Find the point on the sphere  x2+y2+z2=7056 that is farthest from the point (5,−15,−2)

Q: Find the Center and radius of the Cirele x?+y²+4X-6y -320

A:

Q: Find the area of the rectangle whose vertices are the points with coordinates (5, 2), (5, -6), (0,…

A: Explanation: Given that,  Vertices are : (5, 2), (5, -6), (0, -6), and (0, 2).     Firstly we will…

Q: 9) Show that (x - y²)² – (x² + y²)² = -4x²y² using the difference of two squares property.

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Q: The center of the circle (x+3)2+(y-2)2=13 is(3,-2)

A: The given circle equation is (x+3)2+(y-2)2=13

Q: Given the equation (z+2) + (y- 15) - 144, identify the center and radius. Do not enter any spaces…

A: Given circle equation is (x+2)2+(y-15)2=144  We know the standard form of circle equation is…

Q: find the points on the surface

A: Given, S: x2-y2+6z=0=fx,y,z where normal line to the surface is parallel to the line passing through…

Q: (b) Every continuous map S? →T² is homotopic to the constant map.

A:

Q: The equation x² + 14x + y² – 8y +z2 +10z = – 65 represents a sphere whose center is (-7,4, – 5) |

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Q: Find the equation of sphere that passes through the point (-2, -8, -2) and centered at (8, 7, 8).…

A: To find the equation of the sphere that passes through the point -2, -8, -2 and centered at 8, 7, 8.

Q: Every continuous map T2 –→ S2 is homotopic to the constant map

A: To prove: Every continuous map from the Torus T2 to the sphere S2 is homotopic to the constant map.

Q: A billiards table is 8 feet by 4 feet, and has pockets in all four corners and in the middle of the…

A:

Q: Find the point on the ellipse x² + 6y² + 3xy = 40 with the greatest x-coordinate. (Use decimal…

A: We have to find the point on the ellipsex2+6y2+3xy = 40With the greatest x-coordinate.For this we…

Q: You are at the point (3,2,3)(3,2,3), standing upright and facing the xzxz-plane. You walk 4 units…

A: Given: You are at the point (3, 2, 3 ), standing upright and facing the xz-plane. You walk 4 units…

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.