c) Consider the following two functions are given: y = 2x - x² and y = x². i. Sketch the two curves on the same pair of axes for the interval 0 ≤ x ≤ 1 and show the following on the graph: y-intercepts, x- intercepts, and points of intersection. Shade the area bounded between the two curves. ii. Use integration to find the shaded area in Part (i) (area enclosed between the curves).

c) Consider the following two functions are given: y = 2x - x² and y = x². i. Sketch the two curves on the same pair of axes for the interval 0 ≤ x ≤ 1 and show the following on the graph: y-intercepts, x- intercepts, and points of intersection. Shade the area bounded between the two curves. ii. Use integration to find the shaded area in Part (i) (area enclosed between the curves).

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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