Let f be the function defined by f(x) = (a) Find the area of R. B I Y X² X₂ 3 C √ (z+ 2)² 2-2 sin √ B I for 2 ≤ <0 for 0≤as t 22 # E B I U x² X 3 C 22 (b) Region R is the base of a solid. For this solid, each cross section perpendicular to the z-axis is a square. Write, but do not evaluate, an expression involving one or more integrals that gives the volume of the solid. E .The graph of f is shown in the figure above. Let R be the region bounded by the graph of f and the z-axis. (c) The portion of the region R for 1 ≤ y ≤ 2 is revolved about the z-axis to form a solid. Find the volume of the solid. x² X₂ 5 C 2 E E A O

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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Let f be the function defined by f(x) =
(a) Find the area of R.
B I U X² X₂ 3 Ć
B I U x² X₂
(2²/(x + 2)²
2-2 sin √
B
2 EE
I U X² X₂ S
(b) Region R is the base of a solid. For this solid, each cross section perpendicular to the x-axis is a square. Write, but do not evaluate, an expression involving one or more integrals that gives the volume of the solid.
22
for 2 < x < 0
for 0≤x≤²
(c) The portion of the region R for 1 ≤ y ≤ 2 is revolved about the x-axis to form a solid. Find the volume of the solid.
The graph of f is shown in the figure above. Let R be the region bounded by the graph of f and the x-axis.
C 22
A
2
-X
Transcribed Image Text:Let f be the function defined by f(x) = (a) Find the area of R. B I U X² X₂ 3 Ć B I U x² X₂ (2²/(x + 2)² 2-2 sin √ B 2 EE I U X² X₂ S (b) Region R is the base of a solid. For this solid, each cross section perpendicular to the x-axis is a square. Write, but do not evaluate, an expression involving one or more integrals that gives the volume of the solid. 22 for 2 < x < 0 for 0≤x≤² (c) The portion of the region R for 1 ≤ y ≤ 2 is revolved about the x-axis to form a solid. Find the volume of the solid. The graph of f is shown in the figure above. Let R be the region bounded by the graph of f and the x-axis. C 22 A 2 -X
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