A solid is constructed so that one side is the region between the lines 0, 1= 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? S* n(f(x))² dæ b T(f(x)) dr [- f(f(=))² dz 4 Ba ½ (12))²2 de da y=f(x) each slice is a right triangle with base = height

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 74E
Question
A solid is constructed so that one side is the
region between the lines
0, 1 = 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?
76
T(f(x))² dx
of Th
n(f(x)) dx
(f(x))² da
[² d
y=f(x)
each slice is a right
triangle with base = height
Transcribed Image Text:A solid is constructed so that one side is the region between the lines 0, 1 = 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? 76 T(f(x))² dx of Th n(f(x)) dx (f(x))² da [² d y=f(x) each slice is a right triangle with base = height
Expert Solution
steps

Step by step

Solved in 3 steps with 5 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,