14 Find the surfuce area the part of the parabolic cy linder 2=y? that the triangle with vertices xy-plane. of lies over (0,0), (0,1), (4,1) in the

Q: Question: find the hyperbolic distance between (0,10) and (3,4)

A: Formula Used: Hyperbolic distance between two points (x1,y1) and (x2,y2) is  distHx1,y1 , x2,y2 =…

Q: -3- Identify ALL the new coordinates of polygon ABCD after a translation of 2 units up and 4 units…

A: I'm providing hand written solution for better understanding. It's translation of coordinate…

Q: Line segment AB is a diameter of the x² +y² + z² - 2z + 8y = 9. Find point B if A = (0, у, 0).

A: To find the point B if Coordinates  of A are given for the sphere.

Q: Use Green's Theorem to evaluate (V1+r) dr+2ry dy, where C is the triangle with vertices (0, 0),…

A:

Q: 5. Find the exact value of distance from the point (1, -3, -1) to the plane 2x-y+3z = -5

A:

Q: Find the shortest distance from (1,1) to (1,2) on hyperbolic plane.

A: Here we take the  (1,1) to (1,2) on hyperbolic plane.    for example we take this    d(x,y) = a cosh…

Q: The plane ४/७ Incorrect y + + 6 4 SAPOR = 12 NIS = 1 intersects the x-, y-, and z-axes in points P,…

A:

Q: Find the points on the sphere x² + y° + z?=1. that are closest to and farthest from the point (2, 1,…

A: Given, x2+y2+z2=1   ;   point (2,1,2)

Q: Find the point on the sphere x? + y² + z² = 3 farthest from the point (-6, 6, –6). Farthest point is

A: Given equation of the sphere, Given point is (-6, 6, -6). Distance of the point (-6, 6, -6) from…

Q: Q4) Find the intersection of the line x = and the sphere x? + (y – 3)² + (z – 2)² = 4. A) (1,1,0) B)…

A: 1. In analytic geometry, a line and a sphere can intersect in three ways: No intersection at all…

Q: Sketch the triangle with vertices O, P = (7, 0, 7) and Q = (3,0, 3) and compute its area using…

A: To find the area of the triangle using cross product method when it's vertices are given .

Q: 9. Quadrilateral ABCD with vertices A(-2,0), B(0,4), C(5,5), and D(8,2) will be graphed in the…

A: The graph is shown below:

Q: 19. Find the distance from the point (3, -2,7) to the plane 4x – 6y + z = 5. Show all necessary work…

A: A detailed solution is given below.

Q: a Find the distance from the point pC,,1) to the plane 2K -3y+77=1

A:

Q: Given two lives (zt+l, st-s,lot) f (34, 2++3, z++1) loca ted in Side th plane ? (zt+l, 5t-5,lot ) f…

A:

Q: d the distance between the point (2, -4, 3) and the plane 5x – 2y + z = 10

A:

Q: Let T be the plane -y+2z = 7. Find the shortest distance d from the point Po=(2, 3, −4) to T, and…

A:

Q: 3. What is the distance from the line to the plane? 7-(2,3,8)+(1.1.1) 2x - 5y + 32 + 10

A:

Q: Which of the following point is the farthest point on the sphere z? + y² + z² = 4 from the point…

A:

Q: Find the distance from the point (-3, 2, -4) to the plane 5x + 5y - 4x = 3.

A:

Q: Suppose a triangle has the following vertices: v1 = (5, 0, 2) v2 = (-2, 3, 6) v3 = (3, -3, 1) I…

A: As per the question we are given the 3d coordinates of a triangle as : v1 = (5, 0, 2) v2 = (-2, 3,…

Q: Find a particular solution y(4) — 8y'"'+32y"—64y'+64y = e²ª[64 cos(2x) — 160 sin(x)] y(x) =

A:

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.