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A solid is constructed so that one side is the region between the lines x = a, x = b, the graph of y = f(x) and the x-axis, and the cross-sections of the solid perpendicular to the x-axis are isosceles right triangles, as shown in the figure. Which of the following integrals represents the volume of this solid? f* (f(x))² dz a O of)) do a #½(ƒ(x))² dx y=f(x) A X b each slice is a right triangle with base = height

A solid is constructed so that one side is the region between the lines x = a, x = b, the graph of y = f(x) and the x-axis, and the cross-sections of the solid perpendicular to the x-axis are isosceles right triangles, as shown in the figure. Which of the following integrals represents the volume of this solid? f* (f(x))² dz a O of)) do a #½(ƒ(x))² dx y=f(x) A X b each slice is a right triangle with base = height

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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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A solid is constructed so that one side is the region between the lines x = a, x=b, the graph of y = f(x) and the x-axis, and the cross-sections of the solid perpendicular to the x-axis are isosceles right triangles, as shown in the figure. Which of the following integrals represents the volume of this solid? O ○ f*" (f(x))² da a © *$ π(f(x))² dx °S ² / 2 (F(x))²³ dx π(f(x)) dx y=f(x) each slice is a right triangle with base = height X
Transcribed Image Text:A solid is constructed so that one side is the region between the lines x = a, x=b, the graph of y = f(x) and the x-axis, and the cross-sections of the solid perpendicular to the x-axis are isosceles right triangles, as shown in the figure. Which of the following integrals represents the volume of this solid? O ○ f*" (f(x))² da a © *$ π(f(x))² dx °S ² / 2 (F(x))²³ dx π(f(x)) dx y=f(x) each slice is a right triangle with base = height X
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