Q1: Find the volume of the solid whose base in xy-plane bounded by the circle x2 + y? 1 and the line y=1-x in the 1st quadrant and whose top lies in the plane: f(x, y) = 3 – x – y. %3D

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Q1: Find the volume of the solid whose base in xy-plane bounded by the circle x2 + y2 =
1 and the line y=1-x in the 1st quadrant and whose top lies in the plane:
z = f(x, y) = 3 – x - y.
Q2: Change the Cartesian integral into
equivalent polar integral, then solve it.
an
V3
y = x
dy dx
y = 1
sqrt(3)
Transcribed Image Text:Q1: Find the volume of the solid whose base in xy-plane bounded by the circle x2 + y2 = 1 and the line y=1-x in the 1st quadrant and whose top lies in the plane: z = f(x, y) = 3 – x - y. Q2: Change the Cartesian integral into equivalent polar integral, then solve it. an V3 y = x dy dx y = 1 sqrt(3)
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