sphere according to the given conditions.

Q: Find an equation of the sphere containing all surface points P = (x, y, z) such that the distance…

A: NOTE: Refresh your page if you can't see any equations. . here we have the distance from P to A is…

Q: 2. Find an equation for the set of all points P for which the distance from P to the plane z = 4 is…

A: The distance formula is given as d=x-x02+y-y02+z-z02.

Q: Solids of revolution Which of the quadric surfaces can be generated by revolving a curve in one of…

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Q: You are at the point (3, 1, 1), standing upright and facing the yz-plane. You walk 2 units forward,…

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Q: Find equations for the spheres whose centers and radii are given inExercises 61–64.

A: 61) 62)

Q: Find the distance from the point to the plane. (2,5,6), у + 6z%30 The distance is

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Q: nd the indicated distance. The distance between the point (1,2,3) and the plane 2x-3y+z=4

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Q: Find an equation of the plane containing the points A = (1,0,2), B= (– 1,1,2),C=(5,0,3).

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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: x? + y? + z? = 5x + 5y + 5z. 1. Find the radius of the sphere. Radius: r = 2. Find the center of the…

A: The equation of a sphere is given by,…

Q: The z-coordinate of the centre of the sphere that has (6, 7, -5) and (8, -2, 0) as endpoints of…

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Q: For the above plot of the two sheeted hyperboloid (xa)2−(yb)2−(zc)2=1(xa)2-(yb)2-(zc)2=1, find the…

A: As per the question we are given the equation of a sheeted hyperboloid as : (x/a)2 - (y/b)2 - (z/c)2…

Q: (a) Classify, according to type (hyperbolic, elliptic, parabolic) the following equations: (i) 3Uxx…

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Q: Find the point on the sphere x +y +z = 4 farthest from the point (1, – 1,1). The point is ( ID:…

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

A: Sphere

Q: Quèstion 2 Given a sphere with center (8, 2, – 3) and radius 4. Find an equation of the intersection…

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Q: Describe the given set of points with a single equation or with a pair of equations. The circle in…

A: The solution is given below:

Q: Describe the surface whose equation is 2.x + 2y? + 2z - 5z - 9y +3z- 2 = 0. NOTE: Enter the eract…

A: Given equation is equation of sphere.

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

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Q: Describe the surface with equation The surface is a sphere with center { i x² + y² +2²³ + 10x + 6y +…

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Q: Consider the following 2 planes: SEE IMAGE a) Explain/Show that the 2 planes are not parallel. b)…

A: We have to show that the 2 planes are not parallel and the parametric equation of the line of…

Q: type the equation of the sphere with a center (1, 3, −4) and a radius of 5 units. Find and explain…

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Q: 5) Find the distance from D to the plane containing A, B, and C NOTE: Enter the exact answer.…

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Q: Quèstion 3 Given a sphere with center (10, 2, – 4) and radius 3. Find an equation of the…

A: Follow next step

Q: 15-18 - Center and Radius of a Sphere Show that the equation represents a sphere, and find its…

A: Given: 15.x2+y2+z2-10x+2y+8z=9 16.x2+y2+z2+4x-6y+2z=10 18.x2+y2+z2=12x+2y

Q: et A be the sphere having diameter with endpoints (1, –9, –2) and (7, –1, 8). (a) Give an equation…

A: This is a problem of 3D geometry and multi-variable calculus.

Q: Describe the surface whose equation is 2x² + 2y? + 2z² – 7x – 3y + 5z – 2 = 0. | NOTE: Enter the…

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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: 4. Calculate the distance between the point Q(3, 1, 7) and the plane 2x-6y-z=3. Don't use a formula.…

A: Given point Q(3,1,7)and the plane 2x-6y-z=3. The objective is to find the distance between the point…

Q: Find the center and radius of the sphere that has (3,-8, 8) and (5, 16, -24) as endpoints of a…

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Q: equation for the circle with the given center C(h,k) and radius a Then sketch the circle in the x-y…

A: Given, Centre of circle = (-1,5) = (h,k) Radius of circle = r = 10 General form of eqaution of…

Q: Find an equation of the sphere with center (1, -11, 8) and radius 10. Use an equation to describe…

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Q: The prism is bisected by the xz-plane. The point P = (5, 4, 5). Determine the equation of the plane…

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Q: ) Find an equation for the sphere. ) Describe the sphere's intersection (also called trace) with the…

A: General equation of of sphere: x-a2+y-b2+z-c2=r2 Given that: a,b,c=0,4,-3 and r=5   a) Required…

Q: 2. Find an equation for the set of all points P for which the distance from P to the plane z= 4 is…

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Q: A plane meets the coordinate axes in A, B, C. If the centroid of AABC is (a, b, c). Show that the…

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Q: %3D Which of the following point is the closest point on the sphere x2 + y²+ z² = 4 from the point…

A: If we look at the point P(3,1,-1), we can see that its z coordinate is negative.  And the distance…

Q: Find an equation of the sphere whose endpoints of a diameter are (−2, 0, 5) and (−1, 2, 3). Show all…

A: Here we have to obtain an equation of the sphere whose endpoints of a diameter are (−2, 0, 5) and…

Q: estion 7 Find an equation of the plane containing the points A=(1,0,2), B = (-1,1,2), C= (5,0,3).…

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Q: (1) y = 12 – x², y = x² – 6

A: Since you state area in rectangular coordinate I do first question of the above as per our company…

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

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Q: Describe the surface whose equation is x2 + y? + z2 + 6x + 8y + 10z – -1= 0. Surface description:…

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Q: Use surface sketching (Find symmetry, intercepts, traces, sections and full sketch of object) to…

A: We are given the equation of a paraboloid as : x2/81 + y2/81 = z/3 And we have to sketch its surface…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.