First, assume the ball passes through the points (3,8), (5,20/3), and (6,5). Use this data to set up a system of three equations and three unknowns (a, b, and c) that will allow you to find the equation of the parabola. Use matrix manipulation to solve for a, b, and c. Set up a matrix equation for AX = B based on the system of equations you just derived where X is a matrix of the variables a, b, and c. Then, use Gauss-Jordan elimination to find the inverse of A. Finally, use your results to write the equation of the parabola. Show your work and final equation in the space provided.
First, assume the ball passes through the points (3,8), (5,20/3), and (6,5). Use this data to set up a system of three equations and three unknowns (a, b, and c) that will allow you to find the equation of the parabola. Use matrix manipulation to solve for a, b, and c. Set up a matrix equation for AX = B based on the system of equations you just derived where X is a matrix of the variables a, b, and c. Then, use Gauss-Jordan elimination to find the inverse of A. Finally, use your results to write the equation of the parabola. Show your work and final equation in the space provided.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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First, assume the ball passes through the points (3,8), (5,20/3), and (6,5). Use this data to set up a system of three equations and three unknowns (a, b, and c) that will allow you to find the equation of the parabola.
Use matrix manipulation to solve for a, b, and c. Set up a matrix equation for AX = B based on the system of equations you just derived where X is a matrix of the variables a, b, and c. Then, use Gauss-Jordan elimination to find the inverse of A. Finally, use your results to write the equation of the parabola. Show your work and final equation in the space provided.
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