y = f(x) S 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) = 4 and below by the graph of y = g(x) = 25x². Cross-sections perpendicular to the x-axis are squares. (See picture above, click for a better view.) Use the formula to find the volume of the solid. The lower limit of integration is a = The v = [² V "A A(x) dx upper limit of integration is b = The sides of the square cross-section is the following function of a: A(x)= Thus the volume of the solid is V =
y = f(x) S 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) = 4 and below by the graph of y = g(x) = 25x². Cross-sections perpendicular to the x-axis are squares. (See picture above, click for a better view.) Use the formula to find the volume of the solid. The lower limit of integration is a = The v = [² V "A A(x) dx upper limit of integration is b = The sides of the square cross-section is the following function of a: A(x)= Thus the volume of the solid is V =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:y = f(x)
S
y = g(x)
base view
S
cross-section
The base of a certain solid is the area bounded above by the graph of y = f(x) = 4 and below by the graph of y = g(x) = 25x².
Cross-sections perpendicular to the x-axis are squares. (See picture above, click for a better view.)
Use the formula
b
= [² ²
a
-
V
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 x:
A(x)=
Thus the volume of the solid is V =
←
←
I-
A(x) dx
▲
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