Monte Carlo method is used to compute the area of a parallelogram with vertices at (−2,0), (3,0),(0,4) and (5,4) by generating 56000 points in a rectangle with vertices at (−2,0), (5,0), (−2,4), and (5,4). How many points do we expect will fall in the parallelogram?,

Monte Carlo method is used to compute the area of a parallelogram with vertices at (−2,0), (3,0),(0,4) and (5,4) by generating 56000 points in a rectangle with vertices at (−2,0), (5,0), (−2,4), and (5,4). How many points do we expect will fall in the parallelogram?,

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.2: Direct Methods For Solving Linear Systems

Problem 2CEXP

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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.

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A Monte Carlo method is used to compute the area of a parallelogram with vertices at (−2,0), (3,0),(0,4) and (5,4) by generating 56000 points in a rectangle with vertices at (−2,0), (5,0), (−2,4), and (5,4). How many points do we expect will fall in the parallelogram?,

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