Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
(2)
Set up and evaluate the integral needed to find the exact volume V of the solid
whose base is in the first quadrant bounded by the curve y = √2 + 4x, the line x = 0,
the line x = 2, and the x-axis. The cross-section slices are triangles whose bases are
perpendicular to the x-axis with each base equal to the height of the triangle.
y-axis
3
-2
1
V =
y = √2 + 4x
N
x-axis
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Transcribed Image Text:(2) Set up and evaluate the integral needed to find the exact volume V of the solid whose base is in the first quadrant bounded by the curve y = √2 + 4x, the line x = 0, the line x = 2, and the x-axis. The cross-section slices are triangles whose bases are perpendicular to the x-axis with each base equal to the height of the triangle. y-axis 3 -2 1 V = y = √2 + 4x N x-axis
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