Set up a double integral for the volume of the solid bounded by the cylinder y² + ² the planes, x-2y. x 0, and z- 0 in the first octant. -L f(x,y) de dy (Be sure to enter the bounds in the correct order) a- b f(x,y)= V 4 and Enter ax for az and ay for ay (do not insert a space, a multiplication operator, or parentheses) Enter sqrt(x) for √√: for example enter sqrt(1-x^2) for √1-x²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Set up a double integral for the volume of the solid bounded by the cylinder y² +2²=4 and
the planes, x - 2y, x = 0, and z 0 in the first octant.
-LL"
f(x,y) da dy
(Be sure to enter the bounds in the correct order)
b-
C =
d =
f(x,y)=
V=
Enter ax for ax and ay for ay (do not insert a space, a multiplication operator, or
parentheses)
Enter sqrt(x) for √√; for example enter sqrt(1-x^2) for √/1-²
Transcribed Image Text:Set up a double integral for the volume of the solid bounded by the cylinder y² +2²=4 and the planes, x - 2y, x = 0, and z 0 in the first octant. -LL" f(x,y) da dy (Be sure to enter the bounds in the correct order) b- C = d = f(x,y)= V= Enter ax for ax and ay for ay (do not insert a space, a multiplication operator, or parentheses) Enter sqrt(x) for √√; for example enter sqrt(1-x^2) for √/1-²
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