A region R is bounded by the line y = x +2 and a parabola with vertex at (0, 0). Find the equation of the parabola such that the numerical value of the area of region R is the same as the numerical value of the distance traveled along the parabola between the points of intersection with the given line. Final answer(s) should be exact values (where possible) as well as approximations rounded to 7 decimal places.

A region R is bounded by the line y = x +2 and a parabola with vertex at (0, 0). Find the equation of the parabola such that the numerical value of the area of region R is the same as the numerical value of the distance traveled along the parabola between the points of intersection with the given line. Final answer(s) should be exact values (where possible) as well as approximations rounded to 7 decimal places.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

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