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(x))³² da [$T(f [**(f(x))²³ π(f(x)) dx dz ob S$ 1/2 (f(x))²¹ da dx y=f(x) joss a each slice is a right triangle with base = height b X

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...
icon
Related questions
Question
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?
b
f(f(x))²2 da
a
·b
ST
a
π(f(x)) dx
·b
ST
a
π(f(x))² dx
[ 12 (f(x)) ² da
a
a
y=f(x)
each slice is a right
triangle with base = height
b
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? b f(f(x))²2 da a ·b ST a π(f(x)) dx ·b ST a π(f(x))² dx [ 12 (f(x)) ² da a a y=f(x) each slice is a right triangle with base = height b X
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer