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Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 13E
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Transcribed Image Text:Consider the definite integrals I, II, III and IV below.
I:
+ (x [** dz) - #
x dx
II: 27
Jo
+ [
III: TT
(-y³ + y² + 2y) dy
IV: 2π
(-x² + 5x - 4) dx
[² x√e dx + 2x [* (x√x - x² + 2x) dx
x dx + π
Which of I, II, III or IV give the volume of the solid generated when the shaded region is revolved
about the x-axis?
O II only
O II and III only
O I and II only
O I, II and III only
OIV only
Transcribed Image Text:The shaded region below is bounded by the semi-parabola y = √, the line y = x - 2, and the
x-axis.
-2-
-1-
II: 2π
0
Consider the definite integrals I, II, III and IV below.
+ ( + √² 2 4²) - 4
I:
dx
0
·S (-2²³ + 3² + 2y) dy
3
4
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