y=tx y=kx base view cross-section The base of a certain solid is the area bounded above by the graph of y = f(x) = 9 and below by the graph of y = g(x) = 4x². Cross-sections perpendicular to the y-axis are squares. (See picture above, click for a better view.) Use the formula - [² A(y) dy V = to find the volume of the solid. The lower limit of integration is a = The upper limit of integration is b = The sides of the square cross-section is the following function of y: A(y)= Thus the volume of the solid is V =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 37E
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y=f(x)
y= g(x)
base view
cross-section
The base of a certain solid is the area bounded above by the graph of y = f(x) = 9 and below by the graph of y = g(x) = 4x².
Cross-sections perpendicular to the y-axis are squares. (See picture above, click for a better view.)
Use the formula
V:
7 = [ A(u) dy
a
to find the volume of the solid.
The lower limit of integration is a =
The upper limit of integration is b =
The sides of the square cross-section is the following function of y
y:
A(y)=
Thus the volume of the solid is V =
->
←
-
←
Transcribed Image Text:y=f(x) y= g(x) base view cross-section The base of a certain solid is the area bounded above by the graph of y = f(x) = 9 and below by the graph of y = g(x) = 4x². Cross-sections perpendicular to the y-axis are squares. (See picture above, click for a better view.) Use the formula V: 7 = [ A(u) dy a to find the volume of the solid. The lower limit of integration is a = The upper limit of integration is b = The sides of the square cross-section is the following function of y y: A(y)= Thus the volume of the solid is V = -> ← - ←
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